PLEASE HELP ME I BEEGGGG

Answer:

simplify?

x^5 Y^5 Z^5

Step-by-step explanation:

1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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In terms of π, the area of the circle is 2.25π yd².

So, the radius of circle(r) = 1.5 yd

The area of the circle is given by:

Therefore, in terms of π, the area of the circle is 2.25π yd².

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If the power of the polynomial is 1. Then the degree of the polynomial is one.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear polynomial is given below.

⇒ (7/4)x + 3

The power of the polynomial is 1.

Then the degree of the polynomial is 1.

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The given differential equation can be solve as (1 + x²)¹/²  - ln|(1 + x²)¹/²  + x⁻¹ + C1 = (1 + y²)¹/² - ln|(1 + y²)¹/²  + y⁻¹ + C2

We are given the differential equation:

x(1+y²)¹/² dx = y(1+x²)¹/² dy

To solve this equation by separation of variables, we need to separate the variables x and y, and then integrate both sides.

Dividing both sides by y(1+y²)¹/² dx, we get:

x/(1+x²)¹/² dx = y/(1+y^2)¹/² dy

Now we can integrate both sides. Let's integrate the left-hand side first:

∫ x/(1+x²)¹/²  dx

We can use the substitution u = 1 + x², which gives us:

du/dx = 2x

dx = du/2x

Substituting dx in terms of du, we get:

∫ x/(1+x²)¹/²  dx = ∫ (1 - 1/(1+x²)) dx¹/²

= ∫ (1 - 1/u) du¹/²

= u¹/²  - ln|u¹/²  + u¹/² | + C1

= (1 + x²)¹/²  - ln|(1 + x²)¹/²  + x⁻¹| + C1

where C1 is the constant of integration.

Now let's integrate the right-hand side:

∫ y/(1+y²)¹/²  dy

We can use the substitution v = 1 + y², which gives us:

dv/dy = 2y

dy = dv/2y

Substituting dy in terms of dv, we get:

∫ y/(1+y²)¹/² dy = ∫ (1 - 1/(1+y²)) dy¹/²

= ∫ (1 - 1/v) dv¹/²

= v^(1/2) - ln|v¹/²  + v¹/² | + C2

= (1 + y²)¹/²  - ln|(1 + y^2)¹/²  + y⁻¹| + C2

where C2 is the constant of integration.

Therefore, the general solution to the differential equation is:

(1 + x²)¹/²  - ln|(1 + x²)¹/²  + x⁻¹ + C1 = (1 + y²)¹/² - ln|(1 + y²)¹/²  + y⁻¹ + C2

where C1 and C2 are constants of integration.

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Therefore, the original number is 10x + y = 10(10) + 7 = 107.

Given that the sum of the digits is seventeen, we have the equation:

x + y = 17 (equation 1)

The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.

According to the given information, we have the equation:

10y + x = 5x + 30 (equation 2)

To solve the system of equations, we can substitute equation 1 into equation 2:

10(17 - x) + x = 5x + 30

Expanding and simplifying:

170 - 10x + x = 5x + 30

170 - 30 = 5x + 10x - x

140 = 14x

x = 10

Substituting the value of x back into equation 1:

10 + y = 17

y = 7

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

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Answer: 2x(x^-4)(x^-2)

Answer:

Step-by-step explanation:

Triangle ABC

Apply rule of Cosin

If 12^ + 9^2 - 2•12•9 Cos X= 18^2

Then

144+ 81 - 216CosX = 324

CosX = (324 -225)/(-216) = 99/-216

CosX = -0.46

Then answer is YES, its a triangle because CosX only have values

between -1 and 1, and -0.46 is between them

Answer:

0.01

Step-by-step explanation:

Assuming the deck is the national playing deck with 52 cards.

Your probability of getting a 3 from the entire deck is 4/52. This number is the same for 10.

To get the probability of pulling a 3 and a 10 afterwards, you must multiply these two fractions (you're expecting a lower percentage).

\(4/52 * 4/52 = 0.0059\)

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and   B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

----------------

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

----------

(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

The number 125 is a 41st term of the sequence defined by the explicit rule f(n) = 3n + 2.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

The sequence defined by the explicit rule,

f(n) = 3n + 2.

The number 125 is a term of the sequence.

To find the term,

125 = 3n + 2

3n = 123

n = 41

Therefore, the term is 41.

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Answer:

Step-by-step explanation:

<CDE or <EDC

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

b. The quadratic is expressed in standard form; a=8, b= -5, and c=3.

Answer:

5/2+2/4=d

or d=3

Step-by-step explanation:

its all

Answer:

-3.2 or -1.5

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x+(-2)>3

-2x>3 -3/2 or -1.5

---- -----

-2 -2

Answer:

add 2

Step-by-step explanation:

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Answer:

B)28

Step-by-step explanation:

Answer:

B. corresponding angles are congruent

Answer:

4 x 3 = 12

Step-by-step explanation:

12 x 1 = 12

6 x 2 = 12

The component form of the vector PQ, where P = (1, 5) and Q = (4, -4), is (3, -9).

To find the component form of PQ, we subtract the coordinates of point P from the coordinates of point Q.

In this case, subtracting the x-coordinate of P from the x-coordinate of Q gives us 4 - 1 = 3, and subtracting the y-coordinate of P from the y-coordinate of Q gives us -4 - 5 = -9.

Therefore, the component form of PQ is (3, -9).

In vector notation, PQ can be represented as PQ = Q - P. This means that the vector PQ points from P to Q.

The first component of PQ represents the change in the x-coordinate from P to Q, and the second component represents the change in the y-coordinate.

In this case, moving from P to Q, the x-coordinate increases by 3 and the y-coordinate decreases by 9, resulting in the component form of (3, -9) for PQ.

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The inequality that represents the greatest number of boxes he can move in one trip is 255 + 50b ≤ 4000.

The solution of the inequality is 74.

The number of trips he would make to deliver 310 boxes is 5.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≤

The form of the inequality is:

Weight of the worker + weight of the cart + (weight of the boxes x number of boxes) ≤ 4000

160 + 95 + (50 x b) ≤  4000

255 + 50b ≤ 4000

In order to determine the value of b, take the following steps:

Combine similar terms:

50b ≤ 4000 - 255

50b ≤ 3745

b ≤ 3745 / 50

b ≤ 74.9

The number of boxes he can carry is 74

Number of trips = total number of boxes / number of boxes he can carry in one trip

= 310 / 74

= 4.1

= 5 trips

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