Suppose that you have a savings account whose rate of change of value over time is e' dollars/year. If you begin with $100 saved, how long will it take you to become a millionaire off of your savings account? (a) Compute | sin(x) | dr. (b) Now compute sin(x) de . Which is larger? (c) In general, what is the relationship between If(x)| da and f(x) de ? When are they equal?Compute the indefinite integrals. Note that your answer will be in terms of f(x). (a) / f'(x) cos(f(z)) dir (b) ( 2f(x)f(2)elf(=)) dr f(x) (c) 1+ (f(x))2