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Question 2 1 pts The expression w is the slope of' [SP-led] v ' . . L . [Select] v' The expressuon f($)_a) IS the slope of' . As :1: gets closer to a , the slope of the secant line approaches the slope of the' [salad] V' off(:1:) ata. The rate of change of f (:12) at a is given by the slope of ' [Select] V'- The rate of change of f (:13) at a: is called the ' [Select] V' and is denoted by ' [Select] V'- Question 5 1 pts Read Example 2.2 in the textbook :2. An object moves along a coordinate axis so that its position at time t is given by s (t) = 5 Int. Find its average velocity over the time interval [1.5,1.7] . Round your answer to 4 decimal places. (You may use a calculator.) Question 6 1 pts Continuing from previous question. Use your answer to the previous question to estimate the instantaneous velocity of s (t) = 5lnt at t = 1.5. Note: There is more than one correct answer to this question. Any reasonable estimate will be marked correct. Hints: Would the instantaneous velocity at t = 1.5 be larger or smaller than the average velocity on [1.5, 1.7]? You may want to sketch a rough graph! Question 2 1 pts M [ Select ] 31:]. The expression is the slope of The expression f is the slope of (JO-u} the tangent line of f(x) at a the secant line of flx) through the points (a, flan and (x,f(x)) As :1: gets closer to a , the slope of the s neither a secant nor a tangent line the [Select ] v of The expression f is the slope of (wlfla) As :1: gets closer to a , the slope of the s the' [Select] V' OfJ The rate of change of f (3:) at a. is given ' [Select] [ Select ] the secant line of flx) through the points (a, f(a)] and (x,f(x)) neither a secant nor a tangent line the tangent line of f(x) at a Question 3 1 pts Which of the following statements are TRUE? Select all that apply. O If a > 0 then In a = In(3 ) In 8 If ac > 0 then In (4ac) > In ac Off x > 0 then In(3x + 1) = 3 (Inac) +1 O If a > 0 then In ( ) = Ina - In 3 If a > 0 then In (2 ) = 2 If a > 0 then (In a) = 4InaQuestion 4 1 pts Which of the following statements are TRUE? Select all that apply. O The function f (a) = eat is always increasing, for any real number a. For all b it is true that 9 . 62 - (3b)2. O If M > 0 then -16 M2 = ( M ) ? If x, y > 0 then 23y = 6xty. For all ac it is true that (4" )2 _ 427 - 16. If a, b > 0 then 2 =Question 5 1 pts Lisa has a headache and takes some acetaminophen {perhaps Tylenol) at time t = 0. The amount A (in mg) left in Lisa's body at time t {in hours} can be modeled by: A (t) : 5008\"\"0'8 a} What was the amount of acetaminophen Lisa took at time t : 0? [ Select] v b) How many mg is left in Lisa's body after 4 hours? Use a calculator and round to 1 decimal place if needed. [59'9\"] V c) At what time is only 100 mg left in Lisa's body? Use a calculator and round to 1 decimal place if needed. (Answer in hours. Do NOT convert to minutes.) l SEIECt] V As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physicslike the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area problem, or how to determine the area under a curve. Question 3 1 pts Are the following statements true or false? a} Suppose s (t) is the position of an object moving along a coordinate axis at time t . Then the average velocity of the object over the time interval [0,, t] where a