Question 1

Write inequalities to describe the solid upper hemisphere of the sphere of radius 5 centered at the origin.

Accepted Answer

The answer of Write inequalities to describe the solid upper...

Question 2

Find the length of the curve

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Question 3

Find parametric equations for the line through the point (3,4,5) that is parallel to the plane   and perpendicular to the line

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Question 4

Find the derivative of the vector function.

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Question 5

At what point on the curve   is the normal plane parallel to the plane   ?

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Question 6

Find the unit vectors that are parallel to the tangent line to the curve   at the point   .

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Question 7

Find the speed of a particle with the given position function.

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Question 8

Find parametric equations for the line through   and parallel to the vector

Accepted Answer

The answer of Find parametric equations for the line through...

Question 9

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

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Question 10

A woman walks due west on the deck of a ship at 6 mi/h.The ship is moving north at a speed of 20 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 11

Reduce the equation to one of the standard forms.

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Question 12

Write an inequality to describe the region consisting of all points between (but not on) the spheres of radius 9 and 11 centered at the origin.

Accepted Answer

The answer of Write an inequality to describe the region...

Question 13

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is 12 cm long. Find the magnitude of the torque about P correct to two decimal places.

Accepted Answer

The answer of A bicycle pedal is pushed by a...

Question 14

Find   .

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A)  90 
B)  27 
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B)  27 
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Question 15

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and 3 units to the right of it.

Accepted Answer

The answer of Write an inequality to describe the half-space...

Question 16

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

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Question 17

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 18

Calculate the angle between a and b (correct to the nearest degree).

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Question 19

Let   and let u be a vector with length 5 that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector   .

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Question 20

Find the volume of the parallelepiped with adjacent edges PQ,PR,and PS.

Accepted Answer

The answer of Find the volume of the parallelepiped with...

Write inequalities to describe the solid upper hemisphere of the sphere of radius 5 centered at the origin.

Find the length of the curve

Find parametric equations for the line through the point (3,4,5) that is parallel to the plane and perpendicular to the line

Find the derivative of the vector function.

At what point on the curve is the normal plane parallel to the plane ?

Find the unit vectors that are parallel to the tangent line to the curve at the point .

Find the speed of a particle with the given position function.

Find parametric equations for the line through and parallel to the vector

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

A woman walks due west on the deck of a ship at 6 mi/h.The ship is moving north at a speed of 20 mi/h.Find the speed of the woman relative to the surface of the water.Round the result to the nearest tenth.

Reduce the equation to one of the standard forms.

Write an inequality to describe the region consisting of all points between (but not on) the spheres of radius 9 and 11 centered at the origin.

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is 12 cm long. Find the magnitude of the torque about P correct to two decimal places.

Find .

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and 3 units to the right of it.

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

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

Calculate the angle between a and b (correct to the nearest degree).

Let and let u be a vector with length 5 that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector .

Find the volume of the parallelepiped with adjacent edges PQ,PR,and PS.

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: Ectors and the Geometry of Space

Write inequalities to describe the solid upper hemisphere of the sphere of radius 5 centered at the origin.

Find the length of the curve

Find parametric equations for the line through the point (3,4,5) that is parallel to the plane and perpendicular to the line

Find the derivative of the vector function.

At what point on the curve is the normal plane parallel to the plane ?

Find the unit vectors that are parallel to the tangent line to the curve at the point .

Find the speed of a particle with the given position function.

Find parametric equations for the line through and parallel to the vector

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

A woman walks due west on the deck of a ship at 6 mi/h.The ship is moving north at a speed of 20 mi/h.Find the speed of the woman relative to the surface of the water.Round the result to the nearest tenth.

Reduce the equation to one of the standard forms.

Write an inequality to describe the region consisting of all points between (but not on) the spheres of radius 9 and 11 centered at the origin.

A bicycle pedal is pushed by a foot with a force of a-N as shown.The shaft of the pedal is 12 cm long. Find the magnitude of the torque about P correct to two decimal places.

Find .

Write an inequality to describe the half-space consisting of all points to the left of a plane parallel to the xz-plane and 3 units to the right of it.

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

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

Calculate the angle between a and b (correct to the nearest degree).

Let and let u be a vector with length 5 that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector .

Find the volume of the parallelepiped with adjacent edges PQ,PR,and PS.

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