DZL Thinkwell C " learn.thinkwell.com/twtest/exercise.cfm back 21 of 25 Complete the statement. O are found by using the rate equation Instantaneous rates of change Rate = Adistance/Atime, with Atime = 0 O are found by using Derivative's Theorem O are found by taking the limit of the average rate of change as At goes to 0 O cannot be calculated exactly (they can only be approximated using the average rate of change)back Given f (x) = 2x2 - x, what is the slope of the O m= 5 line tangent to f (x) at the point (3, 15)? O m=7 O m= 13 O m= 11back Suppose f(x) = -2/x. Find the equation of the line tangent to f(x) at (1, -2). O y = x+3 O y= x-3 O y= 2x -4 O y= 2x +5back Mary is competing in the 100-meter dash. O 6.7 Suppose that her position is described by the 4.1 position function p (t) , where t is the time in 6.2 seconds and p (t) is her position in meters. If she finishes the race (100 meters) in 15 O There is not enough information. seconds, and her instantaneous velocity at t = 1.5 seconds is 6.2 meters/second, what is the slope of the line tangent to the graph of p (t) at t = 1.5? back What is the derivitive of the function O f(z) = - 2 O - 3 x2 O -2 x2 O -2x219C learn.thinkwell.com/twtest/exe back The rate of production at ACME toys O 9.5 hours can be determined from the production O 8 hours formula P(t) = 1600t - 100t2, where P(t) O 1.5 hours is the number of units produced in a given time and t is the time in hours since the O .86 hours factory shift began. At what time does the rate of toy production equal 1300 units per hour?back O Suppose f(x) = x3. What is the instantaneous rate of change in f when x = 2? 4 O 6 O 12 24 O None of the above