Questions from College Mathematics


Q: (A) Is it possible to get 7 double 6’s in

(A) Is it possible to get 7 double 6’s in 10 rolls of a pair of fair dice? Explain. (B) If you rolled a pair of dice 36 times and got 11 double 6’s, would you suspect that the dice were unfair? Why o...

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Q: Refer to Problem 27. At what rate is the person’s shadow

Refer to Problem 27. At what rate is the person’s shadow growing when he is 20 feet from the pole? Data from Problem 27: A streetlight is on top of a 20-foot pole. A person who is 5 feet tall walks a...

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Q: A point is moving along the x axis at a constant rate

A point is moving along the x axis at a constant rate of 5 units per second. At which point is its distance from (0, 1) increasing at a rate of 2 units per second? At 4 units per second? At 5 units pe...

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Q: A point is moving on the graph of x3 + y2 =

A point is moving on the graph of x3 + y2 = 1 in such a way that its y coordinate is always increasing at a rate of 2 units per second. At which point(s) is the x coordinate increasing at a rate of 1...

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Q: Cost, revenue, and profit rates. Repeat Problem 33 for

Cost, revenue, and profit rates. Repeat Problem 33 for C = 72,000 + 60x R = 200x - x2 30 P = R - C where production is increasing at a rate of 500 calculators per week at a production level of 1,500 c...

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Q: Repeat Problem 35 for s = 50,000 - 20,

Repeat Problem 35 for s = 50,000 - 20,000e-0.0004x Data from Problem 35: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s = 60,000 - 40,...

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Q: The price p (in dollars) and demand x for microwave

The price p (in dollars) and demand x for microwave ovens are related by If the current price of $124 is increasing at a rate of $3 per week, find the rate of change (in ovens per week) of the deman...

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Q: Refer to Problem 38. Find the associated revenue function R(

Refer to Problem 38. Find the associated revenue function R(p) and the rate of change (in dollars per week) of the revenue. Data from Problem 38: The price p (in dollars) and demand x for microwave o...

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Q: The price p (in dollars) and demand x (in

The price p (in dollars) and demand x (in bushels) for peaches are related by x = 3p2 - 2p + 500 If the current price of $38 per bushel is decreasing at a rate of $1.50 per week, find the rate of ch...

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Q: Political campaign. Refer to Problem 43. If $20 million

Political campaign. Refer to Problem 43. If $20 million has been spent on television advertising and the rate of spending is $6 million per week, at what rate (in percentage points per week) will the...

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