15 10 8 10 Evaluate f(0) (a) Estimate f(4) (b) 00 2.

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Determine the values of x for which f(x) is discontinuous.

A: For x<=3, f(x)=3x-12 is continuous

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Recall that to determine if f is differentiable at x =c you must do the following: • Verify that f…

A: We have to check the differentiability at x=-3  We have given a function

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

A:

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: 7+6z – zº x 4 тх + b,

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

Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches…

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows