University:
California State University, Northridge
Course:
MATH 250 | Calculus III
Academic year:

2013
Views:

270

Pages:

9
Author:

Rene Norton

MATH 250, Midterm 1 �&//o�S, Name: (print) _______ CXJ ____________ _ This test includes 9 questions (total of 58 points), on 9 pages. The duration of the test is 1 hour 15 minutes. Your scores: (do not enter answers here) 1 2 3 4 7 6 5 8 total Important: The test is closed books/notes. A basic scientific calculator is allowed; no graphing calculators or other electronic devices. Give complete solutions to problems; no credit will be given for just the correct answers. 1. (6 points) (a) Find an equation of the sphere that passes through the point P(l, 1, 1) and has center at C(l, 2, -1). IC PI =2-- Vo_<;L_+_I --i +-2 "'-, = ff C 2.. C>( - I) + 1- -L) + L� + 1) � '2-- /.. 5" , (b) Find an equation of the curve in which the sphere intersects the yz-plane. Sketch the curve in the plane. je --1� (J-- -2) Cy-- 2..) _, 0 {x=of :2L -1- (z.+I y- + + (c+ I) 'l-- I L/