Questions from General Calculus


Q: Suppose that the cost (in dollars) for a company to

Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) = 2000 + 3x + 0.01x2 + 0.0002x3 (a) Find the marginal cost function. (b) Find Cā€™(100) and explain its...

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Q: Find the magnitude of the resultant force and the angle it makes

Find the magnitude of the resultant force and the angle it makes with the positive x-axis.

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Q: Describe in words the region of R3 represented by the equation(

Describe in words the region of R3 represented by the equation(s) or inequality. x2 + y2 + z2 = 4

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Q: Describe in words the region of R3 represented by the equation(

Describe in words the region of R3 represented by the equation(s) or inequality. x2 + y2 + z2 < 4

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Q: A woman walks due west on the deck of a ship at

A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direction of the woman relative to the surface of the water.

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Q: Describe in words the region of R3 represented by the equation(

Describe in words the region of R3 represented by the equation(s) or inequality. x = z

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Q: Is the line through (-2, 4, 0) and

Is the line through (-2, 4, 0) and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, -1, -8)?

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Q: Is the line through (-4, -6, 1)

Is the line through (-4, -6, 1) and (-2, 0, -3) parallel to the line through (10, 18, 4) and (5, 3, 14)?

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Q: (a). Draw the vectors a = 3, 2

(a). Draw the vectors a = 3, 2 , b = 2, āˆ’1 , and c = 7, 1 . (b). Show, by means of a sketch, that there are scalars s and t such that c = sa + tb. (c). Use the sketch to estimate the values of s an...

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Q: Find the angle between the vectors. (First find an exact

Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = 4, 3 , b = 2, āˆ’1

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