Question Details SEssCalc [ ] Question Details SEssCalc [ ] Question Details SEssCalc MI.

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1 REVIEW FOR QUIZ 1 MATH 202 LM SP2014 ( ) Question Description Also do the following problems from previous Finals: To get those go to the following link. SPRING 2013: 2(d), 3(ALL); FALL 2012: 1(ALL), 10(a); SPRING 2011: 2(ALL), 9; FALL 2010: 1(ALL), 10; SPRING 2009: 1(ALL), 7(a); FALL 2008: 1(ALL), 9(a); SPRING 2008: 1(ALL), 9(a). AND FROM SECTIONS 5.1: EXERCISES: 37, 38 AND Question Details SEssCalc [ ] Differentiate the function. G(y) = ln (2y + 1)4 y G'(y) = 2. Question Details SEssCalc [ ] Find y' and y''. y = ln(sec 3 + tan 3) y'' = 3. Question Details SEssCalc MI. [ ] Find an equation of the tangent line to the curve at the given point. y = ln( 4 624), (5, 0) 4. Question Details SEssCalc [ ] Use logarithmic differentiation or an alternative method to find the derivative of the function. y = Question Details SEssCalc [ ] Page 1 of 7

2 Evaluate the indefinite integral. (Use C for the constant of integration.) sin cos 2 6. Question Details SEssCalc [ ] (ln ) 8 7. Question Details SEssCalc [ ] Question Details SEssCalc [ ] 1 e Question Details SEssCalc [ ] 2 5 dt 4 3t 10. Question Details SEssCalc [ ] 7 cos 6 + sin Page 2 of 7

3 11. Question Details SEssCalc [ ] e 6 + e 12. Question Details SEssCalc [ ] (6 + e ) 2 e 13. Question Details SEssCalc [ ] Differentiate the function. F(t) = e6t sin 2t F '(t) = 14. Question Details SEssCalc MI. [ ] Use logarithmic differentiation or an alternative method to find the derivative of the function. y = 2 cos 15. Question Details SEssCalc [ ] Use logarithmic differentiation to find the derivative of the function. y = 6 sin 16. Question Details SEssCalc [ ] Use logarithmic differentiation or an alternative method to find the derivative of the function. y = (sin 7) ln 17. Question Details SEssCalc [ ] Page 3 of 7

4 Differentiate the function. y = 2 log Question Details SEssCalc [ ] A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 410. (a) Find an epression for the number of bacteria after t hours. P(t) = (b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.) P(4) = 28,258 bacteria (c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.) P'(4) = 39,871 bacteria per hour (d) When will the population reach 10,000? (Round your answer to one decimal place.) t = 3.3 hr 19. Question Details SEssCalc MI. [ ] The halflife of cesium137 is 30 years. Suppose we have a 60mg sample. (a) Find the mass that remains after t years. y(t) = mg (b) How much of the sample remains after 130 years? (Round your answer to two decimal places.) 2.98 mg (c) After how long will only 1 mg remain? (Round your answer to one decimal place.) t = yr 20. Question Details SEssCalc [ ] Find the derivative of the function. Simplify where possible. y = (tan 1 (4)) Question Details SEssCalc MI. [ ] Page 4 of 7

5 Find the derivative of the function. Simplify where possible. y = sin 1 (2 + 1) 22. Question Details SEssCalc [ ] 0 3/ Question Details SEssCalc [ ] π/10 sin cos Question Details SEssCalc [ ] t 2 1 t 6 dt 25. Question Details SEssCalc [ ] Find the derivative of the function. Simplify where possible. F(θ) = arcsin sin(9θ) F '(θ) = 26. Question Details SEssCalc [ ] f() = tanh(3 + e 2 ) f '() = 27. Question Details SEssCalc [ ] Page 5 of 7

6 g() = cosh(ln ) g'() = 28. Question Details SEssCalc [ ] y = e cosh(3) y'() = 29. Question Details SEssCalc [ ] y = tanh 1 + ln 1 2 y'() = 30. Question Details SEssCalc [ ] f(t) = sech 2 (3e t ) f '(t) = Assignment Details Name (AID): REVIEW FOR QUIZ 1 MATH 202 LM SP2014 ( ) Submissions Allowed: 5 Category: Homework Code: Locked: No Author: Islam, Mohammad ( shafiqusa@gmail.com ) Last Saved: Feb 8, :27 AM EST Permission: Protected Randomization: Person Which graded: Last Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response Page 6 of 7

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1 of 6 7/10/2013 8:32 PM 2.2Basic Differentiation Rules and Rates of Change (2047326) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 1. Question Details LarCalc9 2.2.003.