Find the indefinite integral. (Use C for the constant of integration.) J In(e4x - 3) dx

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A: Topic = Functions

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Q: ef. F. Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (9t + 4)i + tj, Osts 1

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A: To write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2-i, that passes…

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A: Given query is to find average cost.

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A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

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A: Use maximization concept

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A: Formula used: dxndx=nxn-1

Q: 8) Prove sin (x+y) sin (x-y) = tan(x)+tan (y) tan(x)-tan (y)

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Q: For a small farm, the cost in dollars to produce x containers of ice cream is C(x) = 0.6x +14. The…

A: I am attaching image so that you understand each and every step.

Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

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Q: The form of the partial fraction decomposition of a rational function is given below. A B = Now…

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Q: Find the centroid of the region lying between the graphs of the functions yet and y | ICM усм 1 over…

A: Please see the below picture for detailed solution.

Q: 1 2 -x² + 4x + 5 y 12 where x is the horizontal distance in feet from the point at w the ball is…

A: Topic:- algebra

Q: answer

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Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

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Q: PS #1 9. A ladder 10 ft long rests against a vertical wall. Let 0: angle between the top of the…

A: A ladder 10 ft long rests against a vertical wall.Let θ: angle between the top of the ladder and the…

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: we will find the required.

Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: For the demand equation, use implicit differentiation to find dx p² + p + 9x = 120

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Q: 3. d dx Pick one by (and only one!) and prove it: [kf(x)]= = k f(x) d d.x d - [csc(x)]=-csc(x)…

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Q: Find the absolute extrema and where they occur for f(x) = 5x² + 11x - 3 on [-5, 1]. Give exact…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 2x3 + y4 + 8,    D = {(x,…

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Q: Match the vector field with its graph. F(x,y) - d + 30 트 토 ++ 11/

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt…

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Q: Oct 26, 8:38:14 PM Write a function in any form that would match the graph -10 -8 -6 Answer: f(x) =…

A: We have to write the function from the given graph of the function f(x).

Q: 4. (a) Use the graph of g" below to find where g is concave up, is concave down, and has inflection…

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Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

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A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: Answer the question. Does lim1 f(x) exist? If it does, find the limit. [-x²+1, -1<x<0 4x, 0<x<1 f(x)…

A: To find the limit of the piecewise function

Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

A: Given function:- fx=x3+6x2-96x+19

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Q: Differentiate f(x) = 5(6x8-8x6) ¹0. You do not need to expand your answer. f'(x) = Factor out the…

A: ddxxn=nxn-1

Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

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