Use a graphing utility to make a table showing the values of (x, y) at the given
Question:
Use a graphing utility to make a table showing the values of ƒ(x, y) at the given points for each path. Use the result to make a conjecture about the limit of ƒ(x, y) as (x, y) → (0, 0). Determine analytically
whether the limit exists and discuss the continuity of the function.
Transcribed Image Text:
f(x, y) = ху x² + y² Path: y = 0 Points: (1, 0), (0.5, 0), (0.1, 0), (0.01, 0), (0.001, 0) Path: y = x Points: (1, 1), (0.5, 0.5), (0.1, 0.1), (0.01, 0.01), (0.001, 0.001) N 2 2 Xx
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
xy fx y y Continuous except at 0 0 Path y 0 x y fx y 0 Pat...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use a graphing utility to make a table showing the values of (x, y) at the given points for each path. Use the result to make a conjecture about the limit of (x, y) as (x, y) (0, 0). Determine...
-
Use a graphing utility to make a table showing the values of (x, y) at the given points for each path. Use the result to make a conjecture about the limit of (x, y) as (x, y) (0, 0). Determine...
-
Use a graphing utility to make a table showing the values of (x, y) at the given points for each path. Use the result to make a conjecture about the limit of (x, y) as (x, y) (0, 0). Determine...
-
A random variable follows the continuous uniform distribution between 60 and 95. a. Calculate the following probabilities for the distribution: 1. P(x > 63) 2. P(x > 70) 3. P(x > 88) 4. P(x = 75) b....
-
The president of Floor Coverings Unlimited wants information concerning the relationship between retail experience (years) and weekly sales (in hundreds of dollars). He obtained the following random...
-
The design model for a new ship has a mass of \(10 \mathrm{~kg}\) and is tested in an experimental towing tank to determine its resistance to motion through the water at various speeds. The test...
-
Using specific examples, explain the concepts of inbound and outbound calls.
-
BONDS ISSUED AT FACE VALUE R & R Collectibles issued the following bonds: Date of issue and sale: .......April 1, 20-1 Principal amount: ...........$500,000 Sale price of bonds: ........100...
-
Let NI = ($100,000, $500,000) be a person's no insurance wealth bundle. The person has square root utility function: U(m) = m1/2. If the person is high risk her probability of loss is p = 0.20 and if...
-
Consider the function Sketch the graph of in the first octant and plot the point (3, 2, 1) on the surface. f(x, y) = 3 X -- 3 2
-
A function is homogeneous of degree n when (tx, ty) = t n (x, y). (a) Show that the function is homogeneous and determine n (b) Show that x x (x, y) + y y (x, y) = n(x, y). (x, y) = x - 3 2 + y 3
-
Factor the polynomials. x 5 - x 4 - 2x 3
-
Suppose that A. Solve for Z in terms of t, x, v and a. Z = at vt 3x vZ a = - B. Assume that x, v and a have the following units: What are the units of Z? t = [s] x = [m] v = [1/] a = 3xZ t C2 | 3 OF
-
The minimum speed required to leave a certain moon is 1.131 km/s. The acceleration due to gravity on this moon's surface is 1.170 m/s. What is this moon's mass relative to Earth's Moon? In other...
-
Based on the color observations, what PH range would bromocresol green be an appropriate indicator for? Would this pH range be appropriate for titrations of (a) strong acids by strong bases, (b) weak...
-
This is a simple programming assignment to implement insertion sort algorithm and to observe its worst- case, best-case, and average-case performance. The performance measurement is in terms of the...
-
Question 13 How much energy is dissipated by the 5 Ohms resistor in 12 sec? A B 9.6 x 10 J 80 J 4.0J 1.2 x 104 J 20V T 5 6N
-
If the rejected null hypothesis had five means, what are the possible mean comparisons?
-
A report from the college dean indicates that for the previous semester, the grade distribution for the Department of Psychology included 135 As, 158 Bs, 140 Cs, 94 Ds, and 53 Fs. Determine what kind...
-
Rose curves are characterized by equations of the form r = acos(n ) or r = asin( n ) a 0 . If a 0 is even, the rose has _______ petals; if n 1 is odd, the rose has____petals.
-
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 4
-
Transform polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r = 2
-
On January 1, 2007 Blue Company commenced its sales of gas stoves. Separate accounts were set up for installment and cash sales, but perpetual inventory record was not kept. Onthe installment sales a...
-
Should People Be Paid To Stay Healthy? After reading the article, Should People Be Paid To Stay Healthy? , which side do you stand on this issue? Is it ethical for businesses to reward or penalize...
-
Swiss Banks, like UBS and Credit Suisse, have a culture ofsecrecy for their depositors, and this culture has been supportedby Swiss government policy. What problems has this policy causedfor the...
Study smarter with the SolutionInn App