An inverted pyramid is being filled with water at a constant rate at 7'5 cubic centimeters per second. The pyramid. at the top. has the shape at a square with sides of length If cm; and the height is 14 cm. Find the rate at which the water level is rising when the water level is 2 cm. Let F(x) = f(f(x)) and G(x) = (F(x)). You also know that f(8) = 9, f(9) = 3, f'(9) = 15, f'(8) = 12 Find F'(8) = and G'(8)Let F(x) = f(x ) and G(x) = (f(x)). You also know that a" = 6, f(a) = 2, f'(a) = 6, f' (at) = 5 Then F(a) = and G'(a) =4 sin r Let f (@) = 6 sin x + 4 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a = can be written in the form y = ma + b where m = and bIf f(x) = (3x + 8) , find f'(x). Find f'(4).\fUse the quotient rule to find the derivative of 5ex + 10 -7x10 - 1025 Use e^x for e". You do not need to expand out your answer. Be careful with parentheses!Let y = sin(5x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Find the percentage error error\fA police car is located 70 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 95 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road] of the red car is feet per second