Determine the radius of curvature of the curve x = y^3 at point (1, 1)
Problem
Determine the radius of curvature of the curve $x = y^3$ at point (1, 1).
| A. 5.27 | C. 5.56 |
| B. 5.65 | D. 5.72 |
Calculus
Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. How fast is the outer surface area shrinking?
Problem
Gas is escaping from a spherical balloon at a constant rate of 2 ft3/min. How fast, in ft2/min, is the outer surface area of the balloon shrinking when the radius is 12 ft?
| A. 1/2 | C. 1/3 |
| B. 1/5 | D. 1/4 |