MATH 124 Midterm: MATH 124 UW 124 Winter 12 Sol1

• School: UW
• Department: Mathematics
• Course: MATH 124

Document Summary

Math 124, section g, winter 2012,solutions to midterm i: evaluate the following limits. (a) (3 points) lim x 2 (x2. = lim x 2 (x 2)(x 5)ex (x 2)(x + 2) = lim x 2 (x 5)ex x + 2. Eln 2 h d dx: let l1 be the tangent line to y = (x2 + x + 1)ex. Let l2 be the tangent line to y = x2 + 7x 14. = eln 2 = 2 at x = a. The tangent lines l1 and l2 intersect at right angles at the point c. find the value of a and the coordinates of the point c. The slope of l1 is given by the value of y = (2x + 1)ex + (x2 + x + 1)ex. The slope m1 = 1 and the point is (0, 1. 2 ) so the equation for l1 is or.