Question: 2. Find the following limits if exist. (a) lim (x,y) -(0,0) 2x2 + 32 (b) Hint: Approach from the diagonal y = x, and you

2. Find the following limits if exist. (a) lim (x,y) -(0,0) 2x2 + 32 (b) Hint: Approach from the diagonal y = x, and you may use L'Hopital's rule. ry lim (x,y)-(0,0) as + y4 (c) (x - 1) (y + 1) lim (r,y)- (1,-1) (x - 1)2(y +1)2

Step by Step Solution

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 Mathematics Questions!

Kyra would like to purchase a home by making monthly payments. She has found a new house selling for $345,000. Her local bank offers her three choices of a loan: 30-year fixed mortgage at an interest...

Hello! these are the answers to my hw. Could you please re write these answers in your own way? i would appreciate your help. Thank you ! 1. ($2.1-2.2, 5pts each) Use algebra and the limits...

15. [1/4 Points] DETAILS PREVIOUS ANSWERS SCALCET7 2.3.048 . (( x ) = *+ 1 if* =1 "((x - 2)2 if x z 1' Find the following limits. (If an an lim . A(x ) = 13. Find the limit, if it exists. (If an...

4. K-Mobile offers a monthly cellular plan for $39.99. It includes 350 anytime minutes plus $0.25 per minute for additional minutes. The following function is used to compute the monthly cost for a...

3G 4G 10:12 0 0 0.00 2: 41% Document View .. . Senior High School Basic Calculus Quarter 3 - Module 2: Limit Laws ADM ALE NMENT PROPERTY OT FOR S VERN GOVE Basic Calculus - Grade 11 Alternative...

need help with practice questions MCV4U Practice Answer (or Solution) Practice Questions 1. Consider the function f(x) defined by the following graph: 2 1-4 -3 -2 -1 2 Find: a) lim f(x) b) lim f(x)...

An open box is made from a square piece of cardboard 12 inches on a side by cutting identical squares from the corners and turning up the sides. Use this information to complete parts a through c. a....

QUESTION 15. [7 points] Find. 2 ) HINT: split in 3 fractions, make every fraction a POWER, and then use power rule for integrals (along with sum, constant term rules). As an example: the first term...

In this problem, you will use a linear approximation to approximate V493. Let an) = E The linear approximation of f(C) at w = 49 can be written in the form L(:L') = ma: + b' Compute m and b. c l |...

Let f(x) = (1 +x)1/X. (a) Estimate the value of the limit lim0 (1 + X)1 /X to ve decimal places. Does this number look familiar? x_. :] (b) Illustrate part (a) by graphing the function y = (1 +...

Of the two schools in the above graph, which would you prefer to send your child? Be sure to justify your response with the data in the graph. The following graph displays the average score for 27...

Describe briefly the Comparison of the Windows Operating system and Embedded Operating System.

Five statements about parity checking are given below, but they are not in the correct order. Put the statements into their correct sequence. i the sending computer sends the binary data including...

(a) Find two power series solutions for y'' + xy' + y = 0 and express the solutions y 1 (x) and y 2 (x) in terms of summation notation. (b) Use a CAS to graph the partial sums S N (x) for y 1 (x)....

Consider a variation of splay trees, called half-splay trees, where splaying a node at depth d stops as soon as the node reaches depth d/2. Perform an amortized analysis of half-splay trees.

On July 1, 2015, Velor Inc. acquired the following bonds, which Velor Inc. intended to hold to maturity: BOND Price Face Amount Purchased Face Amount Purchased Zcom Inc. 12% bonds, maturity date...

The price, in dollars, of a certain stock over a 10-day period is given in the following array. price = [19, 18, 22, 21, 25, 19, 17, 21, 27, 29] Suppose you owned 1000 shares at the start of the...

You are in France and are accused of a crime. You ask for a trial by jury. Why is one not available?

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Appreciate the significance of organisational context issues in activity-based costing system design and implementation.

Distinguish between the traditional and the activitybased costing approaches to designing a costing system in manufacturing?

Question from the Institute of Chartered Accountants in Ireland, Professional Examination 3, Management Accounting & Business Finance II, Summer 1995. (40 minutes) Combustion Ltd supplies components...