1. (0405 MC) Let g be differentiable with 9(4) : 2.9131) 2 ,3. and a tangent line approximation of $4.024) = 2.65. It the graph otg is concave down at)! = ,1. what does that mean about the approximation for 9(4 .024)? (10 points) 0 The value of 2.65 is an overestimate because the tangent line falls below g. 0 The value of 2.65 is an underestimate because the tangent line falls below g. G] The value of 2.65 is an overestimate because the tangent line falls above 9. O The value of 2.65 is an underestimate because the tangent line falls above 9. 2. {04.01 MC) Ajet ski is cruising at a constant velocity in open water. Lett) represent the jet Ski's position relative to the shore. Which represents the rate at which thejet Ski's poSitioh is changing relative to the shore at 8 minutes? (10 points) 0 1(5) 0 A! =o s AIv A! O O \"m 116+ At) jiai : D O \"m ire1w): a Ala Ar 3. (04.01 MC) An elevator's velocity function during its 20-second trip from the ground floor to the top floor can be represented by the graph 30 12 14 18 30 Describe the motion of the elevator at t = 17 seconds. (10 points) O The elevator is slowing down. O The elevator has zero acceleration. The elevator has negative acceleration. O The elevator has constant acceleration.4. (04.05 MC) Use the table of values to find the linearization of h(0.6) based on the tangent line to h at x = 1. (10 points) X 0 0.6 h -3 2 -2 h' -2 1.24 7 10.8 O -4.8 O -1.5 -2.5 5. (04.03 MC) A 16-foot ladder is resting against a wall when the bottom of the ladder begins to slip from the wall at a rate of 0.75 ft/s. Find the rate at which the top of the ladder is sliding down the wall when the bottom of the ladder is 8 ft away from the wall O -0.75 ft/s O -1.155 ft/s -0.433 ft/s -1.3 ft/s6. (04.02 MC) 3725 The number of people P that are contracting a new disease can be modeled by the population virus P(t) = - 1+ 1.72p-0.52f . Where i is measured in days. At approximately what rate is the disease spreading on day 4? 342 people per day 542 people per day O 378 people per day 282 people per day 7. (04.06 MC) Find im" -1 (10 points) x-+0 6x O Cannot be determined O O ZIn7 1In78. (04.03 MC) A kite at a constant 25 meters above the ground begins to move horizontally further away from the person flying the kite. If / represents the length of the kite string and @ represents the angle between the string and the ground, which of the following relates the rate at which the string lengthens with the rate at which the angle decreases, with respect to time? (10 points) O sing _ 25 di it O de -25 di dt 12 cose dt O sine do _ 25 dl dt I dt O de -25 cos 0 di dt 129. (04.03 MC) An isosceles triangle has a varying base b and variable legs a such that the perimeter is a differentiable function of time. Which equation best describes the relationship between the rate of change, with respect to time t, of the perimeter P and the rate of change, with respect to time t, of the base and legs of the isosceles triangle? (10 points) dP da 2a~ db it dt dP -2- dt dP da db = 2- dt dt O dP da -+ b- db dt dt 10. (04.01 MC) Forty-five seconds after a bowl begins to leak, the bowl is losing 0.33 ounces of liquid per second. Let L(t) represent the amount of liquid that has leaked at any given time, and let t be measured in seconds. Which of the following expressions represents this scenario? (10 points) O L(45) = 0.33 O L'(0.33) = 45 O L'(45) = 0.33 L(0.33) = 45