C



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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 11-A |Calculus Warm-up # 11-B |

|USE YOUR TI-89 TODAY! Round to 3 decimal places |NO CALCULATORS TODAY! |

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|1) log4 64 = _______ |6) Find x if [pic] = x _______ |

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|2) log7 252 = _______ | |

| |7) Find x if [pic] _______ |

|3) Find x if log3 x = 5. _______ | |

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|4) Find x if log4 (2x – 1) = 7 _______ |8) Find x if log3 x = 2 _______ |

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|5) Find x if 23x = e5. _______ | |

| |9) Find x if log4(2x-3) = 2 __________ |

| | |

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| |10) True or False: The slope of the curve |

| |y = ln x is always positive. _______ |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 11-C |Calculus Warm-up # 11-D |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|11) Find [pic] if [pic][pic] _______ |16) Find [pic] if [pic]ln (8x2) _______ |

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|12) Find [pic] if [pic] _______ |17) Find [pic] if [pic]sin(2x)[pic] _______ |

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|13) Find [pic] if [pic][pic][pic] _______ |18) Find [pic] if [pic]e sin(2x) [pic] _______ |

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|14) Find [pic] if [pic] |19) Find [pic] if [pic] _______ |

|________ | |

| |20) What is the domain of g-1(x) |

|15) Find the domain of f-1(x) if |if [pic]? _______ |

|f(x) = ln x + 2 _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 12-A |Calculus Warm-up # 12-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|1) Find [pic] if [pic] _______ |6) Find [pic] if [pic] _________ |

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|2) Find [pic] if [pic] _______ |7) Find [pic] if [pic] __________ |

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|3) Find [pic] if [pic] _______ |8) Find [pic] if [pic] |

| |_____________ |

|4) Find [pic] _______ | |

| |9) Find [pic] _______ |

|5) Write the equation of the tangent | |

|line to the curve y = 5x2- 2x at x = -1 |10) Write the equation of the tangent line |

|____________ |to the curve y = 3x5- x3 at x = -1 |

| |______________ |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 12-C |Calculus Warm-up # 12-D |

|Use your TI-89 TODAY! Round to 3 decimal places |NO CALCULATORS TODAY! |

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|11) Find [pic] _______ |16) Find [pic] if [pic] _______ |

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|12) Find [pic] _______ |17) Find [pic] if [pic] _______ |

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| |18) Find [pic] _______ |

|13) Find [pic] if [pic] _______ | |

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| |19) [pic] _______ |

|14) Find [pic] if [pic] _______ | |

| |20) [pic] _______ |

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|15) [pic] _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 13-A |Calculus Warm-up # 13-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|1) If[pic], find [pic] |6) Find [pic] if [pic] _____________ |

|__________ | |

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|2) For what value of x is the function |7) Find [pic] if [pic] _____________ |

|[pic] undefined? ___________ | |

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|3) If [pic], find [pic] ___________ |8) Find [pic] if[pic] _____________ |

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|4) If [pic], find [pic] ___________ |9) Find [pic] if [pic] ___________ |

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|5) If [pic], find [pic] ___________ |10) Find a possible formula for [pic] if |

| |[pic] _____________ |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 13-C |Calculus Warm-up # 13-D |

| |NO CALCULATORS TODAY! |

|Answer True or False based on the graph below. | |

| |16) Find [pic] if [pic] __________ |

| | |

| | |

| |17) Find [pic] if [pic] |

| |_______________ |

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| |18) Find [pic] if [pic] |

| |____________________ |

| |19) If [pic], find a possible formula |

|11) [pic]is continuous at x = g. ________ |for [pic]. _______ |

| | |

| |20) For what value of x does the curve [pic] |

|12) [pic] _______ | |

| |have a horizontal tangent line? _______ |

|13) [pic]is differentiable at x = d ________ | |

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|14) [pic]is differentiable at x = g ________ | |

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|15) [pic] _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 14-A |Calculus Warm-up # 14-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|1) If[pic], find [pic] __________ |6) Find [pic] if [pic] _____________ |

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| |7) Multiple Choice: [pic] _____ |

|2) Is [pic]undefined if [pic]? ________ |a) 1 b) 0 c) -1 d) dne |

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|3) Is [pic]undefined if [pic]? ________ |8) Multiple Choice: [pic] _____ |

| |a) 1 b) 0 c) [pic] d) dne |

|4) If [pic], find [pic] _____________ |9) [pic] ______ |

| | |

| |10) Find the slope of the tangent line to the circle |

| |[pic] at the point (3, 4) ______ |

|5) If [pic], find [pic] _______________ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 14-C |Calculus Warm-up # 14-D |

| |NO CALCULATORS TODAY! |

|Use the graphs to find the value of each. | |

| |16) Find the x-intercepts of the function |

| |[pic] __________ |

| | |

| |17) If [pic], does [pic]ever have a |

| |horizontal tangent? ______ |

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| |18) If [pic], find [pic] |

| |_____________ |

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|11) a ________ |19) Find [pic] if [pic] _____________ |

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| |20) Which function has a constant 2nd derivative? |

|12) b ______ |a) [pic] b) [pic] |

| |c) [pic] d) [pic] ______ |

|13) c ________ | |

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|14) d ________ | |

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|15) g _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 15-A |Calculus Warm-up # 15-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|1) [pic] ______ |6) [pic] _______ |

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|2) If [pic], find [pic] ____________ |7) If [pic], find [pic] _____________ |

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|3) [pic] _______ | |

| |8) [pic] ______ |

|4) cos([pic]) = ________ | |

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| |9) arcsin (-[pic]) ______ |

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|5) Find the slope of the curve [pic] where |10) If [pic], find [pic] _______________ |

|x = 5. _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 15-C |Calculus Warm-up # 15-D |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|11) [pic] _______ |16) [pic] _________ |

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| |17) If [pic], find [pic] __________ |

|12) If [pic], find [pic] | |

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|_____________ |18) [pic] Hint: Use geometry! |

| |_______ |

|13) [pic] ________________ | |

| |19) arctan(-1) _________ |

| | |

|14) [pic] _______ |20) True or False: If [pic] has a relative |

| |maximum at [pic], then [pic]. |

| |_______ |

|15) On what intervals is [pic] | |

|increasing? ______________ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 16-A |Calculus Warm-up # 16-B |

|Answer True or False based on the graph below. |NO CALCULATORS TODAY! |

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| |6) If [pic], find [pic] ___________ |

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| |7) True or False: [pic] _______ |

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| |8) If [pic], find [pic] ___________ |

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|1) [pic]has a relative maximum at [pic]. ________ | |

| |9) Solve for x: [pic] ______ |

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|2) [pic]has an absolute maximum at [pic].________ |10) If [pic] find [pic] |

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|3) If [pic] then [pic] ________ |_______________ |

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|4) [pic] ________ | |

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|5) [pic] does not exist. _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 16-C |Calculus Warm-up # 16-D |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|11) Draw a curve that is increasing and concave up. |16) If [pic], find [pic] |

| |_________ |

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|__________ |17) If [pic], find [pic] __________ |

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|12) [pic] _________________ | |

| |18) True or False: If [pic]exists and [pic] |

|13) [pic] ______________ |there must be a horizontal tangent at [pic] |

| | |

| |________ |

|14) If [pic]find [pic] ______________ | |

| |19) True or False: If [pic] then |

| |[pic] __________ |

| | |

|15) [pic] ______________ |20) True or False: The function [pic] is |

| |differentiable at x = 2. __________ |

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|Name___________________Score_____ |Name_____________________Score_____ |

| | |

|Calculus Warm-up # 17-A |Calculus Warm-up # 17-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

| | |

|1) If [pic], find[pic] ___________ |6) [pic] ___________ |

| | |

|2) If [pic], find [pic] ____________ |7) Find the domain of the function |

| |[pic] ____________ |

|3) If [pic], find [pic] ___________ |8) Find the vertical asymptote of the function |

| |[pic] __________ |

|4) [pic] __________ |9) [pic] ______ |

| | |

| |10) If the position of a particle at time [pic] is given by |

|5) If the position of a particle at time [pic] is given by |the function [pic], find the |

|the function [pic], find the |particle’s velocity at [pic]. _______ |

|particle’s acceleration at [pic]. _______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 17-C |Calculus Warm-up # 17-D |

|NO CALCULATORS TODAY! |CALCULATORS ALLOWED |

| |Get decimal answers and round to 3 decimal places |

|11) [pic] ________ | |

| |16) [pic] ________ |

|12) True or False:[pic] ________ | |

| |17) [pic] __________ |

|13) If [pic], find [pic] __________ | |

| |18) Solve for x: [pic] __________ |

| | |

|14) Evaluate: [pic] _________ |19) If [pic], find [pic] __________ |

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| |20) If the velocity of a particle at time [pic] is given by |

|15) If the velocity of a particle at time [pic] is given by |the function [pic], find the total distance |

|the function [pic], find the net |traveled from [pic] to [pic]. ___________ |

|change in position from [pic] to [pic]. | |

|_______ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 18-A |Calculus Warm-up # 18-B |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|1) If[pic], find [pic] ___________ |Given: [pic] |

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|2) [pic] ____________ |6) Find [pic] _______ |

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|3) If [pic], find [pic] ___________ |7) Find [pic] _______ |

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|4) [pic] __________ |8) Find the slope of the secant line that goes |

| |through the points you found in #6 and #7. |

|5) If the position of a particle at time [pic] is given by |________ |

|the function [pic], find the |9) For what value of c in the interval (1, 3) is the |

|time interval when the particle is moving to the |slope of the tangent line drawn at x = c equal to |

|left. _______ |the slope you found in #8 ? ________ |

| | |

| |10) [pic] ________ |

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|Name___________________Score_____ |Name_____________________Score_____ |

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|Calculus Warm-up # 18-C |Calculus Warm-up # 18-D |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

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|11) Is the graph of [pic] concave upward or |Given: [pic] and[pic] |

|concave downward? ________ |16) Find [pic] ________ |

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|12) If the Trapezoid Rule is used to approximate |17) Find [pic] __________ |

|the area under a portion of [pic], will it | |

|be an overestimate or underestimate?________ |18) Find [pic] __________ |

|13) Is the graph of [pic] concave up or concave | |

|down on the interval (0,8) ? ________ |19) If [pic], find [pic] __________ |

| | |

| |20) Write the equation of the tangent line to |

|14) If the Trapezoid Rule is used to approximate |[pic] at its point of inflection. |

|[pic], will it be an over- or an underestimate? | |

|________ |_______________ |

| | |

|15) If [pic], find [pic] ___________ | |

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|Name___________________Score_____ |Name_____________________Score_____ |

| | |

|Calculus Warm-up # 19-A |Calculus Warm-up # 19-B |

|Answer True or False based on the graph below. |NO CALCULATORS TODAY! |

| | |

| |6) Find the average value of [pic] on the |

| |interval [0, 2]. _______ |

| | |

| |7) Find [pic] if [pic] ____________ |

|1) [pic] ________ | |

| |8) Find the slope of the graph of [pic] |

|2) [pic] ________ |when x = 2. ______ |

| | |

|3) [pic] ________ |9) True or False: If [pic], then |

| |[pic] ______ |

|4) [pic] ________ | |

| |10) Multiple Choice: Which is equal to [pic]? |

|5) If [pic] and [pic], |A. [pic] B. [pic] C. [pic] D. [pic] |

|then [pic] _______ |_______ |

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|Name___________________Score_____ |Name_____________________Score_____ |

| | |

|Calculus Warm-up # 19-C |Calculus Warm-up # 19-D |

|NO CALCULATORS TODAY! |NO CALCULATORS TODAY! |

|11) [pic] ______ | |

| |Answer TRUE or FALSE, based on the piecewise |

| |function [pic] |

|12) If [pic], what is [pic]? ________ | |

| |16) If k = 5, there is a vertical asymptote at x = 5. |

|13) Multiple Choice: If [pic], then [pic] |________ |

|A. 3 B. -3 C. 1 D. -1 | |

| |17) If k = 5, f(x) is not continuous at x = 6. |

|________ |________ |

| | |

|14) Multiple Choice: If [pic], then[pic]= |18) If k = 5, f(6) = 10. ________ |

|A. sin x B. cos x C. [pic] D. [pic] | |

|_______ |19) If k = 6, f(6) = 12 ________ |

|15) Multiple Choice: If [pic], then | |

|[pic]= |20) If k = 6, f(x) is continuous at x = 6. ________ |

|A. 23 B. 27 C. 33 D. 32 | |

|_______ | |

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