Hello, I need this assignment to be completed by tomorrow at 11:30 pm. I need all working/steps taken for each answer to be shown correctly. Document Preview: 1 DIRECTIONS: YOU MUST SHOW ALL WORK !!!...

Hello,

I need this assignment to be completed by tomorrow at 11:30 pm. I need all working/steps taken for each answer to be shown correctly.

Document Preview:

1 DIRECTIONS: YOU MUST SHOW ALL WORK !!! 3 2Numbers 1 – XXXXXXXXXXf(x) = x XXXXXXXXXXx XXXXXXXXXXx 1. Intercepts: Y - Intercept ______________________ X - Intercept(s) ______________________ 2. First Derivative: f ‘ ( x ) = ____________________ Critical Numbers ______________________ Increasing intervals ______________ Decreasing intervals ______________ Relative Minimum Points _________ Relative Maximum Points ___________ 3. Second Derivative: f ‘’ ( x ) = ____________________ Critical Numbers _____________________ Concave Up intervals_______________ Concave Down intervals_____________ Inflection Point(s) ___________________ 4. Graph f(x) x? 3Numbers 5 – 8 f ( x ) = x? 15. Intercepts:2 y - Intercept ______________________ x - Intercept(s) ______________________ 6. Asymptotes: Vertical Asymptotes ____________ Horizontal Asymptotes ____________ 7. First Derivative: f ‘ ( x ) = XXXXXXXXXX_____________________ Critical Numbers ______________________ Increasing Interval(s) ____________ Decreasing Interval(s) _______________ Relative Minimum Point(s) ___________ Relative Maximum Point(s) _____________ 8. Graph f(x) 9. Company ABC found that the yearly revenue and cost can be modeled by the following functions of x where x is thousands of units: 2R (x) = 30 x – 0.5 x and C (x) = 20 x – 153 Find the number of units Company ABC must produce and sell to maximize the yearly profit and find the maximum yearly profit. Revenue, Cost , and Profit are in thousands of dollars. (Use the second derivative test to prove that you have a maximum.) ...

Solution

David answered on Dec 20 2021
Solution 1:
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For Y intercept:
Hence
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Hence Y intercept is 0
For X intercept:
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Hence
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Solution 2:
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Critical points:
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( )( )
Increasing:
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Decreasing:
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Relative maxima:
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Hence relative maxima occurs at x=-3
Relative Minima:
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Relative minima occurs at:
Solution 3:
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Critical numbers:
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Concave up:
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Concave down:
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Point of inflection is:
Solution 4:
Solution 5:
For Y intercept :
X=0
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For X intercept:
Y=0
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Solution 6:
Vertical asymptote:
Horizontal Asymptote:
Solution 7:
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SOLUTION.PDF