Verify that the tractrix curve ( > 0) has the following property: For all t, the segment
Question:
Verify that the tractrix curve (ℓ > 0)
has the following property: For all t, the segment from c(t) to (t, 0) is tangent to the curve and has length ℓ (Figure 28).
Transcribed Image Text:
c(t) = (t - & tanh, & sech)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
Let P ct and Q t0 The slope of the segment PQ is m m dyy t dx x t c1 We compute the slope of the ...View the full answer
Answered By
Faith Mwange
First, as a way of developing your own understanding of a subject, building confidence explaining concepts and building experience, there is no better way to become a great teacher than to get stuck in and teach. And tutoring is a great starting point - no regulation or hoops to jump through, no boss telling you when you get something wrong, and you set your own level, choose your own students, rates and conditions. Don't claim you can teach something you can't, but just because you've never taught before doesn't mean you can't offer to tutor someone. If you don't think you're worth paying, maybe do some for free to start with, build up your confidence then start charging what you think you are worth.
I started tutoring while at university (always be at least a few years' study ahead of what you're teaching), and by the time I applied for my first teaching role I was able to point to years of experience tutoring qualifications and modules that most teachers don't get the chance to teach till they've been in the job at least a few years. An excellent way to build confidence, to shore up your own understanding of a topic and of how best to explain it, and a nice little earner on the side.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In Exercise 62 of Section 9.1, we described the tractrix by the differential equation Show that the parametric curve c(t) identified as the tractrix in Exercise 106 satisfies this differential...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-7. Ivan sold the following securities during the year and received a Form 1099-B that...
-
A travel softball team is trying to raise funds to go to the Colorado Sparkler, a major summer national tournament. The team is going to sell 3000 raffle tickets for $9 each. The prizes and their...
-
Explain briefly the tax treatment of (1) interest and dividends paid, (2) interest earned and dividends received, (3) capital gains, and (4) tax loss carry-back and carry-forward. How might each of...
-
A school district is in dire need to reduce expenses to meet new budgetary restrictions at its elementary schools. Two options are available: delete the physical education program (E), or delete the...
-
A 48-kg acrobat must jump high and land on his brother's shoulders. To accomplish this, she leaps from a crouched position to a height where her center of mass is \(1.60 \mathrm{~m}\) above the...
-
a. What was George Bushs margin of victory in Florida? b. Prepare a scatter plot showing the relationship between the number of votes received by Gore (X-axis) and Buchanan (Y-axis) in each county....
-
a) Money markets are used to trade debt securities and instruments with maturities of less than one year. Identify three characteristics of the money market. (6 marks) b) Explain four reasons for the...
-
Derive the formula for the slope of the tangent line to a parametric curve c(t) = (x(t), y(t)) using a method different from that presented in the text. Assume that x'(t 0 ) and y'(t0) exist and x'(t...
-
Use Eq. (11) to find the t-intervals on which c(t) = (t 2 , t 4 4t) is concave up.
-
The Cambridge Opera Association has come up with a unique door prize for its December (2013) fund-raising ball: Twenty door prizes will be distributed, each one a ticket entitling the bearer to...
-
Do you think that highly influential people gain power? In other words, are influence and power related?
-
Gaskin, Ohio is the home of Ransom College. Each August the population of the small village triples as the students return. When this happens, the traffic in the middle of town becomes congested and...
-
Analyze by slope-deflection and draw the shear and moment curves for the beam in Figure P10.3. Given: \(E I=\) constant. 20 kips 40 kips TT B 555 40 K 40 kip. ft
-
The purpose of interviewing is to do which of the following? a. Identify the criminal and obtain evidence b. Obtain leads and testimony c. Identify witnesses for trial d. All of the above.
-
Determine the reactions and all bar forces for the truss in Figure P9.34. \(E=29,000 \mathrm{ksi}\) and members \(A B\), \(B C, A D\), and \(D C\) have \(A=3\) in. \(^{2}\), and members \(B D, D E\),...
-
A distribution of numbers is approximately bell shaped. If the mean of the numbers is 125 and the standard deviation is 12, between what two numbers would approximately 68% of the values fall?...
-
Using Gauss-Jordan elimination, invert this matrix ONLY 0 0 0 0 1
-
Use Theorem 3.11 to evaluate the following limits. sin (x lim x2 x - 4 2) .2
-
Use Theorem 3.11 to evaluate the following limits. sin (x + 3) lim x-3 x + 8x + 15 .2 - 8 + 15
-
Find dy/dx for the following functions. y = sin x + cos x
-
When choosing to follow someone, what do you look for in that person? Does ones position define him or her as a leader? Why or why not? Support your definition through evidence and example.
-
A certain wire has a resistance of 9 7 Q . What is the resistance of a second wire, made of the same material, that is 1 / 4 as long and has 1 / 4 the diameter? A certain wire has a resistance of \ (...
-
A company has the following products in its ending Inventory. Compute lower of cost or market for inventory applied separately to each product Cost per Market per Product Quantity Unit Unit Product A...
Study smarter with the SolutionInn App