Question: Show that the vector-valued function describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1)

Show that the vector-valued functionr(t) = (2i + 2j + k) + cost () () i


describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x + y - 2z = 2.

r(t) = (2i + 2j + k) + cost () () i + sin t -

Step by Step Solution

★★★★★

3.45 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To show that the vectorvalued function rt describes the motion of a particle moving in a circle of r... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Two-Dimensional Waves. A stretched string lies along the x-axis. The string is displaced along both the y- and z-directions, so that the transverse displacement of the string is given by Y(x, t) =...

Q:

The random vector (X, Y) is said to be uniformly distributed over a region R in the plane if, for some constant c, its joint density is (a) Show that 1/c = area of region R. Suppose that (X, Y) is...

Q:

1. The CFO of Diamonnds for You Corp. decides that the entity needs to recognize a provision of $500,000. The CFO anticipates this payment having to be made a year and a half from now. The current...

Q:

The position of a particle in the xy-plane at time t is r(t) = (t+ 1)i + (1" - 2) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and...

Q:

The position of a particle in the xy-plane at time t is r(t) = (t+ 1)i + (!" - 2)j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and...

Q:

I need help with this problem please, and please answer all parts of the problem. This one has 12 answers so I'm having a really hard time. Show that the vector-valued function shown below describes...

Q:

Having a hard time to get this started ! Show that the vector-valued function shown below describes the motion of a particle moving in a circle of radius 1 centered at the point (2,4,3) and lying in...

Q:

(38) (motion along a circle) show that show that the vector-valued fund 5 (t) = (2+2+ k) + cost 1 ( - , ) + sint ( / ^ + + 7 + / f ) 7 3 in the circle of radius x+y=27=2 describes the motion of a...

Q:

efore anything Thank you for even taking the time to answer this, God bless you and Happy Holidays!! Please summarize the following texts in bullet point form. make it as simple as possible with a...

Q:

Score: 0.33 of1 pt 4 10 of 11 (11 complete)v b HW Score 13.1.38 Show that the vector-valued function shown below describes the motion ofa particle moving in a circle of radius 1 centered at the point...

Q:

How are inventories presented in the income statements of Morning Java (ASPE), Leons Furniture Limited, and Shoppers Drug Mart Corporation? Is there additional information provided in the notes to...

Q:

Create a year-long budget check-off matrix to chart the following transportation related expenses: Fuel: monthly; Insurance: quarterly; Servicing: every three months; Car wash: bimonthly; Parking:...

Q:

Question 4 ( 1 point ) A convenience store owner is contemplating putting a large neon sign over his store. It would cost $ 5 0 , 0 0 0 , but is expected to bring an additional $ 2 4 , 0 0 0 of...

Q:

2. Describe the two types of collaboration and their characteristics

Q:

Write the number in polar form with argument between 0 and 2. 1 - 3i

Q:

Find the value of the sum.

Q:

Find the exact trigonometric ratios for the angle whose radian measure is given. 9/2

Q:

2. In what cases are medical insurance premiums paid by an individual not deductible as qualified expenses

Q:

On January 1, 2020, the Crane Company budget committee has reached agreement on the following data for the 6 months ending June 30.2020 Sales units Ending raw materials inventory: Ending finished...

Q:

On January 1, a company issued 7%, 15-year bonds with a face amount of $90million for $82,218,585 to yield 8%. Interest is paid semiannually. What wasinterest expense at the effective interest rate...