(1) If x >0, find the equation of the line normal to y = (x + 3)^3 and qith slop
ID: 3289226 • Letter: #
Question
(1) If x >0, find the equation of the line normal to y = (x + 3)^3 and qith slope -1/75 . VIew the curve and noemal line on a graphic calculator . (simplify your answer. Do not factor . USe integers or fractions for any numbers in the expression.
(2) Find the equation of the tangent to the curve y = 5x/ x - 3 at ( 4, 20). Use the tangent feature of a graphing calculator to view the curve and the tangent line. (simplify your answer. Do not factor. Use
(3) Johnny is designing a rectangularposter to contain 27 in^2 of printing with a 3i-in margin at the top and bottom and a 4-in margin at each side . What overall dimensions will minimize the amount of paper used?( Simplify your answers. Usea comma to seperate answers.
Explanation / Answer
slope of normal=-1/75 so slope of tangent=75 y'=3(x+3)^2=75 so x =2 or x=-8 as x>0 x=2 and y=125 so equation of normal=y-125=75(x-2) y=75x-25 is equation of normal
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