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Sample Question & Answer Of Algebra Homework Examples
MAT142 College Mathematics
Question:
Each assignment should be typed correctly and include sufficient work. Use correct calculus notation. All graphs must be drawn electronically. Blackboard contains directions for graphing with excel.
Car dealerships keep track of the amount it spends each month on advertising and their monthly revenue. The table below shows the advertising expenses and likely associated revenues.
a. Find a cubic polynomial to model the data.
b. Find the first derivative, and explain its meaning in terms of data.
c. Identify the relative extremes of the problem and explain their meaning.
d. Find the second variant and explain its meaning in terms of data.
e. Find the point at which diminishing returns are reached and explain its significance in terms of data.
Answer:
• a. The general cubic polynomial
y=ax +cx+
There are four unsolved questions
Using (5,150) = 150= 125a +25 b +5c +d………………………………. (1)
Using (7,200) = 200 =343a +49b +7c +d………………………………… (2)
Using (9,250) =250=729a +81b+9c +d…………………………………… (3)
Using (11,325) = 325= 1331a +121b+11c+d…………………………… (4)
From equation 1 and 2 we get 218a +24b +2c =50……………… (5)
From equation 2 and 3 we get 386a +32b +2c =50……………… (6)
From equation 3 and 4 we get 602a +40b +2c=75………………….. (7)
We get the following results by solving the equation 5, 6, 7, above
a=0.52
b=-10.92
c=99.47
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