Determine the area that is bounded by the graphs of the following equations on the interval below. (Round your answer to three d
ecimal places.) a. y = x2 + 5x, b. y = 10x + 50, c. −3 ≤ x ≤ 5
1 answer:
Answer:
A≅407.34 au (area units)
Step-by-step explanation:
we must find the area generated by equations a., b., and c. To do this we must graph and the areas and determine their points to evaluate
As seen in the graphs (1, 2) we have the area generated by equations a. b. and the limits within which the area should be evaluated are those determined by c.
Finally we find A (view graph 3)
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9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
