(b) Use the information from (a) to estimate the instantaneous rate of change of the population of the fish at t = 5. [Solution] 6. The position of an object is given by s (t) = cos2 3t - 6 2 answer each of the following questions. computations. (a) Compute (accurate to at least 8 decimal places) the average velocity of the object between t = 2 and the following values of t. Make sure your calculator is set to radians for the (i) 2.5 (ii) 2.1 (iii) 2.01 (iv) 2.001 (v) 2.0001 (vi) 1.5 (vii) 1.9 (viii) 1.99 (ix) 1.999 (x) 1.9999 (b) Use the information from (a) to estimate the instantaneous velocity of the object at t = 2 and determine if the object is moving to the right (i.e. the instantaneous velocity is positive), moving to the left (i.e. the instantaneous velocity is negative), or not moving (i.e. the instantaneous velocity is zero) [Solution] 7. The position of an object is given by s (t) = (8 - t) (t + 6) 2 . Note that a negative position here simply means that the position is to the left of the "zero position" and is perfectly acceptable. Answer each of the following questions. (a) Compute (accurate to at least 8 decimal places) the average velocity of the object between t = 10 and the following values of t. (i) 10.5 (ii) 10.1 (iii) 10.01 (iv) 10.001 (v) 10.0001 (vi) 9.5 (vii) 9.9 (vili) 9.99 (ix) 9.999 (x) 9.9999 (b) Use the information from (a) to estimate the instantaneous velocity of the object at t = 10 and determine if the object is moving to the right (i.e. the instantaneous velocity is positive), moving to the left (i.e. the instantaneous velocity is negative), or not moving (i.e. the instantaneous velocity is zero) [Solution] [Contact Me] [My Students] [Privacy Statement] [Site Help & FAQ] [Terms of Use] Page Last Modified : 6/4/2018 2003 - 2021 Paul Dawkins 21 SEP as tv 4 W O 7 MacBook Pro G Search or type URL + esc C % & delete # $ 8 O 4 5 6