The parametric curve represented by x = e 2t + e -2t , y = e 2t
Question:
The parametric curve represented by x = e2t + e-2t, y = e2t – e-2t is valid for all t.
a. Find dy/dx and state the number of turning points.
b. Show that the second derivative with respect to x is - 4 e6t/(e4t – 1)3.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (13 reviews)
a To find dydx we can use the definition of the derivative which states that dy...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
If x = sin 2 t, y = cos 3 t is valid for 0 t 2, find the second derivative with respect to x in terms of t.
-
Find the number of turning points for each of the following curves. a. x 2 5/x + 3 b. y = x 2 + 5x 4/2x - 1
-
Establish a result for the first derivative with respect to x for the following functions. a. ay = sin -1 bx b. ay = tan -1 bx c. ay = sinh -1 bx d. ay = cosh -1 bx e. ay = tanh -1 bx
-
Express the given quantity in terms of sin x and cos x. sin 2 X
-
Corcoran Consulting is deciding which of two computer systems to purchase. It can purchase state-of-the-art equipment (System A) for $20,000, which will generate cash flows of $6,000 at the end of...
-
Given $100,000 to invest, what is the expected risk premium in dollars of investing in equities versus risk-free T-bills (U.S. Treasury bills) based on the followingtable? Probability Expected Return...
-
Named for the section of the 1978 Internal Revenue Code that authorized them, 401(k) plans permit employees to shift part of their before-tax salaries into investments such as mutual funds. Employers...
-
The Citrix Fund has invested in a portfolio of government bonds that has a current market value of $44.8 million. The duration of this portfolio of bonds is 13.5 years. The fund has borrowed to...
-
Given the following information, draw the precedence diagram. How many following tasks does Task B have? (slides 26-27, 29) Task Time(sec) Predecessor(s) 30 B 20 10 BD D 40 none A 30 BD 20 40 20 C....
-
Read figure below. It is a QDF analysis of chocolate chip cookies. Interrelationship between Technical Descriptors (correlation matrix) HOWS vs. HOWS +9 Strong Positive Positive +3 -3 X Negative -9 *...
-
You are given that Find, without using a reduction formula, a relationship between I 5 and I 3 . tan xdx.
-
Consider the function y = tanhx. a. By differentiating twice, show that y" = -2y + 2y 3 . b. Differentiate with respect to x up to y (5) and use this to determine the Maclaurin series of y = tanhx.
-
In Exercises find dy/dx and dy/dx 2 , and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations X = 4 cos 0, y = 4 sin 0 Parameter TT 0
-
Based on the case, Insights Analytics: Technology for a Knowledge Management Program attached . Please explain all 8 points. Explanation of each point should be 300words . Please attach the reference...
-
When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were...
-
What will be the output of the following code snippet? with open ("hello.txt", "w") as f: f.write("Hello World how are you today") with open('hello.txt', 'r') as f: data = f.readlines () for line in...
-
Assume that females have pulse rates that are normally distributed with a mean of p = 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c)...
-
The proposed rates were not in the range the CEO expected given the pricing analysis. The CEO has asked the pricing actuary to verify the total projected loss cost excluding potential large storm...
-
During the years from 2010 to 2016, the average annual growth rate of M1 was 10.3 percent, while the inflation rate as measured by the GDP deflator averaged 1.6 percent. Are these values consistent...
-
Consider a game of poker being played with a standard 52-card deck (four suits, each of which has 13 different denominations of cards). At a certain point in the game, six cards have been exposed. Of...
-
At 298.15 K, G f (HCOOH, g) = -351.0 kJ mol -1 and G f (HCOOH, l) 361.4 kJ mol -1 . Calculate the vapor pressure of water at this temperature.
-
In this problem, you will calculate the differences in the chemical potentials of ice and super cooled water, and of steam and superheated water, all at 1 atm pressure shown schematically in Figure...
-
Calculate the vapor pressure of a droplet of benzene of radius 1.25 10 8 m at 38.0C in equilibrium with its vapor. Use the tabulated value of the density and the surface tension at 298 K from...
-
can anyone help find a news article discussing a corporations use of debt financing? Often times the financial news media will report when a company chooses to issue new bonds or take new loans.
-
a canadian investor puts money into an australian investment that offers an interest rate of 5% for six minths. The australian dollar appreciates by 6% over this period of six months. What is the...
-
Los siguientes datos corresponden a las operaciones de Turk Company el ao pasado: Ventas $ 900 000 Utilidad operativa neta $ 36 000 Margen de contribucin $ 150 000 Activos operativos promedio $ 180...
Study smarter with the SolutionInn App