Q1:

Use the following function to answer the questions below: g(t) = (9t - 2) 1/5 (a) Find g'(t) = (b) Use your answer in part (a) to find the exact value(s) of t where g(t) has a vertical tangent line. If you have more than one answer, enter your answers separated by commas. If your answer is none, enter NONE. t =Consider the curve dened implicitly.r by the equation: xsy + 2x = y3 + l d FI d ~11 = (a) n W |:| (b) The slope of the curve at (O, 1) is |:| . This tells us that the curve is at (D, 1). (c) Find the equation of the tangent line to the curve at (I), 1) ' Use y for the dependent variable and x for the independent variable. E Consider the area bounded by the y = 7sin(x) and y = 7cos(x) between the y-axis and their first intersection to the right of the y-axis. (a) Set up the definite integral that is needed to find the area. (b) Evaluate your integral in part (a). Give your final answer in exact simplified form