Show all work! Please write your answers on a separate sheet of paper and upload them to Canvas as a PDF. 1. (4 points) Use Part 1 of the Fundamental Theorem of Calculus to evaluate the following derivative. dar sin (12 ) at 2. (4 points) Evaluate the given definite integral using the Fundamental Theorem of Calculus, Part 2. 1 ( - 16 ) (4 + 2 ) dy Hint: Distribute and simplify the inside of the integral before you evaluate. 3. (4 points) Use a basic integration formula to compute the following antiderivative. Vi Hint: Simplify the inside of the integral before you take an antiderivative. 4. (4 points) Given a velocity function v(t) = 6t2 -t (in feet per second) for a particle in motion from time t = 0 to t = 2, find the net displacement of the particle. A(s) = V3 5. (4 points) Write an integral that quantifies the change in the area 4 of an equilateral triangle when the side length triples from S units to 3S units. Then evaluate the integral