EXERCISE 3: Find the derivatives: a/ y = cos(3r) + Inr sinc b/ y = sec10 r + logs (logs(x2)) c/ y = 101086 I EXERCISE 4: Find the limits: a/ lim I-+0o log, (12) b/ lim (sin x2): I+0+ c/ lim x2 - 7x + 12. (x - 3)2 ; Do not use L'Hopital's Rule I-+3 EXERCISE 5: Evaluate the following integrals. Write clearly your substitution, Integration by parts, and the number of the formula you are using al 1 dx r\\/81 - In?(3x) b/ 23 cosh(3x) dx c/ sinh re- dr; Using the definition of sinh rEXERCISE 5-Following: d/ sinha cosha dr; Using IBP 2log3(12) I In 3 - dx In 3 cos r sec(sin a) tan(sin r)3sec(sing) do; Do not use formula 15, but the definition of a" EXERCISE 6: a/ Use the Max-Min Inequality to find the upper and lower bounds for J, Inadx and falnadx. b/ Add these to arrive at an estimate of , Incdx. (Give decimal numbers at the end, for the lower and higher bounds) EXERCISE 7: a/ Starting with y = et, use Logarithmic differentiation to prove the formula (e?)' = ex. b/ Starting with y = tanh (") with u