1. For graph like -3cos(1/2(theta- 3π/2) + 2 what's the best method for finding the relevant intercepts and coordinates of turning points and such? domain being equal to [-π, π]. Also if it were different domain would that only affect the end points in my calculation? 2. For 100cos[π(x-400)/600]+30 for 0<x<1600 I tried finding the x-intercepts of this equation by hand by finding the inverse cos of -3/10 then solving for x but that only gives me the second intercept of 758... how do I get the first intercept at 41.8? Also I tried to find the integral of 100cos[π(x-400)/600]+50 for boundaries 800 to 1200 and received the answer of 59937.66 when it should be 13080, what mistake did I make? 3. How do I differentiate V= π(h+1)[(ln(h+1))² + h]?