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- For Exercises 73–104, verify that the equation is an identity.6. (a). State the Stokes' Theorem. (b). Use the Stokes' Theorem as stated in (a) to evaluate the line integral: F- dř F = xyi+ 2yz j+ xz k where: and C is the boundary of the plane z = 1- y as shown in Figure 1. Assume C is oriented anti-clockwise as viewed from above.For Exercises 12–15, simplify completely. Write the answers with positive exponents only. 12. a. 9° b. -9° c. 9xº d. (9x)° 1 13. а. b. т -5 m c. 8m-n? d. 8m'n-2 14. (–12a-642 1 4 15. 2u°v -3.2
- Find tan 3. [? r (-3, -4) EnterCan you help me figure out #6 and show workUse this information to solve Exercises 133–134. A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds, the ball's distance, d, in inches from its rest position is given by d = -4 cos1. 133. Find all values of t for which the ball is 2 inches above its rest position. 134. Find all values of t for which the ball is 2 inches below its rest position.
- For Exercises 19–26, use an addition or subtraction formula to find the exact value. (See Examples 2 and 5) 5T tan 4 + tan 35л 20. cos- 357. 5T + sin 18 12 19. sin 140°cos 20° – cos 140°sin 20° -sin 18 COS 21. 18 18 5T 1 - tan tan 4 12 tan 15° – tan45° 35л 22. sin- cos 36 137 35т . 13т sin- 23. сos sin- 24. 1 + tan 15° tan 45° sin COS 3 6. cos 18 36 18 10T 26. sin- 10л . 7т sin 9. 25. cos 200°cos 25° - sin 200° sin 25° + cos COS 18 18Please help explain. Thank you!Just #2. Thank you.