for x < 0 f(x) = for the interval[-1,1]. |x² for x > 0

Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

A:

Q: Find f(x) if f°(x)=cos x with f(0) =1, f'(0) = 2 , and f'(-)=3.

A: Keep on integrating we are end up with an answer. For those constants we need these initial…

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

A:

Q: The function f(x) = x* - 18z is increasing on the intervals

A:

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

Q: Find the intervals on which f(x) = x4 is increasing  and the intervals on which it is decreasing.

A: Given function:

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

A:

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

A:

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: Determine the absolute extrema of the function f(x) = (x-3)ex on the interval -1≤ x ≤ 3.

A:

Q: For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

A:

Q: For what values of a and b is -2, f(x) = { ax – b, -1 <x< 1 3, continuous at every x?

A: Given: fx=-2,    x≤-1ax-b,    -1&lt;x&lt;13,   x≥1

Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: If f(x) < 0 for all real numbers x then f is decreasing on (-o, 00).

A: Proceed as shown below

Q: For what value of the constant c is the function f continuous on (-∞, 0)? cx2 + 8x x3 - cx if x < 5…

A:

Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: At what interval is y=3x5-5x3 decreasing O x>1 O -1<x<0 O -1<x< OU 0<x<I O -1<1<l

A: We have to find interval where it is decreasing

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: Find the absolute maximum and minimum of the function  f(x)=xe-x on  the interval [-1,1]

A:

Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: Definition of the function in the different intervals helps to integrate the given function.…

Q: Find the absolute extrema of the function on the closed interval.

A:

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: For f(x)=√(x^2+2) find all the values of c on the interval [0, 1] that satisfy the Mean Value…

A: Given query is to apply mean value of theorem and find value of c

Q: Find for the following function: 1- y = etan'x 2-x'y+ x*y 2 at x = 2

A:

Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: а.…

A:

Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: Find the absolute extrema of f(x) on the interval [5,8] f(x)=x/(x-1)

A: The given function f(x) = x/(x-1) is continuous on the interval [5, 8].   Find the critical point…

Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

A:

Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: Find the absolute extrema of f(x) = −x^(2) + 3x on the interval [0,3] .

A:

Q: 4x-8 i- -2 x +3a

A:

Q: The interval on which f(x) = VI-x is decreasing where x€ [-1.1] is

A: Given function f(x)=1−x2   on  [−1,1]

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Find the absolute extrema of the function on the closed interval.                    f(x) = x2 + 5x,…

A: Absolute extrema of the function on the closed interval occurs at a point where its first derivative…

Q: Find the absolute extrema of f (x) = x-12x on the closed interval [0, 4].

A: The given function is, fx=x3-12x The interval is 0, 4

Q: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

A:

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

A:

Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 - 12x, [0,6]

A:

Q: Find all the x-intercepts of f(x)=cos(x) on the interval [0,2π)

A:

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

A:

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

A:

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…