Prove that if (x, y, z) is homogeneous of degree n, then Let F(t) = (tx, ty,
Question:
Prove that if ƒ(x, y, z) is homogeneous of degree n, then
Let F(t) = ƒ(tx, ty, tz) and calculate F'(1) using the Chain Rule.
Transcribed Image Text:
af + x af af z +2 =nf
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
We use the Chain Rule to differentiate the function Ft ftx ty tz with respect ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
If f satisfies (40) for all x, it is homogeneous of degree k. Euler's theorem can be thought of as a multidimensional extension of the rule for the derivative of a power function (example 4.15). Two...
-
Prove that if (x, y, z) is homogeneous of degree n, then x (x, y, z) is homogeneous of degree n 1. Either use the limit definition or apply the Chain Rule to (x, y, z).
-
If a differentiable functional f is homogeneous of degree k, its partial derivatives are homogeneous of degree of k - 1.
-
Use the following information for Questions 1 a) and 1 b): a) At the beginning of the year, Juju Sdn. Bhd. estimated the following: Polishing Department Overhead Direct labour hours Kiln hours Firing...
-
The indicator dilution method is a technique used to determine flow rates of fluids in channels for which devices like rotameters and orifice meters cannot be used (e.g., rivers, blood vessels, and...
-
Why are statement users interested in financial summaries covering several years? What is the primary limitation of long-term summaries?
-
Air flows though the mitered bend shown in Fig. P8.57 at a rate of \(5.0 \mathrm{cfs}\). To help straighten the flow after the bend, a set of 0.25-in.-diameter drinking straws is placed in the pipe...
-
Multnomah Manufacturing estimated that its total payroll for the coming year would be $540,000. The workers compensation insurance premium rate is 0.2%. REQUIRED 1. Calculate the estimated workers...
-
You will receive 13 payments of $535, where the first payment will be received today (Month 0) and all other payments will be received in 10-month intervals (Months 10, 20, 30 ... 120). Assume that...
-
Verify Eq. (11) for the functions in Exercise 44. Data From Exercise 44 A function (x, y, z) is called homogeneous of degree n if (x, y, z) = n (x, y, z) for all R. Show that the following...
-
A function (x, y, z) is called homogeneous of degree n if (x, y, z) = n (x, y, z) for all R. Show that the following functions are homogeneous and determine their degree: (a) f(x, y, z) = xy + xyz...
-
During August, Wilson Lubricant completed 31,000 gallons of product. At the start of August there were 4,500 gallons in Work in Process, and at the end of August, there were 7,000 gallons in Work in...
-
Describe the construction and working of a centre lathe.
-
Describe the various milling operations.
-
Describe the main parts of a slotting machine.
-
How a slotter is specified?
-
Describe various types of slotters in brief.
-
What is the plug factor in a financial model?
-
For liquid water the isothermal compressibility is given by; where r and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from I to 500 bar at 60(C. how...
-
Two fair dice are rolled. Determine the probability that the sum of the two dice is 7.
-
Two fair dice are rolled. Determine the probability that the sum of the two dice is 11.
-
Two fair dice are rolled. Determine the probability that the sum of the two dice is 3.
-
On December 1, Jasmin Ernst organized Ernst Consulting. On December 3, the owner contributed $85,050 in assets in exchange for its common stock to launch the business. On December 31, the company's...
-
Bogut Company estimates that annual manufacturing overhead costs will be $1,500,000. Estimated annual operating activity bases are direct labor cost $300,000, direct labor hours 15,000, and machine...
-
Performance Products Corporation makes two products, titanium Rims and Posts. Data regarding the two products follow: Direct Labor- Hours per unit Rims Posts 0.70 0.70 Annual Production 26,000 units...
Study smarter with the SolutionInn App