Let y = sinm}. If in: = 0.2 at x = [1, use linear approximation to estimate Ag Find the percentage error \fA police car is located TD 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 180 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 A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per hour and the sides of the square are decreasing at a rate of 4 meters per hour. 1When the radius is 1 meters, and the sides are 1'} meters. then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclqsed between the circle and the square is :1 square meters per hour. An inverted pyramid is being filled with water at a constant rate of 7'5 cubic centimeters per second. The pyramid. at the top. has the shape of 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. :5! till Let A be the area of a circle with radius ii". If d: = 3. find when ii" = 3. :1 45in: Let HI} = sinx + 4:305:- Then HI] = The equat1'on of the tangent line to y 2 x) at a = E can be written in the form 3; = m; + b where Use the quotient rule to find the derivative of 5er + 10 710 - 1025 Use e^x for e". You do not need to expand out your answer. Be careful with parentheses!\fIf f(c) = cosx - 3 tan x, then f'(x) = f'(1) =