MATH 1172 Midterm: MATH 1172 Ohio State University Fall 2014 Solutions

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1172
• Professor: All

Document Summary

September 3, 2015: find the arc length of the curve y = x4. Solution: recall that the formula for arc length of a continuous, di erentiable curve y = f (x) on the interval a x b: Let us nd a, b, and dy di erentiation yields that dx. It is given that 1 x 2. 1: (test question) find the arc length of the graph y = 2" e3x. Solution: again we use the formula for arc length of a continuous, di erentiable curve y = f(x) on the interval a x b: Let us nd a, b, and dy dx . Thus a = 0 and b = 3. By the provided information and the fundamental theorem of calculus, = 3 + e18 (0 + e6 0) 4 x 4(cid:19)2: (test question) find the arc length of the curve y = 1.