An oil rig breaks and begins to leak oil into the arctic ocean at an increasing rate of R(t) = 30t + 10 litres per day. At the instant of breakage (t=0), 10 litres of oil was spilled into the ocean via the emergency release valve. What is the equation Vt), the amount of oil (in litres) leaked into the ocean at time t days? V(t) = 5² + 20t + 100 V(t) = 10²2 + 5/₂t + 1000 V(t) = 5/2² +10t + 100 Vt) = 15²2² +10t + 1000 Vt) = 5t² + 10t + 1000 V(t) = 15²2² + 10t + 10 1A)=15+² +5/-t -

If a ball is dropped from a height of 2304 feet, then its height in feet above the ground is given by h(t)=−16t2+2304 where t is in seconds. Find the average rate of change of the height of the ball as t varies from 8 to 10 seconds.   The average rate of change of the height of the ball is 704 feet per second.

0 FI m Reminding you: no other devices except for the allowed calculator, no headphones, no If you © 2005-2023 Graciela Cochran, all rights reserved. Any redistribution is strictly prohibited Use Simpson's Rule with n = 4 steps to estimate the integral. Question 7 8 (1 O 1171 315 O 1747 315 O 1171 210 O 1747 630 < Previous 3 dx

Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. t2 의 + y2 = ty dy dt