Answer "True" or "False" for the following: Suppose h(t) is a continuous, decreasing and non-negative function on [0, 0). Then, H(x) = | h(t)dt is a continuous, decreasing and non-negative function on [0, 0).

Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

A:

Q: 3. Find a value of b so that the function x 1 f(x) = is continuous on (-0, 0).

A: A function is said to be continuous if Left Hand limit = Right Hand limit = f(a) In this question,…

Q: 3) Consider the function defined piece-wise as follows: f(x) = 4x + 1 for x < 0 and f(x) = (4x - 1)2…

A: The function piecewise defined as follows: fx=4x+1for x&lt;0(4x-1)2for x≥0

Q: Consider the function 2x2 – x + 5c if x 3 For what value of c is the function continuous at 2?…

A: We will use left and right hand limit to solve this

Q: Find a point c satisfying the conclusion of the MVT for the following function and interval: f(x) =…

A: