Questions from College Mathematics


Q: Use implicit differentiation to find y′ and evaluate y′ at

Use implicit differentiation to find y′ and evaluate y′ at the indicated point.

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Q: find x′ for x = x(t) defined implicitly

find x′ for x = x(t) defined implicitly by the given equation. Evaluate x′ at the indicated point. x3 - tx2 - 4 = 0; (-3, -2)

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Q: Refer to the equation and graph shown in the figure.

Refer to the equation and graph shown in the figure. Find the slopes of the tangent lines at the points on the graph where x = 0.2. Check your answers by visually estimating the slopes on the graph i...

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Q: find the equation(s) of the tangent line(s

find the equation(s) of the tangent line(s) to the graphs of the indicated equations at the point(s) with the given value of x.

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Q: find the equation(s) of the tangent line(s

find the equation(s) of the tangent line(s) to the graphs of the indicated equations at the point(s) with the given value of x.

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Q: Explain the difficulty that arises in solving x3 + y + xey

Explain the difficulty that arises in solving x3 + y + xey = 1 for y as an explicit function of x. Find the slope of the tangent line to the graph of the equation at the point (0, 1).

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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: 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: In Problems a sample space S is described. Would it be

In Problems a sample space S is described. Would it be reasonable to make the equally likely assumption? Explain. A wheel of fortune has seven sectors of equal area colored red, orange, yellow, red, o...

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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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