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graph. derivative. deriveve . 7. Answeet all the folla ". [(x() +4) 4x * [ (22(1) -4) 4x Jed =+ c. ". [ (ar - 4 + sim(3) 4x i. Compute lim ) (32+# # ) ill. Use three midpoint approximations [()dx =2. Compute the following: li. Use three left endpoint approximations Use three right endpoint approximations sin(x) 1. The graph of a continuous function fis given below. interval [-2.41. Is it possible for fundx cos (2 + 5.!) . 5 ). Notes the input of cosine is (2 + !) b. lim ( + ed arctan(x) b. A student claimed that (e" sin(x) dx = je" sin(x) - - e" cos(x) + C. Verify whether or not this is 2. Compute the derivative of the following functions correct. Tell the st t how they can check their work on their own without the using any technology. 7. Let p be the position elocity is given by the formula v(1) = 5: - !, where v is a. f(x) = x3 cos(3x) measured in meters per s ed in seconds. b. f(x) = arctan(x) - In(10)In(x) a. Find a formula for the position at the initial position of the particle is p(0) = 5 meters 3. Compute x3 dx by using the definition of the definite integral as a LIMIT of Riemann Sums. Do not use Find a formula for the acceleration of the p e at time t. Find the displacement of the particle ov over the time interval [0.8]. anti-derivative formulas or fundamental theorem of calculus. d. Find the total distance traveled by the particle over the time interval [0,8]. 4. Compute the following. Then check your work by taking the appropriate derivative to receive full credit. 8. The graph of a continuous function fis given: a. Approximate the area under the curve y = f(x) from x = 2 to x = 6 using two right endpoint Riemann sums. In addition, draw your approximations. a. 4 sec-(x) + In(3) + 2 + 1)d b. Approximate the area under the curve y = f(x) from x = 2 to b. 5x3 cos(x]) dx x = 6 using two left endpoint Riemann sums. In addition, draw your approximations. 5. Compute the following. a. xet+ dx b . ( 5 ' - 14 + 2 ) dx