25] 26. Find the volume of the region that is between the ry-plane and f(x, y) = y + e** and above the triangle with the vertices (0,0), (2,0) and (2, 2). [7 marks]

Answers

Answer 1

The volume of the region that is between the ry-plane and

f(x, y) = y + e^x

= 4 - 3e^2.

and above the triangle with the vertices (0,0), (2,0), and (2, 2)

The region can be visualized in the following diagram:

Volume of the region between the ry-plane and

f(x, y) = y + e^x

and above the triangle can be calculated using the following double integral:

∬T (f(x, y) - 0) dA,

where T is the triangle with vertices (0,0), (2,0), and (2, 2).

Using the above integral we get:

∫02 ∫0yx + e^ydydx + ∫22 ∫0(2 - x + e^y) dydx,

this becomes equal to

∫02 ∫0yx + e^ydydx + ∫22 [y* (2 - x) + e^y(2 - x) - e^y] dydx.

Integrating with respect to y we get,

∫02 ∫0yx + e^ydydx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from y = 0 to

y = x dx + ∫22 [y^2/2 + e^y(2 - x) - e^y * y]

limits from

y = x to y = 2

dx= ∫02 ∫0x + e^ydydx + ∫22 [(2 - x) * (2 - x)/2 + e^x(2 - x) - e^x * x - x^2/2 - e^x * x + e^x * 2] dx.

Solving the integral we get:

∫02 ∫0x + e^ydydx + ∫22 [- x^2/2 + 2xe^x - (5/2)e^x + 2] dx

= ∫02 [(x + xe^x - (5/2)e^x + 2x^2/2)]

limits from x = 0 to x = 2

dx = [(2 + 2e^2 - 5e^2 + 2*2^2/2)] - [(0 + 0 - 0 + 2*0^2/2)]

= 2 + 2e^2 - 5e^2 + 2

= 4 - 3e^2.

Thus, the volume of the region is 4 - 3e^2.

Hence, the required volume is 4 - 3e^2.

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Related Questions

1.) X + 2 = 3. 2.) 2 x X = 12. 3.) 7x + 4 = 18. 4.) 4x - 7 = 1
I have to show my work otherwise I don’t get points-

Answers

Answer:

1)  X + 2 = 3

ans= x=3-2

x=1

2.) 2 x X = 12

ans= 2x=12

x=12/2

x=6

3.) 7x + 4 = 18

ans=7x =18-4

7x=14

x=14/7

x=2

4.) 4x - 7 = 1

ans= 4x=1+7

4x=8

x=8/4

x=2

hope it helps thank uu...

Need help please show work

Need help please show work

Answers

Answer:

Add the lengths:

5x - 16 + 2x - 4 = 7x - 20

11(7+9) using distributive property

Answers

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

I’m stuck on theses three problems, please help and please hurry

Im stuck on theses three problems, please help and please hurry

Answers

3:
Area is found by using length x width. Just reverse the process to find your missing figure. 96/12=8
The width is at least 8ft.
4:
Subtract the bonus from the total
165-25=140
Now divide total from hourly rate to get hours needed
140/3.50=40.
He must work 40 hours to make $165 with his bonus included.

Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.

Answers

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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find the value of x. pls and thank you quickly

find the value of x. pls and thank you quickly

Answers

Answer:

X=4

Step-by-step explanation:

\(\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4\)

hope it helps....

the answer is 4, x=4

WILL GIVE BRAINLIEST determine if linear. if it is, find the rate of change

WILL GIVE BRAINLIEST determine if linear. if it is, find the rate of change

Answers

Yes it’s liner and the change of rate is 3/4

Solve for W:
P = LW

Solve for W:P = LW

Answers

Answer:

W=P/L

Step-by-step explanation:

the height of a right triangle is 3 times the length of the base. if the area of the triangle is 96 cm2, what is the height, in centimeters?

Answers

The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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This isn’t too difficult of questions and I am pretty sure I know the answers but I just want to make sure. Can someone please help.

This isnt too difficult of questions and I am pretty sure I know the answers but I just want to make

Answers

Q2 Anwser
Exact Form:
28/15
Decimal Form:
1.86
Mixed Number Form:
1 13/15

(–84 + 17) – | –29 – 18 |

Answers

Answer:

 A. -114

Step-by-step explanation:

Got it right.

Round 17,475 to the nearest hundred. Then round your answer to the nearest thousand.

Answers

Answer:

20,480

Step-by-step explanation:

17 would round up to 20 cuz 5,6,7,8,9, round up and 1,2,3,4, round down easy

HELPPP



I'll give brainliest to a neat answer. Please don't just give me a whole paragraph of explanations. I want answers only please and a small explanation

HELPPPI'll give brainliest to a neat answer. Please don't just give me a whole paragraph of explanations.

Answers

Answer:

Step-by-step explanation:

Decompose each number:

\(6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\)

Correct the error. Write the correct decomposition:

\(12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\)

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Put these numbers in order from least to greatest.

0.92,0.43, and 9/10

Answers

Answer:

0.43,9/10,0.92

Step-by-step explanation:

Answer:

0.43, 9/10, 0.92

Step-by-step explanation:

9/10=0.9=0.90


Question 9 (2 points)
Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?
Enter your answer in the box below.
f(3) =

Question 9 (2 points)Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?Enter your

Answers

If the function be f(x) = 4x - 2 then the value of f(3) exists 10.

What is meant by function?

An expression, rule, or law that establishes a connection between an independent variable and a dependent variable.

In mathematics, a variable is referred to as the alphabetic symbol used to represent a number or numerical value. An unknown quantity is represented by a variable in algebraic equations.

In mathematics, a function is a relationship where the values of one or more independent variables determine the values of a single dependent variable. The term "function" denotes that the independent variable influences the dependent variable.

Let the function be f(x) = 4x - 2

substitute the value of x = 3, then

f(3) = 4 × 3 - 2

simplifying the above equation, we get

f(3) = 10

Therefore, the value of f(3) exists 10.

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What is the slope in the equation y = 2x + 3

Answers

The slope is 2 and the intercept is -3

Solve 7x+41≤6x+46, where x is a whole number. Which graph represents all the solutions to this inequality?

Answers

The solution is x ≤ 5.

The graph that represents all the solutions to this inequality is given below.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

7x + 41 ≤ 6x + 46

Solve for x.

7x + 41 ≤ 6x + 46

7x - 6x ≤ 46 - 41

x ≤ 5

This means,

The solutions are 5 and values less than 5.

The graph is given below.

Thus,

The solution is x ≤ 5.

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Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

Answers

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Asap! I’ll mark you brainlest
What does How much did each candy bar cost?





Add
Subtract
Divide
Multiply

Asap! Ill mark you brainlestWhat does How much did each candy bar cost?Add Subtract Divide Multiply

Answers

Answer:

One candy bar cost $4.02

Step-by-step explanation:

14.19 - 5.79 = 8.4 (total candy bar cost)

8.4 / 2 = 4.2 cost of one candy bar

Answer:

4.2

Step-by-step explanation:

14.18-5.79 = 8.4

8.4/2 = 4.2

the cost of a pair of sneakers increases about 5.1% ever year. about how mch would a pair of p snearks vost 25 yers from now?

Answers

We can calculate the future cost of sneakers by taking the present cost as the initial value and applying a 5.1% increase every year for 25 years.

If the cost of a pair of sneakers increases by approximately 5.1% every year, we can estimate the cost of a pair of sneakers 25 years from now. To calculate this, we can use the compound interest formula.

The compound interest formula can be used to calculate the future value of an investment or in this case, the cost of sneakers after a certain number of years. The formula is given by: A = P(1 + r)^n, where A is the future value, P is the present value, r is the annual interest rate (as a decimal), and n is the number of years.

Using this formula, we can calculate the future cost of sneakers by taking the present cost as the initial value and applying a 5.1% increase every year for 25 years.

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A1=3
An=2(an-1+1)
What's a2 a3 and a4

Answers

Answer:

a2 is a3 B is 2 and a4 is -2

Step-by-step explanation:

just math and more math

Solve for xx. Round to the nearest tenth, if necessary.

Solve for xx. Round to the nearest tenth, if necessary.

Answers

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos27° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{KL}{KM}\) = \(\frac{6.3}{x}\) ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = \(\frac{6.3}{cos27}\) ≈ 7.1 ( to the nearest tenth )

6 blue chips 13 pink chips 7 white chips Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? PLEASE HELLPP

Answers

Answer:

9/169

Step-by-step explanation:

Total number of chips

6 + 13 + 7 = 26

Probability of a blue chip

P(blue) = blue / total = 6 / 26 = 3/13

The subsequent blue has same probability as the chip is replaced.

Probability of two blue chips is

P(blue, blue) = 3/13*3/13 = 9/169

Answer:

\(\sf \dfrac{9}{169}\)

Step-by-step explanation:

The bag has:

6 blue chips13 pink chips7 white chips

⇒ Total number of chips = 6 + 13 + 7 = 26

Probability Formula

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Probability of choosing a blue chip from the first draw:

\(\implies \sf P(Blue)=\dfrac{6}{26}\)

As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.

Therefore, the probability of taking out a blue chip in both draws is:

\(\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}\)

12 divided by 11 in fraction form

Answers

Answer: if you are talking about mixed number form the answer is 1 1/11 the improper/exact form would just be twelve over eleven (12/11)

Step-by-step explanation:

there are 5 marbles in a bag: white, yellow, pink, blue, red. there is an equal probability of getting any colored marble. what is the expected number of times we get a white marble if we draw a marble out of the bag 25 times with replacement?

Answers

The probability of drawing a white marble if we draw marbles out 25 times with replacement is 1/5.

What do we mean by probability?The probability is determined by dividing the total number of outcomes by the total number of potential events. Odds and probability are two different concepts.Calculating odds involves dividing the probability of an event by the probability that it won't happen.

We know that there are 5 marbles in the bag which are:

White, yellow, pink, blue, and red.

We also know that there is an equal probability of getting a marble.

Probability formula: P(E) = Favourable events/Total events

So, the probability of drawing white marble:

P(E) = Favourable events/Total events

P(E) = 5/25

P(E) = 1/5

Therefore, the probability of drawing a white marble if we draw marbles out 25 times with replacement is 1/5.

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m<1 = 4x + 15, and m<2 = 6x-5, what is m<1

m&lt;1 = 4x + 15, and m&lt;2 = 6x-5, what is m&lt;1

Answers

Answer:

rvg g rtb rg  gt ggw

Step-by-step explanation:

g wgrgr wrgf  r

x
PLEASE HELP ME

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all
possible points
16 4.2

Answers

Answer: 8

16÷4×2

4×2

8

Step-by-step explanation:

B=Brackets

O=of

D=Division

M=Multiplication

A=Addition

S=Subtraction

Now, coming to problem

First, we will use operation division, then Multiplication.

=4× 2

=8

48+ [3+ 15 ÷{4+ 10 + (3-13)}]​

Answers

Hello!

48 + (3 + 15 ÷ (4 + 10 + (3 - 13)))

= 48 + (3 + 15 ÷ (4 + 10 + (-10)))

= 48 + (3 + 15 ÷ (4 + 10 - 10))

= 48 + (3 + 15 ÷ (14 - 10))

= 48 + (3 + 15 ÷ 4)

= 48 + (3 + 3.75)

= 48 + 6.75

= 54.75

This proof shows the first five steps for verifying Use the drop-down boxes to complete the steps of the proof.

Answers

the drop-down boxes to complete the steps of the proof =

1. Tangent Half-angle identity

2. 1 + cos x

3. 1 - cos x

In mathematics, trigonometric functions are real functions that relate the angles of a right triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy.

Trigonometric periodic functions repeat at predictable intervals, but are not a direct result of trigonometric functions. It can be used to accurately predict values ​​outside the original range. Common non-trigonometric functions include: Four corners. triangle.

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The question is incomplete. Please read below to find the missing content.

This proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos c-1 use the drop-down boxes to complete the steps of the proof

This proof shows the first five steps for verifying Use the drop-down boxes to complete the steps of

Which equation has an X intercept of 3 and a y intercept of 5?

Answers

y = -\(\frac{5}{3}\)x+5  equation has an X intercept of 3 and a y intercept of 5 .

  The point on a line where it crosses an axis is referred to as the "intercept." The slope of the line passes through a point called an intercept on the y-axis.

The equation for a line, which is written as y = mx+c, which stands for slope and y-intercept, respectively, reflects this.

The two main intercepts are X-intercept and Y-intercept. Where the line crosses the x and y axes, respectively, is where the line's x-intercept and y-intercept are situated.

In this case, you are given both intercepts.

Plot a line from the third x-axis point.

On the y-axis, place the coordinates y = 5.

The necessary line is a straight line that passes through these two places is

y = -\(\frac{5}{3}\)x+5

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