Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

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A: Please see the below picture for solution.

Q: After substitution is performed, which of the following is equivalent to xV4x² + 9 dx? 25 du 8. 25…

A: Here is the solution:

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

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Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

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Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

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Q: 12 Let y24xー4x+3 le) Find the eauetion.of the tangent Iine to the graph of the fuuction att x-2; O…

A: We have to find tangent line

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Q: 14. Given f'(x)= 5e* – 4 and f(0) = 2; find f(x).

A: We need to find f(x).

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

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Q: The demand for grass seed (in thousands of pounds) at price p dollars is given by the following…

A: The demand for grass seed in thousands of pounds at price p dollars is given by the following…

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Q: The cylindrical coordinates of the point with rectangular coordinates (-V2, -v2, v2) are (v2, , V2).…

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Q: 6. 19-x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

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Q: One set of cylindrical coordinates of the point with the rectangular coordinates (2, 2, 4) is:…

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Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

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A: The given functions are:a. fx=3x+tan2xb. y=cos32x.We need to find the derivative of the above…

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Q: Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+…

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Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

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Q: x2 - 6x + 8 lim x--2+ x3 - 4x

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Q: 1. Find the most general antiderivative of the function f(x)D + sin(4- r) +7e

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Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

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Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

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A: Here, the given vectors are: P(0,0,0) &amp; Q(4,5,4)

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

A: This question can be solved using the concept of trigonometry.

Q: P7: x3 + x – 1 x(x – 1)(x + 5)²

A: The given problem is solved below in detail.

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Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

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Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

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Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: Find div F and curl F if F(x, y, z) = 14y°z4i – 3x°z+j – 3xy'k. %3D div F= curl F=

A: Given that,Fx,y,z=14y6z4i-3x3z4j-3xy3k

Q: 2. Evaluate the following definite integral. You can assume the function is defined b the limits of…

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