Questions from General Calculus


Q: Find a vector equation and parametric equations for the line.

Find a vector equation and parametric equations for the line. The line through the point (0, 1 4, -10) and parallel to the line x = -1 + 2t, y = 6 - 3t, z = 3 + 9t

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Q: Find a vector equation and parametric equations for the line.

Find a vector equation and parametric equations for the line. The line through the point (1, 0, 6) and perpendicular to the plane x + 3y + z = 5

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Q: (a). Find and identify the traces of the quadric surface

(a). Find and identify the traces of the quadric surface x2 + y2 - z2 = 1 and explain why the graph looks like the graph of the hyperboloid of one sheet in Table 1. (b). If we change the equation in p...

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Q: (a). Find and identify the traces of the quadric surface

(a). Find and identify the traces of the quadric surface 2x2 - y2 + z2 = 1 and explain why the graph looks like the graph of the hyperboloid of two sheets in Table 1. (b). If the equation in part (a)...

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Q: Use traces to sketch and identify the surface. x =

Use traces to sketch and identify the surface. x = y2 + 4z2

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Q: Use traces to sketch and identify the surface. 4x2 +

Use traces to sketch and identify the surface. 4x2 + 9y2 + 9z2 = 36

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Q: Draw a diagram to show that there are two tangent lines to

Draw a diagram to show that there are two tangent lines to the parabola that y = x2 pass through the point (0, -4). Find the coordinates of the points where these tangent lines intersect the parabola....

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Q: Use traces to sketch and identify the surface. x2 =

Use traces to sketch and identify the surface. x2 = 4y2 + z2

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Q: Use traces to sketch and identify the surface. z2 -

Use traces to sketch and identify the surface. z2 - 4x2 - y2 = 4

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Q: Differentiate the function. f (x) = ln(

Differentiate the function. f (x) = ln(sin2x)

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