(3) use the Convolution theorom to obtain a Formula For the solution to the initia Value problem, where g(+) is Function on 9 piecewise Continious [o] and of exponential order y" = 2y + y = g(+), y(0) ==

Q: if g'(x) = x(x-5)(x+1)4 , then g has a local maziumum at

A: Given that g'(x)=x(x-5)(x+1)4

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

A:

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

A:

Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…

A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…

Q: 1. Find the third order derivative f"(2) of f(x) = x³. Of" (2) = 1 Of" (2) = 0 Of" (2) = 12 Of"" (2)…

A:

Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

A:

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: