Questions from Calculus


Q: Find an equation of the line that passes through the point and

Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Point: (-3, 0) Slope: m = - 2/3

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Q: There are two tangent lines from the point (0, 1

There are two tangent lines from the point (0, 1) to the circle x2 + (y + 1)2 = 1 (see figure). Find equations of these two lines by using the fact that each tangent line intersects the circle at exac...

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Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. f(x) = x + √4 − x2

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Q: Find an equation of the line that passes through the point and

Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Point: (5, 4) Slope: m = 0

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Q: Find the slope and the y-intercept (if possible)

Find the slope and the y-intercept (if possible) of the line. y – 3x = 5

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Q: Find the slope and the y-intercept (if possible)

Find the slope and the y-intercept (if possible) of the line. 9 - y = x

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Q: Sketch the graph of the equation. y = 6

Sketch the graph of the equation. y = 6

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Q: Find any intercepts. /

Find any intercepts.

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Q: Sketch the graph of the equation. x = -3

Sketch the graph of the equation. x = -3

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Q: Sketch the graph of the equation. y = 4x –

Sketch the graph of the equation. y = 4x – 2

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