d) If k(x)=< ax² - 2x x+b x≤3 x>3 find the values of a and b such that k(x) is differentiable at x = 3.

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

A:

Q: Is there a real function f(x) that is differentiable only at a point x?

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x&gt;4given  f(x) is differentiable at all point

Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

A:

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Find x-intercepts of the function: x2 – 9 f (x) = Зх + 1 Select one: O a.x = 3 O b.x= -3, x= 3 C. X=…

A:

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: Analyze the continuity of the following function f(x) = 4x + 10      0 ≤ x ≤ 15 at the point x=8

A: The answer is given below:

Q: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

A:

Q: Show that the function f(x)=√x+1 is differentiable in 2 = 2 but not differentiable in x = −1.

A: Given data:- The given function is, fx=x+1

Q: Let f(x) = 8x3 - x4 + 4. 1. Find the interval of concavity.

A: Find the second derivative of f(x) and equate it to zero f(x)=8x3-x4+4 f'(x)=24x2-4x3…

Q: Let a and b be real numbers. Consider the function y = f(x) = 1x² ax+b For which values of a and b,…

A:

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

A:

Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

A:

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

A:

Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

A: