1. Set up the integral to find the arc length of the curve y = = [₁² ✓cost-Idt on the interval 0 ≤ x ≤ Then evaluate the
Posted: Tue Jul 05, 2022 10:07 am
1. Set up the integral to find the arc length of the curve y = = [₁² ✓cost-Idt on the interval 0 ≤ x ≤ Then evaluate the integral to find the exact length of the curve on the given interval. 2. A semicircular plate with radius 5 meters is partially submerged vertically in water so that the circular top is 2 meters above the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Clearly label your coordinate axes, especially the origin. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the mass density of water is 1000 kg/m³. You may use a calculator to evaluate the definite integral. Round your answer to the nearest whole number.) 2m