Questions from General Calculus


Q: Graph the function by starting with the graphs in Figures 13 and

Graph the function by starting with the graphs in Figures 13 and 14 and applying the transformations of Section 1.3 where appropriate. Figures 13: y = tan 2x

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Q: Graph the function by starting with the graphs in Figures 13 and

Graph the function by starting with the graphs in Figures 13 and 14 and applying the transformations of Section 1.3 where appropriate. Figures 13:

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Q: Convert from radians to degrees. (a). -7π

Convert from radians to degrees. (a). -7π/2 (b). 8π/4

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Q: Graph the function by starting with the graphs in Figures 13 and

Graph the function by starting with the graphs in Figures 13 and 14 and applying the transformations of Section 1.3 where appropriate. Figures 13: y = |sin x|

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Q: The points of intersection of the cardioid r = 1 + sin

The points of intersection of the cardioid r = 1 + sin θ and the spiral loop r = 2θ, -π/2 < θ < π/2, can’t be found exactly. Use a graphing device to find the approximate values of θ at which they in...

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Q: Prove the Law of Cosines: If a triangle has sides with

Prove the Law of Cosines: If a triangle has sides with lengths a, b, and c, and θ is the angle between the sides with lengths a and b, then [Hint: Introduce a coordinate system so that...

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Q: In order to find the distance |AB| across a small

In order to find the distance |AB| across a small inlet, a point C was located as in the figure and the following measurements were recorded: Use the Law of Cosines from Exercise 41 to find the requ...

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Q: Use the figure to prove the subtraction formula cos (α –

Use the figure to prove the subtraction formula cos (α – β) = cos α cos β + sin α sin β [Hint: Compute c...

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Q: Use the formula in Exercise 43 to prove the addition formula for

Use the formula in Exercise 43 to prove the addition formula for cosine (12b). Exercise 43: Use the figure to prove the subtraction formula cos (α – β) =...

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Q: Use the addition formula for cosine and the identities to prove the

Use the addition formula for cosine and the identities to prove the subtraction formula (13a) for the sine function.

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