Question 15 Given the function f(x) =4x- 39x2+90x +2 which of the following describes its absolute extrema at interval [1. 6]?

Q: Question 2 For the following functions: f (x) = x3- 3x²- 9x + 4 a) Find all critical points. b) Find…

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Q: Question 12 10 If f is a continuous function and F'(x)= f(x) for all x E R, then x)dx=? 2[F(10) –…

A: We have to solve the problem

Q: Question 2: Check whether the given functions have at least one solution over the given intervals by…

A: Intermediate value theorem Theorem States that if function is continuous on the interval [a,b] and…

Q: QUESTION 1 a) Find the interval(s) on which the curve f(x)= x°(x- 3) is increasing and/or…

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Q: QUESTION 6 Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative maximum value.…

A: The solution of the problem is given in the next step.

Q: Question 2 Consider the following function f (x) = |2 – x| - |x – 4| On which of the intervals is…

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Q: Question 5 The following function is homogenous of degree what? Vx?y²+x²+y² f(x,y) = х, у ху 1 3 4…

A: We have to find the degree of function.

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Find the absolute extrema of the function on the closed interval.                   h(x) = x − 3√x,…

A: The given function on the closed interval [0,9] is

Q: Question 1) Find the absolute maximum and minimum of the function f f (x, y) = yx² where - 2<x< 2 -…

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Q: Find the absolute extrema of the function on the interval [2, 3]. (Round your answers to the nearest…

A: The function is given by

Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

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Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: Question 7 of 9, Step 1 of 1 Correct Find (f• g)(4) for the following functions. f(x) = 3x + 3 and…

A: We have to find

Q: Question 22 Given the function f(x) = (x² – 4)(x² + 4), the number of horizontal tangents of f is…

A: Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Question 4. (a) Find the relative extrema of the functionf given by y x3 – 3x2 – 9x - 1 (1) Sketch…

A: a.(i) Calculate a table of points for the function y=x3-3x2-9x-1. x y 1 -12 2 -23 3 -28 4…

Q: Question 4 Consider the function f(x) = -5x – 11x + x? +2x 3 2 smallest number n such that f(n) (x)…

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Q: Question 7 Find all numbers at which f(x) is discontinuous. f(x)-(3x2+4)/x-2

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Q: Question 8 The following function is homogenous of degree what? f(x, y) = Vx²y² + y +x 1 other/not…

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Q: Question 4 Compute, step-by-step, the first and second derivatives and the maximum value of each…

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Q: Find the locations and values of all relative extrema for the functions with graphs as follows.

A: Given:

Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4…

A: For the detailed solution of the problem follow the next step.

Q: Question 1 Consider the following function: y = f(x) = x*/3 – 5x²/2 – 14.x + 25 (a) Find the regions…

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Q: D Question 12 or the function f(x) whose derivative is graphed above, mark all true statements…

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Q: Question 4: If you are given f(x) as follows: 1 if x -2 2 Show that f(x) is continuous at x = -2 ?

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Q: Question.4 (a) Use a graphing utility to estimate the absolute maximum and minimum values off, if…

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Q: Question 4: If you are given f(x) as follows: if x -2 2 Show that f(x) is continuous at x = -2 ?

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Q: Question 18 For the function f(x), find any Relative Extrema, if possible. f(x) = x³ + 3x² - 9x – 13…

A: The given function is fx=x3+3x2-9x-13. Obtain the first derivative of the given function as follows.…

Q: QUESTION 1 a) Find the interval(s) on which the curve f(x) = x°(x – 3) is increasing and/or…

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Q: Question 11 If f'(x) = x - 2x*+ x +2, then fhas inflection points at 3 x-0.6 X=2 x=0 X-0.5 X-1

A: Inflection point is point where concavity changes.  Here double derivatives of f(x) change from…

Q: Question 11. 4x – 3 Given that f(x) = find f'(x) as a function of z. 7x – 2 Enter the answer as a…

A: ddx(u(x)v(x)) = [v(x)× ddx(u(x))] - [u(x)×ddx(v(x))](v(x))2

Q: QUESTION 8 The function fix)--4 x-12 x+L, is increasing on the interval OA (-0,-2)U (0,2) OB. (-1,0)…

A: The derivative of a function may be used to determine whether the function is increasing on any…

Q: Question 25 Use the slopes of tangents to determine whether the function f(x) = -6x² + 36x is…

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Q: Question 9- Determine the value of the constant k that makes the function in the following…

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: QUESTION 6 Given the function f(x)=4x- 39x2+ 90x + 2. which of the following describes its absolute…

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Q: Question 14 If f(x)=x²-2x- 3, then on which of the following intervals is f increasing? dx

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Q: Question 2 If a function f is continuous at 0, show that g(x) = f(x) is differentiable at 0 and find…

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Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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Q: Question 3 differentiable. Mathematically show why it is not. For each of the following, find all…

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Q: Question 25 The graph of f(xr) = x(In x) has a point of inflection at e (B e2 A,

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Q: Question 4. Given f(x) = x²/6 – x² on the interval [-V6, v6), find the intervals where f is…

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Q: Question 29 y = 0 is in the range of the function fS(x) = (x + 1)² + 1. Question 27 The function…

A: This is a multi part questionIn our guidelines, we need to solve any three of the following…

Q: Question 5 Find the critical numbers of the function, g(t) = tv4 – t where t < 3.

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Q: Question 10 What is true about the function ) - A))→0 from above B) Ax) →∞ OC)) →0 from below D) x)…

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Q: Question 2 Given the function f(x) = 3x4 + 16x³ + 24x² + 10, determine critical number(s). the…

A: Given: The function is fx=3x4+16x3+24x2+10 To determine a) Critical numbers b) The interval of…

Q: Question 14 For the function f(x), find any Relative Extrema, if passible. f(x) = x2 +1 Relative…

A: Given: The function, fx=-8xx2+1.

Q: Question 10 Given the function f(x)=4x3-39x2 + 90x + 2. which of the following describes its…

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Q: Question 10 Find all the points of local maxima and local minima of the function f (x) = (x – 1)³ (x…

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