3×2 + 7x +150 – 2x²
QUESTION
Find the equations of the asymptotes of g(x) =
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a) Vertical asymptote
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QUESTION 2
Management. The proft from the sale of x units of a product is P(x) = 1000 – 12 x + 10x2 – x3
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a) Find the number of units that leads to a maximum profit
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b) What is the maximum profit?
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QUESTION
Let 10) = 2x² - 6x² - 48 x +5
a) Show the First Derivative Test
. Find critical numbers
Di Graph sign diagram and show with arrows or signs where the function is increasing; where the function is decreasing.
Show in interval notation where the function is increasing or decreasing
o Find Relative maximum point (x,y), Relative minimum( x,y)
d) Show the Second Derivative Test:
el Graph sign diagram; Check with second derivative where is function concave up, where is concave down;
Winte in intervals notation where is the function concave up, where is the function concave down.
Find the Point(s) of Inflection
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QUESTION 3
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And he leatonsand values of all absolute extrema for f(x) = -x2 - 4x +5, [0,4) with domain as spesified
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QUESTION 4
A farmer has 700 meters of fencing material. He wants to enclose a rectangular field bordering a river, with no fencing along the river.
a) Write an expression for the length of the stage.
b) Find the area of the stage (aria = length x width)
c) Find the value of x leading to the maximum area.
d) Find the maximum Area
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