MAT 2020 Midterm: MAT2020 Wayne State 2020Test3

• School: Wayne State University
• Department: Mathematics
• Course: MAT 2020
• Professor: All

Document Summary

Name(print): [40pts] consider curve x(t) = t3 t, y(t) = t4 t2. (a). Compute and dy dx dx dt dy dt (b). Find both places where the tangent line of the curve is vertical. (c). Find all three places where the tangent line of the curve is horizontal. (d). Write the expression which computes the length of the curve from t = 0 to t = 2. (you do not need to evaluate it, just give the expression and simplify it. ) (e). Compute the area under the curve on 1 t 2. [10pts] find the centroid of the region bounded by y = Plot the point with polar coordinates ( 4, 2 /3). Convert cartesian coordinates ( 1, 3) into polar coordinate. Give two sets of polar coordinates for this point. [20pts] a curve is given in polar coordinate r = sin + cos (a).