RandolphT4bW98

RandolphT4bW98 - Winter 1998 Math 21 Test #4b (50 pts) Name...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Winter 1998 Math 21 Test #4b (50 pts) Name Show all your work in answering each question. 1. (8) Solve the differential equation y 0 + xy =0, y (0)=2. 2. (5) Set up, but do not evaluate , the integral for the length of the curve y = x 3 for 0 x π 2 . b) (3) How is the “arclength function” for this curve defined? s ( x )= 3. (6) Calculate the moment about the x -axis for the region enclosed by the curves y = x and y = x . Assume a uniform density of 1. 4. For this question, consider the curve represented by the parametric equations x = t - 1 y = t 3 - 3 t for 0 t 2 . (a) (3) Sketch this curve. (b) (5) Eliminate the parameter, t , to find a corresponding Cartesian equation involving only x and y . 5. Given the parametric equations x = cos
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online