The functions f, (x) = 3x2 – 1 and f2(x) = 5x³ – 3x are orthogonal on the interval [-1,1] True/False %3D

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

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Q: Find the critical numbers of the function.    g(x)=x^4-2x^2+3

A: The given function is g(x)=x4-2x2+3.

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: Find the critical points of the function f(x)=2x^2−4x.

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Q: The function f(x) 2x 36x + 162I - 7 has two critical numbers. The smaller one is x = and the larger…

A: The critical number of a function f is a number c such that either f'(c) =0 or f'(c) doesn't exist.

Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: If f (x) = x* and g(x) = x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule %3| multiplies…

A: It is given fx=x4, gx=x3, f'(x)=4x3 and g'(x)=3x2.

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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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: Find the critical numbers of the function. f(x) = 3x + 4x3- 12x2 %3!

A: Given function is f(x)=3x4+4x3-12x2. The critical number of a function f is a number c in the domain…

Q: g(x) = V4– x²

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: Find the zero(s) of f. Ay -1 2 x f(x) = -2x2 + 3x %3D 2.

A: The function is given by  To evaluate : The zeros of the function fx

Q: Find all critical points of the function f(x) = x² – 4x + 6 = x

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Q: Find the critical numbers of the function

A: We first find the first derivative using the power rule

Q: The function f (x) = 2x°- 36x2 + 192x- 5 has two critical numbers. The smaller one is x = and the…

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Q: Find the critical numbers of the function.   f(x)  = 2x3 - 3x2 -36x

A: Critical numbers are the numbers for which f'(x) = 0

Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: Find the linearization L(x) of the function at a. f(x) = x4 + 6x2, a = −1

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Q: Consider the function f(x) = -6x2 + 4x - 4.  Find the critical point, A of the function. At x = A,…

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Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: Find the critical numbers of the function.…

A: Critical numbers : f(x)=4x2-6x The derivative of the function is f'(x)

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

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Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the x-coordinates of all local minima and…

A: Given:f(x)= (3x^2)ln(x) , x>0

Q: Find the maximum value of x if f(x)=5 sin x – Using Quadratic Interpolation with a relative error of…

A: Given: If f(x)=5sin x-x610, find the largest value of x. Using Quadratic Interpolation with a 1%…

Q: The function f(x) =x -x² – 2x – 1 is increasing over: %3D

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

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

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Q: Find the linearzation L(x) of f(x)= \sqrt(5x+16) at a=0

A: Given Fx=5x+16 at a=0The objective is to find the linearzatin Lx ofFx=5x+16 at a=0find the…

Q: f(x) = 2x, g(x) = 3x², h(x) = 5x – 8x²

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Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: The function f(x) = 2x³ – 27x² + 48x 1 has two critical numbers. - The smaller one is x = and the…

A: We have to find the critical points for the function f(x)=2x3-27x2+48x-1.

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Find the critical numbers of the function. f(x) = x³ + 3x² – 24x

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Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: Find all critical numbers of the function g(x) = x^4 - 10x^2

A: Using definition of critical numbers.

Q: The function f(x) = 2x 33x + 168r - 1 has two critical numbers. - The smaller one is x = and the…

A: In this question we are given with function x and we have to find the critical points of the…

Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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Q: The function f(x) = 2x³ – 27x2 + 48x – 3 has two critical numbers. - The smaller one is x = and the…

A: We have to find critical numbers for the function: fx=2x3-27x2+48x-3 We know that critical points of…

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: Find the critical numbers of the function. b. g(x) = V1- x² %3!

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Q: Let f(x) = x³ + 3x² - 24x + 1 and g(x) = x³ + 6x² − 36x + 1. Fo have critical points?

A: Given,            f(x)=x3+3x2-24x+1    and     g(x)=x3+6x2-36x+1

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

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

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Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will…

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.