The sphere 2+ y+z = 36 and the plane x + y + z = -10...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The sphere 2+ y+z = 36 and the plane x + y + z = -10 intersect in an ellipse. Use Lagrange multipliers, or any other method, to find the lowest point (= point with minimal z-value) on this ellipse. QUESTION 2 Find the absolute maximum and absolute minimum values of the function f(x, y) = (x-1)+y-3y on the region {(x, y) = R : (x 1) + (y-1) 9}. Hint: to find the maximum and minimum on the boundary of this region, you might want to use Lagrange multipliers. QUESTION 3 Find the absolute maximum and absolute minimum values of the function f(x, y) = x + y + z on the region {(x, y, z) = R : x + y + z <1}. Hint: to find the maximum and minimum on the boundary of this region, you might want to use Lagrange multipliers. QUESTION 4 Find all complex solutions to the equation w 64 (that is, find all of the third roots of -64.) Express your answers in the form a + bi. QUESTION 5 Find all solutions in complex numbers to the equation w-4w+5=0. Express your answers in the form a + bi. Find the complex number QUESTION 6 Express your answer in the form a + bi. QUESTION 7 Find all solutions in complex numbers to the equation w+6w+5=0. Express your answers in the form a + bi. The sphere 2+ y+z = 36 and the plane x + y + z = -10 intersect in an ellipse. Use Lagrange multipliers, or any other method, to find the lowest point (= point with minimal z-value) on this ellipse. QUESTION 2 Find the absolute maximum and absolute minimum values of the function f(x, y) = (x-1)+y-3y on the region {(x, y) = R : (x 1) + (y-1) 9}. Hint: to find the maximum and minimum on the boundary of this region, you might want to use Lagrange multipliers. QUESTION 3 Find the absolute maximum and absolute minimum values of the function f(x, y) = x + y + z on the region {(x, y, z) = R : x + y + z <1}. Hint: to find the maximum and minimum on the boundary of this region, you might want to use Lagrange multipliers. QUESTION 4 Find all complex solutions to the equation w 64 (that is, find all of the third roots of -64.) Express your answers in the form a + bi. QUESTION 5 Find all solutions in complex numbers to the equation w-4w+5=0. Express your answers in the form a + bi. Find the complex number QUESTION 6 Express your answer in the form a + bi. QUESTION 7 Find all solutions in complex numbers to the equation w+6w+5=0. Express your answers in the form a + bi.
Expert Answer:
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
Students also viewed these mathematics questions
-
Evidence is considered more reliableand more likely admissible by the court and acceptable by juriesif the side presenting it can assign a statistical probability that it came from a specific...
-
a. Determine the multiplicative inverse of the matrix in the ring ^{2)- that is, find a, b, c, d so that b. Show that s a unit in the ring M2(Q) but not a unit in M2 (Z). 7 1 2a b Ct 5 3
-
When will the contributing spouse not be liable, for income tax purposes, for funds withdrawn from a spousal RRSP? 1. If the contributing spouse died during the year the funds were withdrawn. 2. If...
-
write a note on Moll Cutpurse Life?
-
What is a spending variance, and how is it used in responsibility reporting?
-
Answer the following questions concerning the data in Table 3. a. What is the percentile for the data value of 104.54 ng/ml for smokers? b. What is the percentile for the data value of 61.33 ng/ml...
-
Determine if 36 is divisible by 4.
-
Contingencies Presented below are three independent situations. Answer the question at the end of each situation. 1. During 2010, Maverick Inc. became involved in a tax dispute with the IRS....
-
What is the expected constant growth rate of dividends for a stock currently priced at $53.2, that just paid a dividend of $3.9, and has a required return of 12%? a. 5.64 % b. 4.67 % c. 5.44 % d....
-
Swanson Corporation purchased land from Clayton Corporation for $240,000 on December 20, 20X3. This purchase followed a series of transactions between Swanson controlled subsidiaries. On February 7,...
-
He has also estimated the covariances between stocks, as follows: Stock Combination (i, j) Covariances 1,2 .9 1,3 .7 1,4 2,3 3842 2,4 3,4 Determine the percentage of Mark's total funds that he should...
-
What is the forecasted value of property, plant and equipment (PP&E) based on the following information: Capital asset turnover ratio 3.2 Forecasted revenues 4,600 Forecasted costs of good...
-
This is the second of two articles in which feminist lawyers examine the structure and the effectiveness of antidiscrimination laws in the United States in the 1980s to establish equality. Kimberl...
-
1. Tata company has a European call and European put option on the stock XYZ. Today, the stock is trading at $41. The put option sells for 4 less than the call option. Call option and put option both...
-
Based on your personal experience as a consumer and your marketing knowledge, what would you do differently from at least one of the companies reviewed and why?
-
Summarize the talent management process. What is the difference between Job Description and Job Specification? How can workflow analysis be used to create a job description? What is the difference...
-
You have been hired to develop the launch of a new product for fast weight loss for a new start-up called ABC Company. Answer the following questions: How can you develop your competitive advantage...
-
Define deferred revenue. Why is it a liability?
-
Mike sells his home to Jane on April 2, 2012. Jane pays the property taxes covering the full calendar year in October, which amount to $2,500. How much may Mike and Jane each deduct for property...
-
Patty Bayan is a single taxpayer living at 543 Space Drive, Houston, TX 77099. Her Social Security number is 466-33-1234. For 2012, Patty has no dependents, and her W-2 from her job at a local...
-
Ken paid the following amounts for interest during 2012: Qualified interest on home mortgage...........................................$4,700 Auto loan...
-
Consider the game Nim with heaps of tokens. The players alternately remove some tokens from one of the heaps. The player to remove the last token wins. Try to prove part (a) without reference to the...
-
For this exercise, be careful to use only the definitions and not your intuitions that are familiar to you about the symbols \(\leq\) and \(
-
Adaris Group, headquartered in the UK, owns a 70 percent interest in Adaris Malaysia. The acquisition cost was 200 million. At the date of acquisition, 1 January 2012, Adaris Malaysia's book value...
Study smarter with the SolutionInn App