(1 point) Find a and b so that the function S 5x3 ах + b, - 2x2 + 8, f(x) = { x < -2, x > -2 is both continuous and differentiable.

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) &gt; 0. For…

Q: Find the absolute maximum and absolute minimum values of the function f(x)=x^3-6x^2-63x+10 A. on…

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Q: Consider the function f (x) = -7x² – 14x – 6 on the interval [-3, 2]. Find the absolute extrema for…

A: Given: f(x)=-7x^2-14x-6 Interval: [-3,2]

Q: g(x) = at x = 2 %3D x+2

A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: ation. -5 -5

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Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: Find the absolute maximum coordinate and absolute minimum coordinate of the function below on the…

A: Given information:The given piecewise function is show below:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: |(2) = { = 1 points are the functions continuous? 3x-5 , ifx 1 .ifx 1 1. 2 2. h(x)

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Q: Find the point on the curve q(x)=x2+6 that is closest to the point (−18,6). Enter your answer as an…

A: Given

Q: Find the absolute extrema of the function on the closed interval. — х3 — 2x2, [-5, 4] -클러 f(x)…

A: An absolute maximum point is a point where the function obtains its greatest possible value.…

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: Rightmost xvalue where f(x) =3

A: Question : Right most x value where f(x)=3

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: Find maximum and minimum point

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: Suppose that a function f(x, y) attains an absolute minimum at the point (2, -3), and an absolute…

A: Given that f(x,y)  attains absolute min at (2,-3) f(x,y)  attains absolute max at (-3,2) The new…

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Find the absolute extrema of the function on the interval [0, 0). (If an answer does not exist,…

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Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: Use second derivative test, If f(x): 3 - 25x + 9 then f(x) has a local maximum at the point = 6 -5…

A: The given function is f(x)=x33-25x+9 Differentiate with respect to x,

Q: Sketch the graph of the floor function f(x) = x+ 1| over the interval [-3, 3) %3D Show your work

A:

Q: A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it…

A: Given that: Total area =1500000 sq. ft.The field is to be rectangular.and then divide the field with…

Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: Find the absolute maximum and minimum values of the function on the closed interval. (Justify the…

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Q: Find the absolute maximum value and absolute minimum value of the function f(x) = x3 on the interval…

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Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b)…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: The point (2,f(2)) is an inflection point .1 for the function f when f(2) = 0 %3D

A: Given statement,            The point (2, f(2)) is an inflection point for the function f when…

Q: Find the maximum and minimum values of the function y = V8 + x2 - 4x on the interval 3, 5|. (Use…

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Q: (1 point) Find a and b so that the function 6x - 8x? + 5, a -2 is both continuous and…

A: This question we have to make function continuous and differentiable

Q: · Explain why the function f(x) interval [-2, 2]. Find the absolute maximum and minimum values. =…

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Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

A:

Q: Find the absolute maximum and minimum values of function f(x)=x2+6x−5 on interval [-5,2]. If an…

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Q: How do I find th end behavior of f(x)=-(x+1)^(2)+4

A: f(x) = -(x+1)2+4 =-x2-2x-1+4=-x2-2x+3

Q: Find the exact location of all the local and absolute extrema for the function, Ax) = x - 6x- 10…

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Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: Number of points where f(-|x|) is non-differentiable in its domain is (1) O (2) 1 (3) 2 (4) 3

A: Given : Number of points where f(-|x|) is non-differentiable in its domain is

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…