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5th - triangle of side L if one side of the rectangle lies...

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RECITATION QUESTIONS MATH 119 (WEEK 5) 1. Use the guidelines of (s 4.5) to sketch the curve a ) y = x 4 + 4 x 3 b ) y = x 3 x 3 + 3 c ) y = x 5 - x d ) y = x tan x, - π 2 < x < π 2 2. Find the equation of the slant asymptote of the graph of y = x 2 + 1 x + 1 3. Show that the curve y = x 2 + 4 x has two slant asymptotes y = x + 2 and y = - x - 2.Use this fact to help sketch the curve. 4. Find the point on the line y = 4 x + 7 that is closest to the origin. 5. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral
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Unformatted text preview: triangle of side L if one side of the rectangle lies on the base of the triangle. 6. A cone with height h is inscribed in a larger cone with height H so that its vertex is at the center of the base of the larger cone.Show that the inner cone has maximum volume when h = 1 3 H ± 1...
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