t² – 1, ift <1 Determine whether h (t)is continuous at t = 2 where h (t) = { 2 – t, if12 Vt +2,

Q: If sino + sin'0 +sin' 0 = 1, then prove that cos 0-4 cos* 0+8cos 0 = 4.

A: sin2 x + cos2 x = 1.

Q: 7x²-21² x2 -. Define f(0, 0) in order to extend f(x, y) to a function which is continuous at the…

A:

Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: Determine if the function f(x)= is continuous -- sin(x) x on the interval I= (0,1).

A:

Q: Examine if f(x) = x3sin(1/x) is uniform continuous on the interval (0,2]

A:

Q: If f(x) is continuous on (-15,-5)such that, -10 SI5 f(x)dx=13 and/" f(x)dx =6 then find f(x)dx -10…

A:

Q: Use the First Fundamental Theorem of Calculus part one to find F'(x). F(x)=|, (t² +3t +2)dt J-3

A:

Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

A:

Q: x+2a, if x<1 What value for a would makef (x)continuous everywhere? Let f(x)= (ax? +7x-4, if x21

A:

Q: Define. Show that h is continuous at x = 0 but h' (0) does not exist

A: Function is said to be continuous at a point x=a, when the function is defined at a and the limit of…

Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the…

A:

Q: Question 1 Suppose g is an integrable unary function and g(t) dt. Determine f.(r, y).

A:

Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

A:

Q: Let 7(t) = FindF (t) 구' (t) - <| Question Help: OVideo Submit Question

A:

Q: Two constant values a and b are both greater than zero, determine the maximum value of the function…

A:

Q: et f(x)=x2 ,on interval 0<x<2n , sketch and find an älo glaj

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

A:

Q: Vリ What is F'(;) 4 ? 16 π 4 π ミ|N

A:

Q: lim t→0 4t² + 3t sin t +2

A: To evaluate the following limit.

Q: (5) Prove that if f is continuously differentiable on [a, b], then |f(a) – f(b)| a – b max f'(x)|…

A: