Match each point in polar coordinates with either A, B, C, or D on the graph. D

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Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to æ + y…

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Q: Find the area of the region bounded by the curve y = 9- x2 and the x-axis. Answer:

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Q: 49 x dx -7

A: answer is in next step

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Q: Find the area bounded by the curve y = 4x-x and and the lines x = 0 and y = 4. %3D Answer.

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Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: 8. (x'-20) (x-3)

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Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

Q: 3End any possible angle LB if ZA=30°, a=14 and b=10

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Q: Find the area bounded by the curve y = 4x-x2 and y = 3. %3D Answer:

A: Solve the following

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Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

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Q: Find the Taylor polynomial of order 3 generated by x at a f(x) 1 a = 0 x+6*

A: Solve the following

Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

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A: Given

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A: Solve the following

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A: We have to find out derivative

Q: Evaluate the following algebraically. csc? x lim 1 O 1 O -1 8. 8.

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: We want to find area using geometry.

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

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Q: valuate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given, f(x)=x8, 0,8 Recall:  f(c)=1b-a∫abf(x)dx We have, a=0, b=8

Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: power series converges at a single a. what is the radius Of ConvergCnC (c) R=0

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Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

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Q: Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y…

A: Given; 2x+3y=6

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

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Q: S(9% + 33* + 2²) dx

A: Given

Q: Consider the function f(x) — 6ӕ* — 9a? + 10х — 9. - An antiderivative of f(x) is F(x) = Ax* + Bx³ +…

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Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

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Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

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

Q: (425 + 62?)dx Find -2

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Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

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Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A: Follow next step

Q: Determine how many acres are in 6.7312 x 10" square kilometers. What is your calculated answer most…

A: Given query is to convert square kilometres to acres.

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: 5) Find cos (20) if tan @) =Ž and e is in quadrant 3.

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Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.