Question: At what points does the helix r(t) = k(in t, cos t, t) intersect the sphere x 2 + y 2 + z 2 =

At what points does the helix r(t) = k(in t, cos t, t) intersect the sphere x2 + y2 + z2 = 5?

Step by Step Solution

★★★★★

3.50 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Parametric equations for the helix are x sint y cos t ... 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:

At what points does the curve x = 2a cos t - a cos 2t y = 2a sin t - a sin 2t Here vertical or horizontal tangents? Use this information to help sketch the curve.

Q:

Figure 14 in section 2.1 shows the position s of an elevator as a function of time t. At what points does the derivative exist? Sketch the derivative of s. 30 40 1a I secnds)

Q:

At what points does the curve defined by x2 + 4y2 - 4x - 4 = 0 have (a) Horizontal tangents? (b) Vertical tangents?

Q:

At what points does the helix r(t) = (sin t, cos 1', t) intersect the sphere x2 + y2 + z2 = 5

Q:

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

Q:

multivariable calculus 1. [-/1 Points] DETAILS SCALCET9 13.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the vector function. (Enter your answer using interval notation.) r(t)...

Q:

multivariable calculus 1. [-/1 Points] DETAILS SCALCET9 13.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the vector function. (Enter your answer using interval notation.) r(t)...

Q:

Exercises for Seetlon 13.2 Plot the points in Exercises 14. I. (1,0,0) 3. (3, 71,5) 2. (0,2,4) 4. (2, l,1l) Complete the computations in Exercises 58. 5. (6, 0, 5) + (5, 0,6) '- 6. (0,0,0) + (0, 0....

Q:

Can you please help me with Section 3.7: 28, 37, 52, 72, and 73. Thanks so much!! :) SECTION 3.7 The Chain Rule 179 17. y = (x +9x)-2 18. y = (x)+ 3x + 9)-4/3 67. y = (203 + 3e-20 ) 68. y = cos(te-2)...

Q:

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Q:

At January 1, 2011, Clayton Hoists Inc. owed Third BancCorp $12 million, under a 10% note due December 31, 2012. Interest was paid last on December 31, 2009. Clayton was experiencing severe financial...

Q:

What is memory interference and what strategies can marketers use to deal with it?

Q:

Dividends in arrears: Multiple Choice Are reported in a note to the financial statements. Are reported in contributed capital. Are reported as a current liability. Are reported as a long-term...

Q:

What is the octet rule and why is it important?

Q:

Evaluate the integral. (1-8v + 16v7) dv

Q:

Evaluate the definite integral. (4x - 3x + 2x) dx J1

Q:

Evaluate the indefinite integral. fxx + 2 dx

Q:

Consider a standard 5-stage MIPS pipeline with full hazard detection and forwarding support. Lower- case letters indicate a stalled pipeline stage. Assuming that the only stalls shown are due to data...

Q:

16. Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step. a) z (w + x) + wxz + wxyz + wxyz b) y(xz + xz) + z (x + y) c) x(yz +...

Q:

Extra credit question (25 points) 3. While we have seen the popular version of Bayes theorem for calculating point estimates for conditional probabilities, the same equation can be used for...