In evaluating 2₁3² (x³ − 1) dx, we make the substitution u O O x³-1 dx (x³ − 1) 3x²

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A: Given  x = 1sin8( t5 )

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A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

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A: Given function f( x ) = 36-x2

Q: Let f(x) = 7x sin(x) cos(x). Evaluate 3TT f'(x) at x = 3³77₁ ƒ' (³)

A: f(x)=7xsinxcosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(a.b)=adbdx+bdadx

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A: Solution is given below:

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Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

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A: The details solution of the given question is given below in step 2.

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

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A: Given f( x ) = ( x4 - 2x ) g( x ) = ( x2 + 2x - 62 ) h( x ) = 2x - 13

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Q: Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a…

A: Please see the below picture for detailed solution.

Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: 2 Find the average height of the paraboloid z = x +y over the square 0 ≤x≤ 1,0 ≤ y ≤ 1

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Q: 4. Find the exact and the approximate value of x: 2* = 5*-1. Round answer to three decimal places. N

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Q: 7. Evaluate the limit: lim . a. 0 b. 1 *--* C. d. T +00

A: Given: limx→ππ

Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: The graph of y = f'(x) is shown. 10 9 -8- 7 6- 5 4 3 2 1 10-9-8-7-6 फं A -2 -3- -4 -5 -6 -7 -8 9 10…

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Q: Suppose that f is differentiable at 1 and f'(1) = 1 = f(1). Evaluate x¹ f(x²+x-5) - 16 x²4 lim x-2

A: Given f is differentiable at 1 f'(1)=1=f(1) We are required to find limx→2x4fx2+x-5-16x2-4

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Q: Effect of Capital Expenditures on GDP An economist has determined that a certain country's gross…

A: Given function f( x ) = 620x15

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Q: implied domain for the following function. x^(2)-4x=5x-6y

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Q: d) lim √2 - x X-2+

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Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

A: Given: Gx = ∫0xg(t)dt   , 0≤x≤5 To find: The point of maximum and minimum of G(x) and maximum ,…

Q: 3. Determine whether the series is convergent or divergent. State which test for convergence or…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: 3) Curve Sketching: The function y = f(x) and its derivatives are given below. Use the information…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

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Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: Here is the solution:

Q: 6y' - 2y = xy¹, y (0) = -1

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Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: The domain of origin that satisfies the function f(x)= (x)/(x+2) is.

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