Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist, enter DNE.) f(x) = (x+8)2/3 f'(-8)= -15 -10 (-8, 0) -5

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Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

Q: it got marked wrong. how am is upposed to type it in.

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Q: F(x)=x4 - 4x³ + 3x², find the following: i) The extrema of the function. ii) The coordinates of the…

A: Given,

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

A: Given; r(t)=6cos(t)i + 6sin(t)j.

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_ (ti+ sin(t)j +…

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Q: Find the area of the surface given by r(u, v)=9ui-vj+vk, where 0≤u ≤2 and 0 ≤ y ≤4. O 45√2 O 38/2 O…

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Q: Find the derivative of the function. g(t) = 1²- g'(t) = Submit Answer +³

A: We have to find derivatives

Q: 10. Evaluate -8 dx √1+x So f

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Q: Given the demand function q = 603-5p, determine the price where demand has unit elasticity. OA.…

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Q: Finally, to determine if Rolle's Theorem can be applied, we also need to check if the required…

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Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

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Q: 1 17. If the function 2 x² - 4 constants A and B respectively are: 1 A. A = B. A= 4 B B 1 4 1 4 is…

A: "Since you have asked multiple question, we will solve the first question(17th) for you. If you want…

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Q: 4 1-2 sin 0 equation of the conic (b) Given r=- Find the distances from the pole to the vertices and…

A: Given: r=41-2 sinθ

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A: Inverse laplace

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A: Please see the below picture for detailed solution.

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Q: 7 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A: We need to solve differential equation.

Q: n3 e the following: i) ii) (7x² + 5x+)dx (8x³+2√x++)dx Given that f'(x) = 3x² - 4x + 10x6 and y=f(x)…

A: Topic:- application of integration      Note :- as per our guideline if more than three subparts…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: We will find the solution

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A: Answer: As per guidelines we can do only first three subparts of question , so post other separately…

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A: Solution of given question is written in below steps.

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A: The Solution is given below

Q: Find the radius of convergence of the series Σ 8 mn n=1 2n (2 01 Ο 1/2

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A: In this question we have to find the Normal Vector using gradient.

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Q: The polar coordinates of a point are (12, coordinates of the point. ○(-6√3,6) (6,-6√2) O O (6,-6)…

A: We have to solve above question

Q: Examine the function f(x, y) = x³-27xy+y³ +6 for relative extrema and saddle points O relative…

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