4 √² (²+ (2 + √ 4 − (x − 2)²) dx.

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Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

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Q: * 5. Find the point on the plane 4x + 3y + z = 2 closest to (1,-1,1)

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Q: Loyd is floating in his boat 2 km from the straight shoreline of a still lake .Standing at a…

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Q: Σ(3)" n=1

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Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

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Q: Use an appropriate test to determine whether the series converges. M8 Σ k=1 k! 18kkk Select the…

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Q: 2. Find an equation for the tangent line to the graph at the specified value of x.. y=x'sin 4x at x₁…

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Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to C'(x)…

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Q: Approximate the area under the curve y = x³ from x = 3 to x = 5 using a Right Endpoint approximation…

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Q: FIND y’’ OF y = square root of (x^2+1).

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Q: Perform the partial fraction decomposition on the following expressions: a. 2²-1 b. C. d. 2x² +8x+3…

A: according to bartleby guide line we do only first part of mutiple please repost other parts in next…

Q: x-y x+y+1' 1. Let f(x, y) (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

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Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

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Q: Find the minimum and maximum values of the function subject to the given constraint f(x, y) = 16x² +…

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Q: Rearrange the objective function G = 3x₁ + x₂ + 2x3 so that it can be maximized inside a simplex…

A: Please see the solution .

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Q: Convert y = 29 z² to polar coordinates in the form: r is a function of 0. r =

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Q: Find a parametric description r(t) for the following curve. The line segment from (6,4,8) to…

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Q: Determine whether the series converges. Σke-k² 8 k=1 The series

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Q: 7. Find all the relative extrema and saddle point(s) of the function given by f(x, y) = (1 +…

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Q: Find f(x) by solving the initial value problem. ƒ'(x) = 1 +e³ +—; ƒ(1) = 7+e

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Q: Expand, that is, perform the indicated operations on the differential operator D (xD+2)(xD-2)

A: Solution: The given differential equation is  (xD+2)(xD-2)

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Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

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Q: The first derivative of a continuous function y = f(x) is y' = (5x² − 8x) (x-4)². Find y'

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Q: Question Find the area of the region enclosed by one loop of r = Enter an exact answer. Provide your…

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Q: Use a convergence test of your choice to determine whether the following series converges or…

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Q: Which of the following is not a way for a derivative to fail to exist? c. vertical tangent d.…

A: As we know If function discontinuous at a point x=a,then there must be non differentiable at x=aSo…

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim tan(52) Number

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Q: A company's marginal cost function is C'(x) = 423 - 2x + 0.03x²2 where x is the number of units,…

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Q: find all solutions y(x) of the boundary value problem y"+9y=0, y(0) =3, y'(pi/3)=-3

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