please help me with these questions. Thanks

please help me with these questions. Thanks!

please help me with these questions. TIA

please help me with these questions. Thanks!

please help me with these questions. Thanks!

please help me with these questions. THanks!

27. The graph shows the velocity of a car during a 5 hour trip. (a) Estimate how far the car traveled during the 5 hours. (b) At what constant velocity should you drive in order to travel the same distance in 5 hours? velocity (miles/hour) 20 1 2 3 4 5 time (hours)

Only #6, 9, 11, and 13

Write the sum using sigma notation: -3 +33 +3 - ... n=0

14) a) What is the Taylor series for f(x) = e2? b) What is the Taylor series for f(x) = e−213? c) What is the Taylor series for f(x) = x2e=2x" ? d) Evaluate the integral 112e-2 da using a Taylor series. 15) a) What is the Taylor series for f(x) = 11? b) What is the Taylor series for f(x) = (1-x)2? c) What is the Taylor series for f(x) = (1-810)2? d) Evaluate the integral 1/4 (1-8102 dr using a Taylor series. 16) a) What is the Taylor series for f(x) = ln(1+x)? b) What is the Taylor series for f(x) = ln(1 + x2)? c) What is the Taylor series for f(x) = x2 ln(1 + x2)? d) Evaluate the integral (1/2 21 In(1 + x2)dx using a Taylor series.

9. A business is expected to generate income at a continuous rate of 25,000ドル per year for the next eight years. Money can earn 3.4% annual interest, compounded continuously. The business is for sale for 153,000ドル. Is this a good deal?

7. Find the present value of a continuous income stream F(t) = 12 +0.3t2, where t is in years and F is in thousands of dollars per year, for 8 years, if money can earn 3.7% annual interest, compounded continuously.