1. Suppose f is a continuous function defined on the interval [0, 10]. If So f (x) dx = 5 + 3v2, and (g f (x) da = 2 + 5V2, use properties of the definite integral to determine the value of fat f (x) da. (5 points) 2. Use differentiation - not integration! - to determine which of the following functions is an antideriva- tive of f (x) = -. Although this question is multiple-choice, you must show your work. Choose all that apply. (5 points) (a) F (x) = 2x-1 + 10 (b) F (a) = 3 In (2x) (c) F(x) = 21n 5x d) F(x) = 21nx -5 (e) F (x) = In 2x + In 53. Find the slope of the tangent line at the point (-1, -1), assuming the equation of the curve is act + y4 - 23 - y2 = 2. (7 points) 4. (5 points) Evaluate S, h (x) dx, where h (2 ) = - 2x2, for x 1.5. (5 points) Find f: f (:13) dzc, for f as shown in the graph. 6. Use substitution to evaluate / aim in two different ways. 2:c x/4x2 + 1 (a) Let u = 4$3 + 1. (4 points) (b) Let 'u, = V4332 + 1. (4 points) 7. The rate of downloads of a new app, in thousands, is D (t) = t et + 1, for t in [0,10], where t is the number of days after the app's launch. How many downloads occur on the fth day (from t = 4 to t = 5)? Round the number of downloads to the nearest whole number. Although a decimal approximatiOn is used at the end, you must show all the calculus work to receive credit. (7 points) 8. CarGo, an auto parts supplier, determines that its daily revenue R (:3), in dollars, from the sale of a: windshield wiper blade replacement kits is R (:8) = 1511:3/4. (a) What is Ca'rGo's daily revenue from these sales when 16 kits are sold? (2 points) (b) What is the CarGo's marginal revenue from the kit sales when 16 kits are sold? (3 points) (c) Use the answers from parts (a) and (b) to estimate R (17). (3 points)