To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1- sin?2x © sin?2x = 1- cos²2x sin4x 1+ cos4x -&-

Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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A: fx=2x+3,x&lt;15,x≥1

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. P+1 dt (Express numbers in…

A: Evaluate the integration using the fundamental theorem of calculus.

Q: sin'x cos x dx Evaluate: (1– sinx)²(1+sinx)² sin 10 +C 10 A sin8x sin 10x +C 10 B 8 sin8x +C 8 D)…

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A: Here we will find asked quantities,

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A: Apply Leibniz test for convergence

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

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Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+…

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Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

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Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

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A: We know cosθ takes positive values in first quadrant that is for 0&lt;=θ&lt;=π/2 The equation…

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: Use logarithms to solve the equation for t. (Round your answer to two decimal places.) 20 = 10 1 +…

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Q: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

A: We will solve as follows

Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.8q+635. The​…

A: Given that the marginal cost for a company to produce q items is given by       MC(q) = 0.004q2 -…

Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

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Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

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Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

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Q: sin(e* ) dx sin - cos( sin-1x) + C 1-x

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A: Let's find.

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Q: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

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A: We have to find the critical and extremum points of the function.

Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

A:

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4…

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Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

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Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1

Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get