MATH 140 Midterm: MATH140 JOHNSON-G FALL2008 0203 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: All

Document Summary

Your solutions should read nicely and be legible. They should not be composed of regurgitated fragments of your mind scattered about the page: a block of ice has a square top and bottom and rectangular sides. At a certain point in time each dimension of the square is 30 cm and is decreasing at the rate of 2 cm/hr, while the depth is 20 cm and is decreasing at a rate of 3 cm/hr. How fast is the ice melting: use linear approximation to estimate 4 15. You do not need to simplify your nal answer. [10 pts each] (a) y = x2 x2 + 1 (b) y = tan2 (cid:16) x. 2(cid:17) (c) y = (x (d) y2 + 1 = x2 sec(y) Your nal answer should be in terms of just x"s: find the equation of the tangent line to y = sec(x) x . 3 + 1 at the point ( .