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Solve the given problems.
A force P (in lb) at an angle θ above the horizontal drags a 50-lb box across a level floor. The coefficient of friction between the floor and the box is constant and equals 0.20. The magnitude of the force P is given by
Find θ such that P is a minimum.
At a selling price of $ 61 , a lamp company breaks even on total sales of $ 3355 . If the company's overhead is $ 495 , find the marginal production cost per lamp and find the profit on sales of 123 lamps.
Mathematicians say that division by zero is forbidden. The expression 5/0, for example, is undefined. "Undefined" in this sense means "unable to be determined". Why is this?
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
Explain in your own words what the author of your textbook means by the statement, “If you add percents, you often obtain incorrect results.” Determine other kinds of errors that can contribute to inaccurate percent results.
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
Let f be a differentiable function on an interval of the form (a, +∞). Prove that if there is a number r not equal to 0 such that limx→∞(rf′(x) + f(x)) = L is finite, then limx→∞ f′(x) = 0 and limx→∞ f(x) = L. Hint: apply L'Hˆopital's Rule to [e..
Kendra pawned her guitar for $100. Her guitar was valued at $150. If Kendra paid the pawnbroker $150. to get her guitar back after one month, what annual percent interest rate did she end up paying?
What price should you set to maximize revenue? Consider the following profit function: Π(q) = -q2 + 6q + 100. For what values of q will you breakeven?
How would you explain the difference between the method used for graphing a function from how to determine the domain and range from the graph of a function?
airline overbooking is a common practice.nbsp due to uncertain plans many people cancel at the last minute or simply
Classify the groups of order 35 up to isomorphism.
Suppose someone offers to pay you $100 if you draw 3 cards from a standard deck of 52 cards and all the cards are clubs. What should you pay for the chance to win
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