1. [-/1 Points] DETAILS LARAPCALC10 6.2.004.MI. Use the indicated formula from the integration table to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 5 *2 - 25 dx, Formula 21 Need Help? Read It Master It Submit Answer 2. [-/1 Points] DETAILS LARAPCALC10 6.2.012. Use the integration table to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) Vx2 - 4 dx Need Help? Read It Watch It Submit Answer 3. [-/1 Points] DETAILS LARAPCALC10 6.2.014.MI. Use the integration table to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) Vx2 -4 dx Need Help? Read It Watch It Master It Submit Answer4. [-/1 Points] DETAILS LARAPCALC10 6.2.028. Use the integration table to find the indefinite integral. (Use C for the constant of integration.) x 2 V x 2 - 3 Need Help? Read It Watch It Submit Answer 5. [-/1 Points] DETAILS LARAPCALC10 6.2.038. Use the integration table to evaluate the definite integral. X V2 + 2x = dx Need Help? Read It Watch It Submit Answer 6. [-/1 Points] DETAILS LARAPCALC10 6.2.050. Use the integration table to find the exact area of the region bounded by the graphs of the equations. Use a graphing utility to verify your results. y = 5x In(x ), y = 0, x = 1, x = 5 Need Help? Read It Watch It7. [-/1 Points] DETAILS LARAPCALC10 6.2.052. MY NOTES ASK YOU Find the indefinite integral using the integration table and using integration by parts. (Use C for the constant of integration.) 6xe 5x dx (a) using the integration table (b) using integration by parts Need Help? Read It Watch It Submit Answer 8. [-/1 Points] DETAILS LARAPCALC10 6.2.056. MY NOTES ASK YOU The probability of finding between a and b percent iron (in decimal form) in ore samples is modeled by P (as x s b ) = zx3ex dx, osasb= 1. What are the probabilities of finding between 0% and 32% and between 52% and 100% iron in a sample? (Round your answers to three decimal places.) (a) between 0% and 32% (b) between 52% and 100% Need Help? Read It Watch It Submit Answer 9. [-/1 Points] DETAILS LARAPCALC10 6.2.058. MY NOTES ASK YOUR Use a graphing utility to graph the growth function. Use the integration table to find the average value of the growth function over the interval, where / is the size of a population and t is the time in days. (Round your answer to three decimal places.) N = 350 1 + e4.30 - 0.25t' [23, 28]9. [-/1 Points] DETAILS LARAPCALC10 6.3.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE Use the Simpson's Rule program in Appendix E with n = 8 to approximate the present value (in dollars) of the income c(t) over t, years at the given annual interest rate r. (Round your answer to two decimal places.) c(t) = 185,000 + 15,000 /t, r = 11%, t, = 8 $ Use the integration capabilities of a graphing utility to approximate the present value (in dollars). Compare the results. (Round your answer to two decimal places.) $ Need Help? Read It Submit Answer 10. [0.34/1 Points] DETAILS PREVIOUS ANSWERS LARAPCALC10 6.3.044. MY NOTES ASK YOUR TEACH The table shows the residential prices of electricity (in cents per kilowatt-hour) for the years 2006 through 2014.t Year 2006 2007 2008 2009 2010 Price 10.40 10.65 11.26 11.51 11.54 Year 2011 2012 2013 2014 Price 11.72 11.88 12.12 12.54 (a) Use Simpson's Rule to estimate the average residential price of electricity over the time period in cents per kilowatt-hour per year. (Round your answer to four decimal places.) cents per kilowatt-hour per year (b) A model for the data is E = 516.23254e~ + 0.01825 - 0.595t2 + 6.58t - 12.9 for 6 s t s 14, where E is the residential price of electricity (in cents per kilowatt-hour) and t is the year, with t = 6 corresponding to 2006. Use integration to find the average residential price of electricity over the time period, in cents per kilowatt-hour per year. (Round your answer to four decimal places.) cents per kilowatt-hour per year (c) Compare the results of parts (a) and (b). The two values are approximately equal. O The two values are significantly different. 6. [-/1 Points] DETAILS LARAPCALC10 6.4.031.SBS. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine the amount of money required to set up a charitable endowment that pays the amount P each year indefinitely for the annual interest rate r compounded continuously. P = $13,000, r = 6% STEP 1: We start with the present value of a perpetuity, which is defined as follows. Present value =_ Here, ? v represents the size of each annual payment in dollars, and [? | represents the annual interest rate. STEP 2: Calculate the present value. (Round your answer to two decimal places.) Need Help? Read It Watch It Submit Answer 7. [-/1 Points] DETAILS LARAPCALC10 6.4.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE A charitable foundation wants to help schools buy tablet computers. The foundation plans to donate $33,000 each year to one school beginning one year from now, and the foundation has at most $600,000 to start the fund. The foundation wants the donation to be given out indefinitely. Assuming an annual interest rate of 6% compounded continuously, does the foundation have enough money to start the school fund? (Round your answer to two decimal places.) The amount the foundation needs to fund the donation is $ . [---Select--- , the foundation -Select- |enough money to start the fund. Need Help? Read it Watch It Submit Answer 8. [-/1 Points] DETAILS LARAPCALC10 6.4.038.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE A farm is expected to yield a continuous flow of profit at the rate of $81,000 per year. Assuming an annual interest rate of 4% compounded continuously, what is the present value of the farm for 20 years? What is the present value of the farm forever? (Round your answers to two decimal places.) (a) for 20 years $ 1 (b) forever $ Need Help? Read It Watch It Master It Submit