D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C) r(x) = x³ D) 8 (x) = 5x|x| %3D E) k(x) = 2x – 1 %3D

Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

A:

Q: Calculate M6 for f(x) = v2x over [2, 5].

A:

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: In the function:  f(x)= (4x^2)/((x^2)+4)  What are the critical numbers of the function?  Where is…

A: Given function

Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

A:

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

A:

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: Compute f'(x) a.) f(x) = (x2+1)e-x^2 b.) f(x) = (4e-x-

A:

Q: Let h(x) = f (X)g(x). If f (x) = In(3x² - - 4) and g(x) = 3x – 1, what is h' (x)? Select the correct…

A: Here, the given function is: h(x)=f(x)g(x)

Q: 1. (a) Calculate the domain and evaluate the critical points of the function f (x) = 6x/3 –15x3 %3D

A: 1. (a) The given function is fx=6x53-15x23.   The objective is to calculate the domain and evaluate…

Q: The function f(x)=2x^3−33x^2+108x-4 has two critical numbers. The smaller one is x =?    and the…

A:

Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…

A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: 9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

A: 9. The functions area given by fx = -x-3 and gx = x2+3x+4 To evaluate: The domain of the function zx…

Q: Find the critical numbers of the function f(x) =x^6/5-12x^1/2

A: In the given question find the critical point of the given function: f(x) = x^(6/5) - 12 x^(1/2)

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: Given: ƒ(x) = (4 + 3x)1/3

Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: #30) tind the critical mumbers of the function. f(x)=x² +6x² - 15.

A: Derivative the function and then equate to 0 find the values of x

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7. %3D

A:

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: Find the critical numbers of the function g(x) = (x2−16)1/2.

A:

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: on f(x) = +9x is %3D 2)

A: There are multiple questions, as per company policy kindly ask other questions separately.    Given

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 12 over the interval [1,3]. [2 marks] %3D -

A: Given: fx=x2-3x+12 over the interval 1,3

Q: Derivatives question: finds f’(x)

A: Given function can be written as

Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Find the critical numbers of the function.   f(x)  = 4 +1/3x  - 1/2x2

A:

Q: (b), f(x) = In (x² – 4)

A: Since you are asking only for b. Here is your answer.

Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

A:

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

A:

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A:

Q: 17. The purpose of this question is to make a well-labeled sketch of the function 7x2 + 21x + 27…

A: The given function is f(x)=7x2+21x+27x2+3x-54 Differentiate with respect to x,

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: 4 If f'(x) = x³ x'-2x +x+2, then f has inflection points at 3. n X=0 X= -0.5 X-1 x-0.6 X-2

A: Point of inflection  Those points where cancavity changes called inflection points

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the quotient rule, product rule, and chain rule of differentiation to check the claim of the…

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: 1 Evaluate f x(x + 4)3dx OA) 3/7 (x+4)^(4/3) (x-3)+C

A: using substitution method to solve.

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

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Q: Find the critical numbers of the functions below: f(x) = x^4/5 (x − 4)^2

A: