Hi I need problems [ 1-5 ] solved.

Please write full steps in order to understand. Thank you

1. Consider the curve given by the following parametric equations 93=3tt2 y=4\\/E1 19:39 (a) Eliminate the parameter to write the equations as a single function y = f (56') or .7: = 9(y). Be sure to indicate the correct range of values for your new input variable. (b) Find the slope of the tangent line to the curve at the point (4, 7). (c) Set up, but do not evaluate, an integral that gives the arc length of the curve. 2. (a) Plot and label the following points given in polar coordinates 7r 5n (3: E): (211) 11' 31v (1'51?)1 (113) (b) Convert those points to Cartesian coordi- nates. 3. Sketch a graph of the region described by OSrS3 4. Convert the Cartesian coordinates (0, 2) and (2,2\\/) to polar coordinates. 5. Rewrite the polar function r = 3cos(9) in terms of 2c and y