For the curve given by r(t) = (sin 3 t, cos 3 t, sin 2 t), 0
Question:
For the curve given by r(t) = (sin3t, cos3t, sin2t), 0 < t < y2, find
(a) The unit tangent vector,
(b) The unit normal vector,
(c) The unit binormal vector, and
(d) The curvature.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a rt sin t cos t sin t r t 9 sin4 t cos t 9 cos4 t sin t 4 sin t cos t sin t cos t 9 sint 9 cos t 4 ...View the full answer
Answered By
OTIENO OBADO
I have a vast experience in teaching, mentoring and tutoring. I handle student concerns diligently and my academic background is undeniably aesthetic
4.30+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The president of a company predicts that sales will increase after she assumes office and that the number of monthly sales will follow the curve given by N = 3000(0.2)0.6t, where t represents the...
-
A recently released film has its weekly revenue given by R (t) = 50t / t2 + 36, t 0 where R(t) is in millions of dollars and t is in weeks. (a) Graph R(t). (b) When will revenue be maximized? (c)...
-
Find the velocity, speed, and acceleration of the motion given by r(t) = [5 cos t, sin t, 2t) at the point P; [5/2, 1/2, /2]. What kind of curve is the path?
-
The _________ is a checklist that is best suited for property and tangible asset tracking. Perils analysis Industry list List of assets The activity list
-
Neil Diamond Brokers, Inc., reported earnings per share of $4.00 and paid $.90 in dividends. What is the payout ratio?
-
Find the inverse of each matrix in Problem if it exists. 1 1 0 -1 0 1 1 -1 2.
-
In December 2008, Jason Garcia signed a motor vehicle sales contract with Mac Haik Dodge Chrysler Jeep, a dealer. In the contract, Garcia agreed to purchase a 2009 Dodge Ram 1500. The contract...
-
Reconstructing the income statement and balance sheet (Adapted from a problem by Stephen A. Zeff) Portobello Co., a retailer, is in its 10th year of operation. On December 28, 2008, three days before...
-
5. Consider uniform, inviscid, supersonic flow exhausting from a rocket engine nozzle. For fixed back pressure p (i.e., the ambient pressure outside the nozzle), qualitatively draw the first few wave...
-
The shareholders equity section of Cadmium Corporation as at December 31, 2020, follows: 8% cumulative preferred shares, 100,000 shares authorized, 80,000 shares outstanding...
-
Reparametrize the curve r(t) = e t i + e t sin t j + e t cos t k with respect to arc length measured from the point (1, 0, 1) in the direction of increasing t.
-
Find the curvature of the ellipse x = 3 cos t, y = 4 sin t at the points (3, 0) and (0, 4).
-
How do product designers gauge the environmental impacts of their product designs?
-
Work in Process Aug. 1 Balance 269,900 Aug. 31 Goods finished 136,600 31 Direct materials X 31 Direct labor 44,000 31 Factory overhead X Factory Overhead Aug. 1 31 Costs incurred 99,500 Aug. 1...
-
a) Write MARIE code to perform the following pseudocode excerpt. Input a value for x Input a value for y if(x > y) max= x; else max=y; Output the value of max b) Provide a screenshot of the...
-
Allison Boone Case Discount rates Proposal 1 Proposal 2 Proposal 3 Proposal 1 Proposal 2 Proposal 3 6% 11% 300,000 a year for the next 20 years, then 500,000 a year for next 20 years Lump sum of $5...
-
Given u = i +2j k, v = 2i + 3k, w = (a) Find v x w -7j - 4k. (a) (b) Can u be on the same plane as v and w? Be sure to explain your reasoning. (Hint: use dot product)
-
2. Write a program named LastNamePhone that asks the user for their phone number in the form XXX-XXX-XXXX, and determines whether or not the number is real (not enough or too many digits) or if it...
-
When people visit the local tanning salon, they absorb photons of ultraviolet (UV) light to get the desired tan. What are the frequency and wavelength of a UV photon whose energy is 5.9 10-19 J?
-
What is the mode?
-
Let f(x) = (a + x) x , where a > 0. a. What is the domain of f (in terms of a)? b. Describe the end behavior of f (near the left boundary of its domain and as x). c. Compute f'. Then graph f and f',...
-
Locate the critical points of the following functions and use the Second Derivative Test to determine (if possible) whether they correspond to local maxima or local minima. p(t) = 2t 3 + 3t 2 - 36t
-
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g = -9.8 m/s 2 ....
-
1. Consider the following pseudocode. What does it produce? Set a = 0 Set b = 0 Set c = 1 Set d = 1 Report the value of d Repeat until a equals 10 Set d = b + c Set b = c Set c = d Add 1 to a Report...
-
3. It has been observed that a particular plant's growth is directly proportional to time. It measured 2 cm when it arrived at the nursery and 2.5 cm exactly one week later. If the plant continues to...
-
List four equivalent forms for the rational expression. x-2 x+9
Study smarter with the SolutionInn App