MATH 0220 Midterm: Math 0220 c1-h2-10answers-234
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1. (a) a television camera is positioned 400 ft from the base of a rocket launching pad. 400 dy dt: a 50 ft ladder leans against a wall. As the base of the ladder is pulled away at a rate of 2 ft/sec. , the ladder slides down the wall. 50 dx dt (2: the cue ball rolls along the hyperbola 2x2. As it goes through the point (5, 7), the y coordinate is increasing at a rate of 20 in/sec. Get dx dt by implicitly di erentiation the hyperbola equation: solve for x. 12 + 2e1+x = 45 ln (33/2) 1. 4 0. 2e1 2x = 2 (1 ln (10))/2 ln (2x + 3) = 3. 25 (e3. 25. 1 30e 0. 2x answer: f (x) = (1 30e 0. 2x)(5e 0. 2x. Xe 0. 2x) 30xe 0. 4x (1 30e 0. 2x)2 (d) f (x) = (ln (x))3. 3(ln (x))2 answer: f (x) = x (e) f (x) = ln (ln (1 + x2)) answer: f (x) =
