MATH 221 Midterm: MATH 221 KSU Test 1s98

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

You may use a calculator, but no books or notes. Use l"h opital"s rule to evaluate the limits. (a) lim x 1. X2 + 3 2 x 1 (b) lim x 0 (1 + sin(x)) Do not simplify. (a) y = arcsin(x) x page 2 (b) y = log5(2t + 1) (c) x = (t + et)t page 3 (14) 3. Find the area under the curve y = 1 x2 + 9 between x = 0 and x = 3 . (11) 5. Solve for y as a function of x if dy dx. = x2y x2 and y(0) = 3. page 4 (10) 6. Recall that the force of gravity satis es m1 m2. F = g r2 k r2 . Compute the amount of work done in lifting a 3 ton satellite into an orbit. 1,000 miles above the surface of the earth. (use 4,000 miles as the radius of the earth. ) (10) 7.