Question: Q. 2 (a) Find Lim H0.0) x+2x -y+2y CLO-1 (4) 2xy f(x.y)=+ x +y? (x, y) (0,0) (b) Check the continuity of = 0,

Q. 2 (a) Find Lim H0.0) x+2x -y+2y CLO-1 (4) 2xy f(x.y)=+

Q. 2 (a) Find Lim H0.0) x+2x -y+2y CLO-1 (4) 2xy f(x.y)=+ x +y? (x, y) (0,0) (b) Check the continuity of = 0, (x, y) = (0,0) CLO-1 (4) Q 3 (a) If u= sin .Show that x- CLO-2 (4) . (b). Calculate the directional derivative of the function $ = xy + yz'at the point (1, 1,1) in the direction of 31 + j-k CLO-2 (4)

Step by Step Solution

★★★★★

3.28 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Calculate the directional derivative of the function at the point (8, 8) in the direction (1, 1). f(x1,x2) = x1/3x2/3

Find a function whose derivative is (a) 2x (b) sin x (c) x2 + x + 1

If 2x 1

Lontoh and Semrau (1998) examined the effect of the copper concentration on the rate of methane (CH.) degradation by Methylosinus trichosporium OB36. A set of data from their work is tabulated below...

Lord Neuberger, Implications of Tort Law Decisions (Northern Ireland Personal Injury Bars Inaugural Conference, County Down, 13 may 2017) Justify this statement making specific reference to the...

Module 1 1. Which of the following is a necessary and sufficient condition for a function, f, to be continuous at the point c = 4? O lim f (I) does not exist. O lim f (z) = f(4). O f is defined on an...

SECTION 15.5 24. f (x, y) = sin(x - y), v= (1,1), P = (5, 6) 45. Use the geostrophi 25. f (x, y ) = tan-1 (xy), v = (1,1), P = (3,4) ern Hemisphere, winds together the isobars, 26. f (x, y ) = exy...

Calculus 3 Section 14.5 Reading Assignment: Directional Derivatives and Gradient Vectors I am suck with this question. Please help! Section 14.5 Reading Assignment: Directional Derivatives and...

1 Multivariable functions and vector geometry Due date and time: Wednesday, June 7th at 9:30 AM in lecture Please ensure that you have read and understood the document \"Homework Guidelines" on the...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

QUESTION 1. As stated in the section 87 of Public Financial Management Act 2016 (Act 921) write on the Composition, Functions and reporting of Audit Committee of a covered entity of any Public sector...

Consider a processing center that can be purchased at $25000 today and will have a 10 years of useful lifetime, in the end of which the processing center is expected to have a salvage value of $5000....

The Hope Manufacturing Co. uses a Raw and In Process (RIP) inventory account and expensed all conversion costs to the cost of goods sold account. At the end of each month, all inventories are...

Explain what stable data responding say about the environmental conditions under which it occurred. Identify (2) reasons why an investigator should be concerned about trends in the data that have no...

Healthcare information technology has been promoted by researchers, the government, and others as increasing the quality of patient care. How is this assumption supported? Provide a list and a...

During 2 0 2 2 Maxwell purchased 1 0 0 bonds of Malinois Inc. at par for $ 9 0 0 , 0 0 0 . Maxwell purchases debt securities expecting to ear profits on short - term differences in price and holds...

1XXXX XXXXX XXXXX XXXX5 XXX45 XX345 X2345 12345 1234X 123XX 12XXX 1XXXX Which of the following is the output generated by the code segment above? OA) Option A B) Option B C) Option C Option C X2345...

Write the given system without the use of matrices. D) - ()- d (x sin t + 8 (2+ 1)

A probability mass function for the class sizes at a small college is given in the table below (assume that these are the only allowed class sizes): Class sizeProbability 10 ............ 0.05 20...

Let X, Y, Z be (respectively) the number of nights that Alice, Bob, and Charlotte eat in the dining hall during a 7-day week. Assume that X, Y, Z are independent Binomial random variables that each...

Let X be uniform on [0, 10]. Let Y be exponential with E (Y) = 5. Find P (X

Dunn et al. (1999) also classified the phase II sample by gender. In the following table, the entries in columns 37 are the counts from the phase II sample in the categories: Male Non-Case (MNC),...

Optimal allocation for two-phase sampling with stratification. Suppose phase I is an SRS and phase II is a stratified random sample, and that the total cost for the sample is given in (12.15), where...

Bart and Earnst (2002) describe the use of two-phase sampling with ratio estimation to estimate the density of nesting birds. The phase I sample, selected from the 2130 plots in the region of...