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Calculus Final Review

# Calculus Final Review - Calculus I Final Exam Review Hass...

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Calculus I - Final Exam Review Hass 2.1-5.6 1.Find the average rate of change of f(x) = x 2 – 2x from x 1 =3 to x 2 =6 ARC = _______ State the limits of the following: 2. lim x->-5 1/(x-5) = ___________ 5. lim x->5 (x 2 – 25)/(x – 5) = ____________ 3. lim x->5 - 1/(x-5) = ___________ 6. lim x->5 - (25-x 2 ) = ____________ 4. lim x->5 + 1/(x-5) = ___________ 7. lim x->5 + (25-x 2 ) = ____________ 8. State the type and location of any discontinuity for: f(x) = (x-3)/(x 2 + x -12) ___________________________________________________________ 9. Find the equation of the tangent line to xy + y 2 = 3 at (-2,3) ____________________ For the function: f(x) = x 3 – 3x 2 -9x, state the following: 10. the critical numbers_______________ 14. local maximum point(s) ____________ 11. interval(s) of incr. _______________ 15. interval(s) where C.U. ____________ 12. interval(s) of decr. _______________ 16. interval(s) where C.D. _____________ 13. local minimum point(s) ____________ 17. P.O.I.(s) ____________________ 18. A ball is thrown upward. Its height is given by: h(t) = -16t 2 + 56t, find: a) Time it reaches its max height:___________ b) The max height____________ c) Instantaneous velocity @ t = 1 sec.______ d) Velocity when it hits the ground_____ e) Average velocity from t 1 1 to t 2 = 3 seconds.______________ 19. A box with a square base and no top is to be constructed from 300 in 2 of cardboard.

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