precalc 3.8 day 2.notebook

precalc 3.8 day 2.notebook
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3.8 Implicit Differentiation cont.
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For x2 + y2 = 100, find
d 2y
dx2
1. Find the equation of the center, vertices, and foci of (x + 3)2 ­ 100(y ­ 2)2 = 100
2. A baseball player hit a baseball with an initial velocity of 160 ft/sec at an angle of 40 degrees to the horizontal. The ball was hit at a height of 5 feet off the ground. Write the parametric equations that describe the motion of the ball. What is the horizontal distance that the ball travels?
Find the equation to the tangent line to
For y2 = 9x, find
d2y
dx2
the curve √x + √y - 1 = y at (9,4)
precalc 3.8 day 2.notebook
Find the points where the curve
25x2 + 16y2 +200x - 160 y + 400 = 0 has
horizontal and vertical tangents.
Find the equation to the normal line to
the curve (x2 + y2)2 = 4x2y at (1, 1)
WS 8.3B Implicit Differentiation
precalc 3.8 day 2.notebook
WS 8.3B Implicit Differentiation
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11. Find the points where the curve x2 + 4y2 ­ 4x +16y +4 = 0 has horizontal and vertical tangents