A curve is given as xy = , where , are constants. a. Find dy/dx
Question:
A curve is given as xyα = β, where α, β are constants.
a. Find dy/dx
b. Show that d2y/dx2 = y(1 + α)/α2x2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 37% (8 reviews)
The equation of curve given is xy 1 a Different...View the full answer
Answered By
MD WASEEM AKRAM
Being an engineer I can understand the importance of Mathematics in every aspect of life in a better way. I have been in teaching profession for almost 7 years and students have given positive feedback all through these years, that encourages me to work harder on my skill and impart knowledge of Mathematics in most possible lucid manner to my students.
During my teaching career I have taught mathematics to wide range of students spanning over various boards like IGCSE,IB,CBSE,ICSE etc. I have prepared students for competitive exams like SAT, IIT-JEE.
So I believe I can make my students learn Mathematics in a most simplified form at the same time will make it interesting.
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
-
A curve is given as y = 6x2 + x -6/2x -1. Write the curve in the form y = Ax + B + C /2x 1 and state the questions of the asymptotes.
-
A curve is given as f(x) = x 2 x 5/x 3. Find the equations of the asymptotes of the curve. Sketch the curve- Hence, or otherwise, sketch the curve 1/f(x). State the equations of the vertical...
-
The equation of a curve is given as y = x 2 + x/x + 1, where A is a constant. a. Given that one of the asymptotes is y = x + 2, find the value of A. b. State the other asymptote and sketch the curve.
-
Find the derivative of the function. y = e 2x tan 2x
-
You recently went to work for Allied Components Company, a supplier of auto repair parts used in the after-market with products from Daimler, Chrysler, Ford, and other automakers. Your boss, the...
-
2. As shown in the figure above a person whose eye level is 5 feet above the ground stands on the top of a hill overlooking a valley. The shape of the valley is modeled by the graph of f(x) = 50...
-
Explain what is meant by the term qualifying asset in the context of foreign currency transactions. Describe the accounting treatment for exchange differences that relate to qualifying assets.
-
Yemi??s Drug Store has four employees who are paid on an hourly basis plus time-and a- half for all hours worked in excess of 40 a week. Payroll data for the week ended February 15, 2012, are shown...
-
123456 7 8 Define plant location. Define product layout and process layout. What are the methods of production? Define work study. What do you mean by method study and time study? Explain inventory...
-
a. Using the DOT PROJECT Table, describe an example that illustrates the insertion anomaly. b. Using the DOT PROJECT Table, describe an example that illustrates the deletion anomaly. c. Using the DOT...
-
The parametric curve x = t 2 + t, y= In t is valid for t > 0. a. Show that there are no turning points. b. Show that the second derivative with respect to x is 4t + 1/t 2 (2t + 1) 3
-
You are given the function f(x) = cot -1 x. a. Find the Maclaurin series for f(x), giving the first four non-zero terms. b. Use your result from part a to find the series for 1/1 + x 2 , also giving...
-
Use indirect proof to prove that the following statements are tautologies. (A B) (A ~ B)
-
Why are quantitative skills so valuable in business disciplines? How important do you think quantitative skills will be in your career? Explain.
-
The following information is available from the current period financial statements: Net income Depreciation expense Increase in accounts receivable Decrease in accounts payable $175,000 28,000...
-
You run a regression of Nvidia Corporation's (NVDA) excess stock return on the S&P 500 excess return and obtain a slope coefficient (beta) of 1.38. If NVDA's annual volatility is 40% and the S&P 500...
-
For each data set, find the mean, median and mode. 1. 7, 8, 9, 10, 37, 6, 2 2. 90, 95, 80, 65, 50, 60, 65, 85 3. 10, 11, 11, 12, 12, 13, 14, 15, 20
-
Why is a marketing strategy crucial for a business? What is it?
-
The escape speed from Earth is 11.2 km/s, but that is only the minimum speed needed to escape Earth's gravitational pull; it does not give the object enough energy to leave the solar system. What is...
-
What is your assessment of the negotiations process, given what you have studied? What are your recommendations for Mr. Reed? You must justify your conclusions
-
Ratcliffe and Chao [Canadian Journal of Chemical Engineering 47 (1969): 148] obtained the following tabulated results for the variation of the total pressure above a solution of isopropanol (P * 1 =...
-
At a given temperature, a nonideal solution of the volatile components A and B has a vapor pressure of 795 Torr. For this solution, y A = 0.375. In addition, x A = 0.310, P * A = 610. Torr, and P * B...
-
You boil an ethanolbenzene mixture with x ethanol = 0.35. What is the composition of the vapor phase that first appears? What is the composition of the last liquid left in the vessel?
-
Question 1. Consider the problem from the previous assignment, in which you are designing a control software for a robot that moves packages ariving via automated lines. The number of packages that...
-
As most of you know, commercial transport planes cruise at an altitude of approximately 10,000 m (-33,000 ft). The power required to maintain level flight depends on air drag, or resistance at that...
-
4. Carry out a sensitivity analysis of the assumptions in this report. Using "what-if" scenarios, evaluate how changing the assumptions such as the selling price, capital costs, or rents may impact...
Study smarter with the SolutionInn App