classroom.google.com FO C 88 W Start P ... M/ Person.. MCV4Uc TEST - EXPONENTIAL & SINUSOIDAL FUNCTIONS Name: / 17 ] [T 15] [A /18 ] / 10] 1. Determine the derivative of each function. (DO NOT SIMPLIFY) a) f(x) = x35x b ) g (x ) - fx c ) y = 2-x2 d) f(x) = sinx cos2x [ K 11] 2. Determine the derivative of the function f (x) - 2e* cos3 x. Leave answers in simplified factored form. [K 4]classroom.google.com Start P... M/ Person... T.pdf Open with Google Docs 5. A certain computer that is purchased today depreciates in value according to the function (t) = 900e 3 , where V is measured in dollars and t is time in years. Round off your answers to two decimal places. a) What was the purchase price of the computer? [A8] b) What is its value after 1 year? c) How long will it take for the computer's value to drop to half of its original value? d) At what rate will the computer's value be depreciating at this time? Page 3 +classroom.google.com W Start P... M/ Person.. T.pdf Open with Google Docs 3. Determine the exact value of the slope of the tangent line to f (x) = 2cosx at the point where x =" [K 2] 4 . Show that Zy " - y' - y = 0 when y = ex te z . [T 5] Page 4 1 +classroom.google.com Start P... M/ Person... LT Life Ti. atives TEST.pdf Open with Google Docs 6. Determine the equation of the tangent to y = xe* + e* + 1 at x = 1. [A4] 7. The vertical displacement of a SUV's body after running over a bump is modeled by the function h(t) = e-0.5t sint , where h is the vertical displacement in metres, and t is time in seconds. 4 Round off your answers to one decimal place. Determine the maximum displacement of the SUV's body during the first 5 seconds. Check interval endpoints. [A6] Page 4 +