Given f(x)=x²-1 on [-2,2]. a. Find the critical numbers of f on the given interval. b. Determine the absolute extreme values of f on the given interval.

Q: F:[- 2, 2]– R, F(x) = Ll((– 3)(* + 1) dt

A: Given, Fx=∫-2x2t-3t2+1dt Firstly, find the value of Fx. Fx=∫-2x2t-3t2+1dt      =∫-2x2t3-3t2+t-3dt…

Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: List the critical numbers of the following function separating the values by commas. f(x) = 5x² + 3x

A: We can find the critical numbers as below.

Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: 4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first…

A: As many questions are given and its various subparts, I will solve only the first. Zeroth divided…

Q: Let f(x) = x³ (x + 2)² (x − 3)(x + 4)². Decide whether f(x) is positive on each of the following…

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Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: 5. Which function has both domain and range of all real numbers? a. y = x2-5 b. y = (x + 2)3 c. y =…

A: To find  the function having domain =R and range =R.

Q: Which of the following functions is continuous on -5,4)? For those who have trouble viewing the…

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Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: Let the function f:[0,1]->R be defined by 4x f(x) 4x + 2 Then, what is the value of 39 f ƒ ( ²1 ) +…

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