Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
1) montly rate, r = 5% / 12 = 0.416% = 0.00416
2) capital, C = $ 450 = present value
3) time = 11 years => number of periods = 11 * 12 = 132
4) Formula: FV = C * (1 + r) ^ (number of periods)
5) Calculation: FV = $450 * ( 1 + 0.00416)^(132) = $ 779.07
Answer: $ 779.07