Answer is B
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
1. Prove that for 0<x< , с 4C 1 1 Tx COS с Злх COS X= + + 5πχ COS с + 2 12 32 C 52
Solve the equation on the interval 0 5 0 < 21. 5 sine - cos a = -1 00, 40 , 7 0 37 | O None 00, 2
[3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that \f'(x) < 1/(1 - 1z| for all z e D[0, 1]. [3] 5. Suppose that f: D[0, 1] → D[0, 1] is holomorphic, prove that f'(x) < 1/(1-1-12 for all z e D[0, 1]
. c) + < 2 b) 2 + 3x 27, 0. Solve for r: r' + 2.r < 2.1? +12
3. Find the length of the curve y = y=for 0 < x < 2.
1. Find (2.rº + y) DV where Q = { (z,y,z) | 0<<<3, -2<y<1, 1<2<2} 1 / 12
note to self: Quiz5a1
Question 1: If cos(A) = ., where 35 <A< 27, and COS(B) = 5, where 0<B< , find cos(A+B). Answer: cos(A+B) =
Solve the equation 6 sina x = 17 cos x + 11 for x in the interval 0 < x < 21. [4A]
Solve the follwing rational inequality: 2 – 3 < 0 x + 1