For Exercises 67-70, Use the chain Rule to differentiate each function. You may need to apply the more than once.
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With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans.
Is the function from part (a) increasing or decreasing? How do you know?
Mia bought a used car for $9,500. It is expected that the value of the car will decrease by an average of $750 each year. Which function can be used
to find the value of the car in x years after Mia purchased it?
O f(x) = - 9500(x- 750)
O f(x) = - 750(x +9500)
O f(x) = 9500 + 750x
O f(x) = 9500 - 750x
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The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month.
Part A: Write expressions for f(x) and g(x) that represent each products sales.
Part B: what is the solution to the system?
Part C: what does the solution represent?
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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