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...
-
Prepare the following adjusting entries at August 31 for Walgreens. (a) Interest on notes payable of $400 is accrued. (b) Fees earned but unbilled total $1,400. (c) Salaries earned by employees of...
-
John is considering the purchase of a lot. He can buy the lot today and expects the price to rise to $\$ 15,000$ at the end of 10 years. He believes that he should earn an investment yield of $10 \%$...
-
On August 1, 2016, Rafael Masey established Planet Realty, which completed the following transactions during the month: a. Rafael Masey transferred cash from a personal bank account to an account to...
-
Hemingway Company purchases equipment by issuing a 7-year, $280,000 non-interest-bearing note, when the market rate for this type of note is 8%. Hemingway will pay off the note with equal payments to...
-
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
-
Lewis Printing has projected its sales for the first 8 months of 2019 as shown in the table below. Lewis collects 20 percent of its sales in the month of the sale, 50 percent in the month following...
-
Discussion Board #2: Which "D" are you in a group task situation? 44 Chapter Three describes four types of communication styles known as the Four D's. These general communication styles can be seen...
-
What are common areas for work in community areas to have room for improvement on? Identify why each factor is important; Communication methods Community participation Allocation of resources and...
-
Each of the following statements violates at least one of the criteria for effective supporting materials discussed in this chapter. Identify the flaw (or flaws) in each statement. In the words of...
-
Each of the following statements violates at least one of the criteria for effective supporting materials discussed in this chapter. Identify the flaw (or flaws) in each statement. According to a...
-
Suppose Katy borrowed some amount of money for 100 weeks and Anastasia borrowed the same amount. Katy's loan used the simple interest model with an annual rate of 9.3% while Anastasia's loan used the...
-
Is conflict always unhealthy? Why or why not?
-
Dan and Diana file a joint return. Dan earned $31,000 during the year before losing his job. Diana received Social Security benefits of $5,000. a. Determine the taxable portion of the Social Security...
-
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
-
1. As an Austrian-Thai company, Red Bull has done a remarkable job of positioning itself internationally by coming across as a local company in every country where Red Bull is sold. Would you be more...
-
(24 Pts - 2 Pts Each) Convert the following Values to the other bases. a. Hexadecimal Binary b. 5E.B16 C. 437.616 d. e. f. g. 1100.1101116 Decimal 111001.0010010116 534.2510 727.2539062510
-
Assume that the market for Red Onions is perfectly competitive. The typical firm is earning positive economic profit in the short- run equilibrium. (a) Draw a correctly labeled graph for the typical...
Study smarter with the SolutionInn App