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.
1 DIRECTIONS: YOU MUST SHOW ALL WORK !!! 3 2 Numbers 1 – 4 f(x) = x + 6 x + 9 x 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? 3 Numbers 5 – 8 f ( x ) = x? 1 5. Intercepts:2 y - Intercept ______________________ x - Intercept(s) ______________________ 6. Asymptotes: Vertical Asymptotes ____________ Horizontal Asymptotes ____________ 7. First Derivative: f ‘ ( x ) = _____________________ 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: 2 R (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.) ...
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