Review_Set_C3

# Review_Set_C3 - Student's Name: MAC2311-17, Review Set for...

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MAC2311-17, Review Set for Chapter 3 3.1 : 9, 10, 12, 14 9) At what point on the given curve y = 9 + 6 e x - 6 x is the tangent line parallel to the line 30 x - y = 4? ( ) (45 - 6 ln 6, ln 6) ( ) (ln 6, 45 + 6 ln 6) ( ) (-ln 6, 10 + 6 ln 6) ( ) (ln 6, 45 - 6 ln 6) ( ) (45 + 6 ln 6, ln 6) 10) (a) Draw a diagram to show that there are two tangent lines to the parabola y = x 2 that pass through the point (0, -4). (b) Find the coordinates of the points where these tangent lines intersect the parabola. 12) Find a second-degree polynomial P such that the following conditions are met. P ( 4 ) = 9, P ' ( 4 ) = 3, P '' ( 4 ) = 3 14) Find a parabola of the form that has slope m 1 = 13 at x 1 = 11, slope m 2 = 8 at x 2 = 9 and passes through the point P(5,2) . 3.2 : 7, 9, 10 7) Find an equation of the tangent line to the curve at the given point. (Assume the tangent line form to be f(x) = mx + b .) m = b = 9) If h (2) = 3 and h '(2) = -3 , find the following. 10) Find equations of the tangent lines to the curve below that are parallel to the

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## This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

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Review_Set_C3 - Student's Name: MAC2311-17, Review Set for...

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