Questions from General Calculus


Q: (a). Prove that the midpoint of the line segment from

(a). Prove that the midpoint of the line segment from P1(x1, y1, z1) to P2(x2, y2, z2) is (b). Find the lengths of the medians of the triangle with vertices A (1, 2, 3), B (-2, 0, 5), and C (4, 1, 5...

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Q: Find an equation of a sphere if one of its diameters has

Find an equation of a sphere if one of its diameters has endpoints (5, 4, 3) and (1, 6, -9).

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Q: Find a unit vector that has the same direction as the given

Find a unit vector that has the same direction as the given vector. 6, −2

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Q: Find a unit vector that has the same direction as the given

Find a unit vector that has the same direction as the given vector. -5i + 3j - k

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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 = 5

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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. y = 22

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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. y < 8

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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. z > - 1

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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. 0 < z < 6

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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. y2 = 4

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