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graph. derivative. 1. ( x(x) +4) 4x (28(x) -x) dx etrex = + C. i. Compute [ S (ansan(x) ". [ (ar -4 + sin(3)) dx Answer all the following questions i. Compute lim ) (32+4. # ) ili. Use three midpoint approximations [ Builds = 2. Compute the following: li. Use three left endpoint approximations i. Use three right endpoint approximations a S() - sin'(a) + sin(sectariante dx sin(x) 1. The graph of a continuous function f is given below. interval [-2.4). Is it possible for fundx (cas (2 + .) . . ). Note: the input of cosine is (2 + ! ) b. lim + ed arctan(x) b. A student claimed that (e" sin(x) dx = me" sin(x) - -e" cos(x) + C. Verify whether or not this is 2. Compute the derivative of the following functions can check their work on their own without the using any technology. 7. Let p be the posi . Its velocity is given by the formula v(!) = St - 12, where v is a. f(x) = x- cos(3x) measured in meters per s b. f(x) = arctan(x) - In(10)In(x) a. Find a formula for the p e / given that 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 particle at time . . Find the displace he time interval [0,8] anti-derivative formulas or fundamental theorem of calculus. d. cle 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 4 sec=(x) + In(3) + 2+ 1) sums. In addition, draw your approximations. Approximate the area under the curve y = f(x) from x = 2 to b. 5.x3 cos(x]) dx x = 6 using two left endpoint Riemann sums. In addition, draw your approximations. 5. Compute the following. xet'+idx (5' - x4 + 2) dx