Questions from College Mathematics


Q: Find y′ and the slope of the tangent line to the

Find y′ and the slope of the tangent line to the graph of each equation at the indicated point.

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Q: Refer to the equation in Problem 53. Find the equation(

Refer to the equation in Problem 53. Find the equation(s) of the tangent line(s) at the point(s) on the graph where y = -1. Round all approximate values to two decimal places. Equation from Problem 5...

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Q: The number x of fitness watches that people are willing to buy

The number x of fitness watches that people are willing to buy per week from an online retailer at a price of $p is given by x = 5,000 - 0.1p2 Use implicit differentiation to find dp/dx.

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Q: The number x of compact refrigerators that an appliance chain is willing

The number x of compact refrigerators that an appliance chain is willing to sell per week at a price of $p is given by Use implicit differentiation to find dp/dx.

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Q: In Problem 59, find dV/dL by implicit differentiation.

In Problem 59, find dV/dL by implicit differentiation. Data from problem 59: In biophysics, the equation (L + m) (V + n) = k is called the fundamental equation of muscle contraction, where m, n, and...

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Q: The equation / is Newton’s law of universal gravitation.

The equation is Newton’s law of universal gravitation. G is a constant and F is the gravitational force between two objects having masses m1 and m2 that are a distance r from each o...

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Q: Refer to Problem 62. Find dF/dr and discuss the

Refer to Problem 62. Find dF/dr and discuss the connection between dF/dr and dr/dF. Data from Problem 62: The equation is Newton’s law of universal gravitation. G is a constant and...

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Q: if it is possible to solve for y in terms of x

if it is possible to solve for y in terms of x, do so. If not, write “Impossible.” -4x2 + 3y + 12 = 0

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Q: if it is possible to solve for y in terms of x

if it is possible to solve for y in terms of x, do so. If not, write “Impossible.” 4y2 - x2 = 36

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Q: What is the probability that a number selected at random from the

What is the probability that a number selected at random from the first 60 positive integers is (exactly) divisible by 6 or 9?

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