SOLUTION: A rectangle is placed under the parabolic arch given by f(x)=27-3x squared by using a point (x,y) on the parabola, as shown. Write a formula for the function A(x) that gives the ar
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Question 92731This question is from textbook Algebra and Trigonometry
: A rectangle is placed under the parabolic arch given by f(x)=27-3x squared by using a point (x,y) on the parabola, as shown. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.
This question is from textbook Algebra and Trigonometry
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
area equals length*width ... in this case, x-dimension*y-dimension ... the y-dimension is f(x)
since the parabola is centered on the y-axis, the x-dimension is 2x ... so a=(f(x))*2x ... (27-3x^2)2x ... 54x-6x^3
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