If z = f (u, v), where u = xy, v = y/x, and f has continuous
Question:
If z = f (u, v), where u = xy, v = y/x, and f has continuous second partial derivatives, show that
Transcribed Image Text:
д?2 - y². ду? д?z a²z -4uv дz + 2v до дх? ди ду
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
Az z 0 Ju 22 z x2 J2 z 2 Thus y z Also x Az x Ju 2 z z v x2 x2 z Az u a2 z 2 since y xv y2 ...View the full answer
Answered By
Mehwish Aziz
What I have learnt in my 8 years experience of tutoring is that you really need to have a friendly relationship with your students so they can come to you with their queries without any hesitation. I am quite hardworking and I have strong work ethics. Since I had never been one of those who always top in the class and always get A* no matter what, I can understand the fear of failure and can relate with my students at so many levels. I had always been one of those who had to work really hard to get decent grades. I am forever grateful to some of the amazing teachers that I have had who made learning one, and owing to whom I was able to get some extraordinary grades and get into one of the most prestigious universities of the country. Inspired by those same teachers, I am to be like one of them - who never gives up on her students and always believe in them!
5.00+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
If cos(x/z) = 1 + x 2 y 2 + z 2 , find z/x and z/y.
-
Find the direction in which f (x, y, z) = ze xy increases most rapidly at the point (0, 1, 2). What is the maximum rate of increase?
-
Find the absolute maximum and minimum values of f on the set D. f (x, y) = 4xy 2 - x 2 y 2 - xy 3 ; D is the closed triangular region in the xy-plane with vertices (0, 0), (0, 6), and (6, 0)
-
Examine how effective change communication can reduce resistance in organization ? explain
-
What can they do about these dangers and difficulties?
-
In Problem without using a calculator, round to the nearest integer. (A) (B) 12 25 17
-
Using the variance data for Menounos Manufacturing Co., prepare an income statement through gross profit for the year ended December 31, 20Y6. Assume the company sold 3,000 units at $100 per unit.
-
Budgeted income statement. (CMA, adapted) Easecom Company is a manufacturer of videoconferencing products. Regular units are manufactured to meet marketing projections, and specialized units are made...
-
What output will be produced by the following code segment? int divide (double a, double b}{ } return (a/b); int main(){ double x=1.0, y = 4.0; cout < < divide(x, y); return 0; }
-
1. Woodbine had petitioned the INS to allow Filipinos as RNs, committing to pay them the same wages, but did not do so. What factors may have led to this failure? 2. Some of the Filipino RNs were...
-
The length x of a side of a triangle is increasing at a rate of 3 in/s, the length y of another side is decreasing at a rate of 2 in/s, and the contained angle is increasing at a rate of 0.05...
-
Find the gradient of the function f (x, y, z) = x 2 e YZ2 .
-
What is the purpose of an aging schedule?
-
9. A 36.0 kg box is being pulled by a person across a horizontal floor with a force F = 155 N that makes an angle 8 = 26.0 with the horizontal as shown in the figure. What is the magnitude of the...
-
The block in the figure below has a mass of 5.9 kg and it rests on an incline of angle 0. You then push on the block with a force of F=37 N, directed up the slope as shown. Assume the incline is...
-
A. If you approach this intersection while driving, do you or the pedestrian have the right of way? B. Explain why.
-
A. Describe at least two risky driving behaviors you observe in this picture. B. Choose one vehicle and explain what you would do differently.
-
A block of mass m = 2.40 kg is in equilibrium on an incline plane of angle = 27.0 when connected as shown in the diagram below. Spring Scale m 07 Assume the mass of the strings to be negligible. If...
-
The diffraction pattern shown in FIGURE 28-49 is produced by passing He-Ne laser light ( = 632.8 nm) through a single slit and viewing the pattern on a screen 1.50 m behind the slit. (a) What is the...
-
Solve each equation. x 3 - 6x 2 = -8x
-
Consider the following functions and express the relationship between a small change in x and the corresponding change in y in the form dy = f'(x) dx. f(x) = ln (1 - x)
-
Evaluate the following limits. lim x0+ cot x
-
Evaluate the following limits. Use lHpitals Rule when needed. lim In - - 1,
-
Construct appropriate tables or graphs to accurately display the results of the data analysis in the case study Maruti Suzuki India: Defending Market Leadership''. Include explanations of the meaning...
-
The telephone reservation department for a major car rental firm has the daily shift requirements for operators below: Day Su M Tu W Th F Sa Operators 4 8 8 7 7 6 5. Prepare a weekly workshift...
-
What need to be learned and applied from the past experiences to the new phenomena of pure drinking water in Egyptian Villages?
Study smarter with the SolutionInn App