What is the derivative of f(x) = −‡x³ a at the point x = 3? Type an exact answer.

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A: Solution is following in explanation step.

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Q: Question Find the derivative of f (x) = (−2x² + 2x +4) xª Do not include "f'(x) =" in your answer.…

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Q: For Evaluate the following expression. Select the correct answer below: ={ f(x) = 4-x-x² 2x1 lim…

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Q: I Populations of aphids and ladybugs are modeled by the equations dA dt dL dt = 3A 0.03 AL (b). Find…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Find y'' if y=-8 cos x. OA. y'=8 sin x OB. y'= -8 cos x OC. y'= 8 cos x OD. y'= -8 sin x

A: Explaination of answer is as follows

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Q: Find the exact value of the integral using formulas from geometry. (3 (3+x)dx a) Write which…

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Q: 6 Use efºxc x² dx = 72 to evaluate each definite integral without using the Fundamental Theorem of…

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Q: 6. Determine whether the following series converges or diverges. 1 Σ tan (√) n=1

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Q: 11. Use the graph of f to sketch the graph of f'.

A: The given graph of f

Q: (d) If g(x) is an odd function, then g(x) dx =

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Q: Consider the graph of the function f below. What is the sign of the slope m of the tangent line at x…

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Q: (0) Σ n=1 (-1)" τα ηλ -(3x - 1)"

A: We are given the series  and we are to find the radius of convergence R and interval of convergence…

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Q: Let F(x) = f f(t) d t Sa f(t) dt, where f is the function whose graph is shown. Evaluate F(7)

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Q: 2. For the function g whose graph is shown, state the following. (b) lim g(x)= x-0 (a) lim g(x)=…

A: The graph of the function is given.The aim is to find the e)The equation of the vertical asymptotes.

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A: Consider the parametric equation

Q: Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x -…

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Q: Determine if the following function is continuous and differentiable at x = 0. ex - sin x f(x) = {…

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Q: Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. a) (gof)(2) b)…

A: To evaluate each of the following expression by using the graphs of  shown below.

Q: √3x + 16-5 x-3 18. lim- x 3

A: we need to find out the limit.

Q: Use polar coordinates to calculate A = ²³² dA where D is the region in the first quadrant - bounded…

A: The given integral  where D is the region in the first quadrant bounded by To find value of