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The cost function to produce q electric cars is given by C(q)= -10q^2 + 250q. The demand equation is given by p= -q^2 - 3q + 299, where p is the price in dollars.
Find and simplify the profit function.
Determine the time it takes the ball to reach its maximum height:
What are rational expressions? Why must we always be mindful of the final value of the denominator in a ration expression? For example, consider the rational expression 3x(x^2-16). What values in the denominator must be we be mindful of? Explain w..
What is the largest possible total area of the three pens? Note: The answer to this problem requires that you enter the correct.
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
a spherical balloon is to be felated so that the radius decreases at a rate of 3ft^3/min. How fast is the diameter of the balloon decreasing when the radius is 1ft?
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?"
bounded above by a parabola and below by the arc of a circle find the equations for the parabola and circle
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
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