4.7 Homework 11/23/17, 12:49 AM jarallah almarri MAT 265, section 72204, Fall 2017 Instructor: Sergey Nikitin WebAssign 4.7 Homework (Homework) Current Score : 11 / 14 Due : Saturday, November 25 2017 11:59 PM MST 1. 1/1 points | Previous AnswersSEssCalcET2 4.7.001. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 3 5 3 + x2 x3 4 6 4 F(x) = 34x+518x3316x4+C 2. 1/1 points | Previous AnswersSEssCalcET2 4.7.007. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) g(t) = 8 + t + t2 t G(t) = 16t12+2t323+2t525+C https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 1 of 7 4.7 Homework 11/23/17, 12:49 AM 3. 1/1 points | Previous AnswersSEssCalcET2 4.7.011. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 2ex 8 cosh x F(x) = 2ex8sinhx+C 4. 1/1 points | Previous AnswersSEssCalcET2 4.7.013. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.) f(x) = x5 x3 + 6x x4 F(x) = x22ln|x|3x2+C https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 2 of 7 4.7 Homework 11/23/17, 12:49 AM 5. 1/1 points | Previous AnswersSEssCalcET2 4.7.015. Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x) = 5x4 2x5, F(0) = 8 F(x) = x5x63+8 6. -/1 pointsSEssCalcET2 4.7.017. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f''(x) = 28x3 18x2 + 8x f(x) = https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 3 of 7 4.7 Homework 11/23/17, 12:49 AM 7. -/1 pointsSEssCalcET2 4.7.019. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 5 5/6 x 6 f(x) = 8. 1/1 points | Previous AnswersSEssCalcET2 4.7.025. Find f. f'(t) = 20 , 1 + t2 f(1) = 0 f(t) = 20arctan(t)5 https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 4 of 7 4.7 Homework 11/23/17, 12:49 AM 9. 1/1 points | Previous AnswersSEssCalcET2 4.7.027. Find f. f '(t) = 4 cos t + sec2t, /2 < t < /2, f(/3) = 5 f(t) = 4sin(t)+tan(t)+533 10.1/1 points | Previous AnswersSEssCalcET2 4.7.029. Find f. f''(x) = 2 + 30x 12x2, f(0) = 4, f'(0) = 18 f(x) = x2+5x3x4+18x+4 https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 5 of 7 4.7 Homework 11/23/17, 12:49 AM 11.1/1 points | Previous AnswersSEssCalcET2 4.7.031. Find f. f ''() = sin + cos , f(0) = 1, f '(0) = 4 f() = sincos+5+2 12.1/1 points | Previous AnswersSEssCalcET2 4.7.033. Find f. f ''(x) = x2, x > 0, f(1) = 0, f(4) = 0 f(x) = ln(x)+ln(4)3xln(4)3 13.1/1 points | Previous AnswersSEssCalcET2 4.7.049. Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 10 m/s and its downward acceleration is a= 9 0.9t 0 if 0 t 10 if t > 10. If the raindrop is initially 500 m above the ground, how long does it take to fall? (Round your answer to two decimal places.) 11.82 s https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 6 of 7 4.7 Homework 11/23/17, 12:49 AM 14.-/1 pointsSEssCalcET2 4.7.051. What constant acceleration is required to increase the speed of a car from 22 mi/h to 54 mi/h in 2 s? (Round your answer to two decimal places.) ft/s2 https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=16578693#Q14 Page 7 of 7