The function f(x)=2x^3−24x^2+72x−2 has two critical numbers. The smaller one equals=     and The larger one equals=

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: Find the minimum and maximum values of f(x) = 2 on the interval [9, 10] by comparing values at the…

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Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

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Q: Find all critical points of the function f(x)=x√1−x2.

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Q: max value for y

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Q: Find the number x in the interval-;,1| so that the difference of the number from thrice'its cube is…

A: How to find point where the function f(x)  is minimum: find f'(x) and solve f'(x) = 0 for x. after…

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: As the denominator df goes down, the critical value of F goes ______ so that  ______ extreme value…

A: ANOVA(Analysis of variance ) is an extension of the t-distribution. When we cannot use t…

Q: Find all critical points of the function. f(x) = x lnx

A: A critical point is a point on the function curve at which the derivative equals zero or the…

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

Q: Classify the critical point (0,0) for for all - 0 <µ<0. 2 -

A: given system of matrix x'y'=022-μxy     for all -∞&lt;μ&lt;∞ claim- to classify the critical point…

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: Suppose that the FIRST DERIVATIVE of a function f is given by f' (x) = (x – 3)² (z² + 5x). Find the…

A: We find the critical numbers by solving f'(x)=0

Q: Find the minimum and maximum values of the function y = (4t2) 1/s critical points and endpoints. on…

A: Considering the function y = (t -4t2)1/5 in the interval [-1,3].

Q: 2 1. f(x) = x² + 8x + 12 2 2. f(x) = x² + 25x 150 3. f(x) = x² + 18x130

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in…

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Q: find all critical points of the function f (x) = x ln x

A: Given: First, take the derivative equals to zero. Therefore,

Q: Find the critical numbers for function f(x)=x-3 ln(x)

A: Given function:  fx=x-3lnx

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: If Newton's method is used to find the critical number of f(x) = x® – x³ +x² – 2x with initial…

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 5x² –…

A: The given function is z=f(x,y)=5x2-8x+6y+3y2 ..................................... (1) partial…

Q: |х — 1 x5

A: Use the method of substitution to evaluate the integral. I=∫x−1x5dx=∫x−1x52dxLet u=xdu=12xdxSo,…

Q: Find the positive critical point of the function f(x) =

A: For critical points set first derivative of function is equal to zero and solve for x . f ' ( x ) =…

Q: Find all FIRST and SECOND order critical POINTS for f(x) = (x² +x – 2)'/3

A: fx = x2+x-213f'x = 13x2+x-213-1 . ddxx2+x-2        = ddxx2+ddxx+ddx-23x2+x-223        =…

Q: The stock price for a certain corporation can be approximated for the years 2007 through 2015 by…

A: At the point of local minima or Maxima the derivative vanishes.

Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: y=2x5+5x2,  -2, 2 Differentiating with respect to x, we get dydx=25x4+52x=10x4+10x Now critical…

Q: Find all critical points of the function: f (x) = sec−1 x − ln x

A: Given function f(x) = sec−1 x − ln x

Q: Find the minimum and maximum values of f(x) = on the interval [6,7] by comparing values at the…

A: We will see that function retains its sign in the given interval and in decreasing function. hence…

Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

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Q: Find the critical points of f(x)= (x 2-3)ex

A: Calculation: For critical points put first derivative of f equals to zero.

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

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Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

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Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

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Q: find the critical points and and absolute extrema of the function y=9-x^2 on the interval [-3,1]

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Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

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Q: Choose the numbers that represents the critical values of the function f(X). x 2x3 f(x)= -12x² 3 ロ-7…

A: to find:- critical points.

Q: find all the critical values (if any) of y=x square-root (x-2)(1-x)

A: We have to find all the critical values of y=xx-21-x.

Q: Determine the critical numbers of the functions. 1 Ex5 +x +3 1 f(x) :

A: Given query is to find the critical points of the function.

Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

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Q: What are the real-life applications of antidifferentiation or integrat

A: What are the real-life applications of anti-differentiation or integration?

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: From a numerical perspective integration is better conditioned than differentiation.

A: As given, We have to state that whether the below statement is true or false. From a numerical…

Q: The profit function (in millions) for a beverage company for the years 2008 through 2016 can be…

A: Given profit function is f(x)=-26x2+728x-2643where x=8 is year 2008.