I need help with the question attached thank you.

Answer \"T\" (for \"True\") if the given assertion is always true. Otherwise, answer \"F\" (for \" False\"). (a) If f is continuous for all a: and / rs) sis: is continuous for all 3:, then f is differentiable for all 3:. (b) The future value of an ordinary annuity of n > 2 payments of R > 0 with periodic interest rate r > D is the sum of all payments taken at the end of the term of the annuity. 2 (c) / |m| d3: = (I?) + C where C is an arbitrary constant. (d) If c is a critical value of h, then the second-derivative test will tell us whether It has a relative maximum at c or a relative minimum at c. (e) If k > 1 is a constant and 9(a) = kmg + ks: + I: + Huts), then g'(1)= 21:2 + k +1