4. Theorem 11.2.4 contains three product rules. What are the three different types of products used in these rules? Problems In Exercises 5-8, evaluate the given limit. 5. lim (2t +1,31² - 1, sin t) 1-5 6. lim 1-3 7. lim ((1+1)²) sin t+3 8. lim h-0 where r(t) = (t², t, 1). In Exercises 9-10, identify the interval(s) on which 7(t) is continuous. 7(t+h)-7(t) h O Search 9. 7(t) = (t²,1/t) 10. 7(t) = (cost, e¹, In t) In Exercises 11-16, find the derivative of the given function. 11. 7(t) = (cost, e¹, Int) hp I 22. (t) = 23. F(t)= 24. 7(t)= In Exercis smooth. 25. 7(t) = 26. 7(t) = 27. 7(t) = ( 28. 7(t) = (t Exercises 29 In each let (sin t,e', t). 29. Simplify f - same as f' 30. Simplify 7(t same as 7'( 31. Simplify r(t) same as 7' (t W
4. Theorem 11.2.4 contains three product rules. What are the three different types of products used in these rules? Problems In Exercises 5-8, evaluate the given limit. 5. lim (2t +1,31² - 1, sin t) 1-5 6. lim 1-3 7. lim ((1+1)²) sin t+3 8. lim h-0 where r(t) = (t², t, 1). In Exercises 9-10, identify the interval(s) on which 7(t) is continuous. 7(t+h)-7(t) h O Search 9. 7(t) = (t²,1/t) 10. 7(t) = (cost, e¹, In t) In Exercises 11-16, find the derivative of the given function. 11. 7(t) = (cost, e¹, Int) hp I 22. (t) = 23. F(t)= 24. 7(t)= In Exercis smooth. 25. 7(t) = 26. 7(t) = 27. 7(t) = ( 28. 7(t) = (t Exercises 29 In each let (sin t,e', t). 29. Simplify f - same as f' 30. Simplify 7(t same as 7'( 31. Simplify r(t) same as 7' (t W
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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11.2)question 5
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