Hi I need help with this 3 questions:

1.

In this question we will calculate the Taylor Polynomial for f(x) = Va + 1 about x = 8. The formula for the Taylor Polynomial of degree 3 for the function f (x ) about a = a is: T3(2) = f(a) + f' (a) + +"(a) 2! (2 - a) 2+ f""(a) 3! -(x - a) 3 In this case, that means we need to find f(8), f'(8), f"(8) and f"" (8). f(x) = Vac + 1, so f (8) = f' (ac ) = , so f' (8) = f" (ac) = , so f" (8) = , so f" (8) = Therefore the Taylor Polynomial for f(x) = va + 1 about x = 8 is: + (2 - 8)+ (a - 8)2+ (x - 8)3A street light is at the top of a 16 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45 feet from the base of the pole? The tip of the shadow is moving at E ft/sec. If a function f(:c) is continuous on [a, b] and differentiable on (a, b), then the Mean Value Theorem says that there is at least one number c in the interval (a, b) such that f' (c) = W. Find all possible value(s) for c given f(a:) = m3 3m + 4, 2 g a: g 2. Enter your answer(s) separated by commas. \\ ill