Quaeme

The Moon, which revolves around Earth with a period of about 27.3 d in a nearly circular orbit has a centripetal acceleration of 2.7x10^-3 m/s^2. What is the average distance from Earth to the moon. (Would appreciate a response without the use of radians)...

If y = f(√x^2 + √9) and f′(5) = −2, find dy/dx when x = 4. (The square root goes through the bracket). Answer -8/5

The total surface area of a right circular cylinder of radius r and height h is A = 2πrh + 2πr^2. Find dh/dr if A has a fixed value. Answer (−2πr^2−A)/2πr^2

∫3,−2 f(x)dx = −4 and ∫4,3 f(x)dx = 3. Find ∫3,−2 (−4f(x)+3) dx = ______

I am new to integrals but i assumed that since f(x)dx is -4 and the integral is the same value you can just plug in -4 for f(x) and solve but it was incorrect