Show that the function is differentiable by finding values of 1 and 2 as designated
Question:
Show that the function is differentiable by finding values of ε1 and ε2 as designated in the definition of differentiability, and verify that both ε1 and ε2 approach 0 as (Δx, Δy) → (0, 0).
ƒ(x, y) = x² + y²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 44% (9 reviews)
fx y x y Az fx x y Ay x y x 2x...View the full answer
Answered By
Jinah Patricia Padilla
Had an experience as an external auditor in Ernst & Young Philippines and currently a Corporate Accountant in a consultancy company providing manpower to a 5-star hotel in Makati, Philippines, Makati Diamond Residences
5.00+
120+ Reviews
150+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that the function is differentiable by finding values of 1 and 2 as designated in the definition of differentiability, and verify that both 1 and 2 approach 0 as (x, y) (0, 0). (x, y) = xy
-
Show that the function is differentiable by finding values of 1 and 2 as designated in the definition of differentiability, and verify that both 1 and 2 approach 0 as (x, y) (0, 0). (x, y) = 5x...
-
Show that the function is differentiable by finding values of 1 and 2 that satisfy Definition 7. f (x, y) = x 2 + y 2
-
Design a disc brake with a double caliper. Each side of the disc has two 40-mm-diameter pads. The center of the brake pads is at a radius of 150 mm. The outside diameter of the disk is 360 mm. The...
-
Search Internet job sites. Try to gather 3 to 5 want ads that are for marketing research positions of some type. Comment on the salary ranges and expected qualifications listed in these ads.
-
PERT analysis computes the variance of the total project completion time as: a) The sum of the variances of all activities in the project. b) The sum of the variances of all activities on the...
-
Looking at Duncans analysis of the previous meeting, what issues/problems do you see that are of relevance to the activities of the sales force?
-
Winners Trophy Company produces a variety of athletic awards, most of them in the form of trophies. Its deluxe trophy stands 3 feet tall above the base. The companys direct materials standards for...
-
A steel penstock has a 750 mm outer diameter, a 12 mm wall thickness, and connects a reservoir at A with a generating station at B. Knowing that the density of water is 1000 kg/m^3, determine the...
-
Consider the function (a) v = i + j (b) v = -3i - 4j (c) v is the vector from (1, 2) to (-2, 6). (d) v is the vector from (3, 2) to (4, 5). f(x, y) = 3 X -- 3 2
-
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...
-
How are goods defined in the Sale of Goods Act? What types of personal property are not within the definition?
-
a. A divided rural multi-lane highway with an AADT of 60,000 vehicles per day. The peak hour factor is set at 0.8 and the directional factor, D is estimated at 0.8. The highway is required to provide...
-
Analyse the sources of finance for each of the two companies in 2020 as compared to 2019. Use two capital structure ratios to support your answer and provide an explanation regarding the changes in...
-
Use a graph to demonstrate the circumstances that would prevail in a perfectly competitive market where firms are experiencing economic losses. Identify costs, revenue, and the economic losses on...
-
ZIPBIT common stock is selling at a P/E of 19.5 times trailing earnings. The stock price is $26.21. What were the firm's earnings per share? The firm's earnings per share (EPS) is $ (Round to the...
-
Tree Top Company is a service based company that rents canoes for use on local lakes and rivers. At the beginning of the new year, Tree Top Company decided to carry and sell T-shirts with its logo...
-
Why was it important for General Motors to develop the Volt?
-
Graph the following conic sections, labeling vertices, foci, directrices, and asymptotes (if they exist). Give the eccentricity of the curve. Use a graphing utility to check your work. 10 5 + 2 cos 0
-
Graph polar equation. (hyperbola) 1- 2 cos e
-
Graph polar equation. (ellipse) 3 - 2 cos e
-
Graph polar equation. (parabola) 1- cos e
-
Arturo took out $38,000 in student loans at 4.25% interest. The standard repayment plan is to repay the loans in 10 years with equal monthly payments at the end of each month. (copyrighted exam...
-
What insights from neuroscience can inform the practice of mediation, particularly in terms of understanding the neurophysiological processes underlying empathy, perspective-taking, and negotiation...
-
Use the function f(x)=x-3x-6x+3 to answer the following. Part A What is the slope of the tangent line at x = 1? Part B - What is the instantaneous rate of change at x = 0? Part C - What is the...
Study smarter with the SolutionInn App