Please answer the questions below

10. 11. 12. 13. 14. . Find the series' radius and interval of convergence. For what values of 1 does the series converge, absolutely converge, conditionally converge? CK} co co on 4113271 3113!: (_1)n32n($ _ 2)n Z I" Z: ,, Z T! Z 3,, =0 n=1 \"=0 n=l . Find the Maclaurin series for the functions -3 b . 3 $2 a)e )sin I c): + 1 Find the Taylor series at :r = [I of the functions a)?" b) cos(5a:2) c) 2 1 d)1n(1 + $2) I Find an equation for the line tangent to the curve at the point dened by the given value of t I z=2cost,y=2sint,t=1r/4 a z=2cost,y=2sint,t =1r/4 Which polar coordinate pairs label the same point? a. (3, 0) b. (-3, 0) c. (2, 231/3) d. (2, Tar/3) e. (-3, 1r) f. (2, 7r/3) g. (3, 2r) h. (2, 7r/3) Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. 0 rcosl? + rsin = 1 o r2 = 4'." sin 6 Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. a $2+y3 =4,z =0 I $2+y2=4az=y nx=y