3. a. -2 s = cos ¹(sin z) b. 1 C. -1 d. 2

Q: 3. f Arctany dy 4. fx(2x - 1)'dx

A: See this solution in below

Q: The area bounded by the x-axis, y = x², and y = 2 - x.

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Q: 3. Evaluate tan¹x² 1+x dx.

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Q: What is the average rate of change of the function f(t) = t² - 7t between t = -5 and t = -4? -16 -14…

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Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: he total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t3…

A: Solution of given question is written in below steps.

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: 5. Find the area bounded by the polar curve r = 4cos30.

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Q: 2x² + 5x-1 x³ + x² 3 -dx x² – 2x

A:

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: sin(tan x) cos²x Evaluate ·[³ dx.

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Q: √2 2 sin-¹(x)dx

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Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

A:

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: Evaluate the following integral: sin²(a) da

A:

Q: True or False: To evaluate the integral [si we save one sine factor and use sin²x = 1 - cos²x to…

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: What is lim O -∞ 0 1 2 O +∞ x^x + x^ I 2-700x + √x-2x√x²

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Q: et dx √ (e² = d − 1)(e* + 2)

A:

Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 5 f'(x) =…

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Q: ve the given init value problem. dy dx 3x²y + y² 2x³ + 3xy' y(2) = -3

A:

Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: 2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. a)…

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Q: f (x-2)(x+1)' dx

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Q: If f is a differentiable function and such that and g (x) =x^2 f(x) such that f(3) = -7 f'(3) = 2,…

A: This question can be solved using the concept of product rule of differentiation.

Q: Let g(t) = cos (nt). Compute the average value of g(t) over the interval IN

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Q: i) Use the change of variables formula and an appropriate transformation u = y - x and v = y + x to…

A:

Q: Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator…

A: According to question,Given Data,xt = t2 + 2e-2t + sin 3t ut

Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: Given: S dx x+2x3

A:

Q: Considering the integral below. Rewrite this same integral, reversing the order of integration. What…

A: Follow the procedure given below.

Q: Match the functions in Column A with their corresponding antiderivatives in Column A a. F(x) =…

A: Let's find antiderivative of function c.

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: Evaluate the following integrals. 1. ft³ cost dt 2. f x² e-x dx

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Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: 1. Evaluate x57x¹+192³-10r² - 19r+18 x45x³ +9x² 12²- da.

A:

Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: Given the matrices A - 5 -5 2 2 2 - 2 and B - 4 2 -1 -2 5 0 A. It is Select an answer to multiply…

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Q: A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors.…

A: We have to find out the diagonal

Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation