Approximating Arc Length or Surface Area In Exercises 65-68, write the definite integral for finding the indicated arc length or surface area. Then use the
integral in Section 8.8.)
Length of Pursuit A fleeing object leaves the origin and moves up the y-axis (see figure). At the same time, a pursuer leaves the point (1,0) and always moves toward the fleeing object. The pursuer’s speed is twice that of the fleeing object. The equation of the path is modeled by
How far has the fleeing object traveled when it is caught? Show that the pursuer has traveled twice as far.
Trending nowThis is a popular solution!
Chapter 7 Solutions
Bundle: Calculus, 10th + WebAssign Printed Access Card for Larson/Edwards' Calculus, 10th Edition, Multi-Term
- could you explain this pleasearrow_forwardthe answer is C, could you show me how to do itarrow_forward7. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.505.XP. Evaluate the integral. (Use C for the constant of integration.) 21z³e² dz | 21 Need Help? Read It SUBMIT ANSWER 8. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.020. Evaluate the integral. 36 In y dy ₤36 25 Need Help? Read It SUBMIT ANSWER 9. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.009. Evaluate the integral. (Use C for the constant of integration.) In(7x In(7x + 1) dxarrow_forward
- 10. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.506.XP. Evaluate the integral. √xy dy Need Help? Read It Watch It SUBMIT ANSWER 11. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.023. Evaluate the integral. 1/2 7 cos-1 x dx Need Help? Read It Watch It SUBMIT ANSWER 12. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.507.XP. Evaluate the integral. L² 0 (In x)² x3 dx Need Help? Read Itarrow_forwardi attached the question and the way i solved it, i believe i made an error, could you point it out for me because the correct answer is 3pi/2correct answer is D, please see both attached photosarrow_forwardQuestion 3 and 4arrow_forward
- could you explain this pleasethe answer is has sum 1but i dont know how to calculate itarrow_forwardcan you explain why the answer is 1/3arrow_forwardThe position of a particle that moves along the x-axis is defined by x = - 3t^2 + 12^t - 6 f, where t is in seconds. For the time interval t = 0 to t = 3 s, (1) plot the position, velocity, and acceleration as functions of time; (2) calculate the distance traveled; and (3) determine the displacement of the particleshow the graph and write the solution with a penarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL