written Problems for Sections 5.5-5.7 1. Area Function a) Find the formula for the area function, A(z), represented by t

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Written Problems For Sections 5 5 5 7 1 Area Function A Find The Formula For The Area Function A Z Represented By T 1 (26.96 KiB) Viewed 44 times

written Problems for Sections 5.5-5.7 1. Area Function a) Find the formula for the area function, A(z), represented by the integral below. (5 pts) b) Use the function 4(x) to find both A(x) and A(2x). (2 pts) n(t) and shade the area for the interval [0.2m]. (1 pt) e) Graph f(t)- sin d) Graph A(x) on the same graph and plot the point (2.4(2)). (1 pt) e) What is the relationship between parts (e) and (d)? (1 pt) sin 2. A particle moves in a straight line with the velocity (t)-36-24t+ 3t (in meters per second). a) Find the displacement of the particle on the interval [0, 10] seconds. (5 pts) b) Find the total distance travelled over the same time period. (You will need 3 separate integrals)(5 pts) 3. Use the Substitution Method to evaluate the following indefinite integral. (Don't forget your constant!) (5 pts) fx(x³ + 19²³ d 1) 4. Use the Substitution Method to evaluate the definite integral. (5 pts) (In x) [")" de