FinalReview1 - Math 1 710 F inal R eview 1 1 1 . Use t he e...

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1. 2. .) J. Math 1710 Final Review 1 Use the e - d definition of limit to prove ,"I2. lim(r2-2r*1):4. c-3' Use the e - d definition of limit to prove lim-' ':3. iir+L / 13. Prove that if ]t1g /(") : L and Iim o(r) : K, then \im(f b\ * q(r)) : z-a"' u-a\v \ L+K. 74. Use the definition of derivative to derive 1b. /'(r) where f (r) : Jlr + 7 16. Use the definition of derivative to derive s'(r) where g(r):T:i 17' Derive the formula for the derivative of . Id. sln r. Use the derivative formulas for sin r and cos r to derive the formula for the deriva- 19. tive of lanr. o16 Let f (r): trz I I for I { r < 4. Find T, the maximum and minimum values for /(r) on this interval. (Be sure to say how you know your answer is correct.) An object moves along a straight line 20' with position given by s(i) : t2 -2t+3. Find the velocity and acceleration of the object at time t:2. An object moves along a straight line with position given by s(f ) : S cos(?)+ o.l t2sin(!). Find the velocity and accel- Lr' eration of the object at time t:3. Find an equation of the tangent line to
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