Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Instructions: Calculate the definite integral of:
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- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardIf a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.arrow_forwarded at 10:08 PM Q2 Let a be a positive constant. Use geometry and properties of integrals to evaluate exactly [² (√₁² = 1² + \a + 3t| + a) dt. -a Q3 Let f be a function defined by the graph below. In addition, suppose 6 So f(x) dx -a for a positive constant a. Fill in the blanks. Select the not need to show your work. simplify.arrow_forward
- Advanced Matharrow_forwardgreen. A golfer makes a successful chip shot to the Suppose the path of the ball from the moment it is struck to the moment it hits the green is described by y = 13.51 x -0.62x² where * { [0,b]. where x is the horizontal distance (in yards) from the point where the ball was struck, and y is the vertical distance (in yards) above the fairway. a.) set up the integral (to just before integrating) to find the distance the ball travels (the arc length) from the moment it is Struck to the moment it hits the green. b.) If the ball travels 42 yards Chorizontally) down the fairway, find the arc length the ball travels. Round the nearest hundred.arrow_forwardWhat is the integral? I completed the square and set t-3=sqrt(2)sec(theta). Everything (including dt) would cancel out, leaving the integral of tan(theta), which would become ln|sec(theta)|+C, but my actual value of sec(theta) is either wrong, or the process leading up to this is wrong.arrow_forward
- (ii) Evaluate the definite integral r³e² dr.arrow_forwardHow does one do 14?arrow_forwardEvaluate the integral sec(theta)/sec(theta)-tan(theta) d(theta) A. sec2(theta) - tan(theta) + CB. tan(theta) + sec(theta) + CC. tan2(theta) + sec(theta) + C D. tan (theta) - sec(theta) +C please let me know if you need a picture. I wish i was able to format the integral better here. sec(x)/sec(x)-tan(x) dx (this is to help if you don't understand the theta input)arrow_forward
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