Question 1

Find the acceleration of a particle with the following position function.

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Question 2

Find the point at which the line given by the parametric equations below intersects the plane.

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Question 3

Find the length of the curve

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Question 4

Find an equation of the plane with x-intercept   , y-intercept   and z-intercept   .

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Question 5

Find the derivative of the vector function.

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Question 6

Find the cross product   .

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Question 7

A ball is thrown at an angle of   to the ground. If the ball lands   m away, what was the initial speed of the ball? Let   .

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Question 8

Find   .

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Question 9

Find an equation for the surface consisting of all points that are equidistant from the point   and the plane   .

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Question 10

The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   .

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Question 11

A woman walks due west on the deck of a ship at   mi/h. The ship is moving north at a speed of   mi/h. Find the speed of the woman relative to the surface of the water. Round the result to the nearest tenth.

Accepted Answer

The answer of A woman walks due west on the...

Question 12

Find   .

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Question 13

Find the equation of the line through   and perpendicular to the plane

Accepted Answer

The answer of Find the equation of the line through...

Question 14

Find the curvature of   .

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Question 15

Find the derivative of the vector function.

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Question 16

Find an equation of the set of all points equidistant from the points   and

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Question 17

Suppose you start at the origin, move along the x-axis a distance of   units in the positive direction, and then move downward a distance of   units. What are the coordinates of your position?

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Question 18

Find   .

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Question 19

Find   .

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Question 20

Find the curvature of the curve   .

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Find the acceleration of a particle with the following position function.

Find the point at which the line given by the parametric equations below intersects the plane.

Find the length of the curve

Find an equation of the plane with x-intercept , y-intercept and z-intercept .

Find the derivative of the vector function.

Find the cross product .

A ball is thrown at an angle of to the ground. If the ball lands m away, what was the initial speed of the ball? Let .

Find .

Find an equation for the surface consisting of all points that are equidistant from the point and the plane .

The curvature of the curve given by the vector function is Use the formula to find the curvature of at the point .

A woman walks due west on the deck of a ship at mi/h. The ship is moving north at a speed of mi/h. Find the speed of the woman relative to the surface of the water. Round the result to the nearest tenth.

Find .

Find the equation of the line through and perpendicular to the plane

Find the curvature of .

Find the derivative of the vector function.

Find an equation of the set of all points equidistant from the points and

Suppose you start at the origin, move along the x-axis a distance of units in the positive direction, and then move downward a distance of units. What are the coordinates of your position?

Find .

Find .

Find the curvature of the curve .

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Partial Derivatives

Multiple Integrals

Vector Calculus

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Exam 10: Vectors and the Geometry of Space

Find the acceleration of a particle with the following position function.

Find the point at which the line given by the parametric equations below intersects the plane.

Find the length of the curve

Find an equation of the plane with x-intercept , y-intercept and z-intercept .

Find the derivative of the vector function.

Find the cross product .

A ball is thrown at an angle of to the ground. If the ball lands m away, what was the initial speed of the ball? Let .

Find .

Find an equation for the surface consisting of all points that are equidistant from the point and the plane .

The curvature of the curve given by the vector function is Use the formula to find the curvature of at the point .

A woman walks due west on the deck of a ship at mi/h. The ship is moving north at a speed of mi/h. Find the speed of the woman relative to the surface of the water. Round the result to the nearest tenth.

Find .

Find the equation of the line through and perpendicular to the plane

Find the curvature of .

Find the derivative of the vector function.

Find an equation of the set of all points equidistant from the points and

Suppose you start at the origin, move along the x-axis a distance of units in the positive direction, and then move downward a distance of units. What are the coordinates of your position?

Find .

Find .

Find the curvature of the curve .

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters