7. [-10.17 Points] DETAILS SCALCET9 11.9.015. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER (a) Use differentiation to find a power series representation for _ (2 +x)1' fiX)= (i) n=0 What is the radius of convergence, R? (in) Use part (a) to find a power series for X _; )_ (2+x)3' Wi) n=0 What is the radius of convergence, R? (c) Use part (b) to nd a power series for X2 (2 +x)3' \"*)=i(:i) n=2 x) = What is the radius of convergence, R? Need Help? 8. [-10.17 Points] DETAILS SCALCET9 11.9.021.MI. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Find a power series representation for the function. (Give your power series representation centered at x = 0.) fix) = |n(7 x) am) n=1 Determine the radius of convergence, R. Need Help? 9. [-10.17 Points] DETAILS SCALCET9 11.9.017. OH 00 Submissions Used MY NOTES ASK YOUR TEACHER Find a power series representation for the function. fix)- X _(1+6x)2 2(:i) Determine the radius of convergence, R. Need Help? __ 10. [-/0.17 Points] DETAILS SCALCET9 11.9.027.MI. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Evaluate the indefinite integral as a power series. dt C + J n = What is the radius of convergence R? R = Need Help? Read It Watch It Master It 11. [-/0.17 Points] DETAILS SCALCET9 11.XP.9.015. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Use a power series to approximate the definite integral, I, to six decimal places. 0.3 1 5 dx 1 + x 50 I = Need Help? Read It Watch It 12. [-/0.17 Points] DETAILS SCALCET9 11.XP.9.017. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Use a power series to approximate the definite integral, I, to six decimal places. x arctan(3x) dx I = Need Help? Read It Watch It 13. [-/0.23 Points] DETAILS SCALCET9 11.9.046. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER Start with the geometric series x n = 0 (a) Find the sum of the series nx - 1, |x|