Question: Question 2 ( 1 4 points ) : At point ( x , y ) the lake has a depth f ( x , y

Question 2(14 points):
At point (x,y) the lake has a depth f(x,y)=2x2+y2-2x-2xy+2. The lake has a form of a triangle with vertices (0,0),(2,0), and (2,4)
a)(7 points). Find the shallowest point in the lake. Make sure to use the second derivative test to check that the point you found is a local minimum!
b)(7 points) How much water is in the lake?
Question 2 ( 1 4 points ) : At point ( x , y )

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!

Q:

Here are some equations you may need. Q142. E = E =ke PE F =k2 V = APE = qAV 72 V2 V = IR; R=! PL P = IV = 12 R = Irms = A R V2 mu E F = IlB sin 0; F = quB sin0; r= V = B ' v = rw 9B ' BHOI B - HoIN...

Q:

Here are some equations you may need. Q142. E = E =ke PE F =k2 V = APE = qAV 72 V2 V = IR; R=! PL P = IV = 12 R = Irms = A R V2 mu E F = IlB sin 0; F = quB sin0; r= V = B ' v = rw 9B ' BHOI B - HoIN...

Q:

I need extra help completing this portion. Calibri + 12 ~ A A Aa Po Find Paste BIU ~ ab X, X A PV A Normal No Spacing Heading Heading 2 Gc Replace Dictate Sensi Select Clipboard Is Font Paragraph...

Q:

would love some assistance checking my work on numbers 1,2, 16-18, 22-25. The correct answers are listed for those problems, I would just like to see how one arrives at those answers to check my...

Q:

Question 1 (5 points) Vector '7' is at a 61 angle and has a magnitude of 85. Describe this vector using vector notation. (Use the frand 3? symbols.) (5 points) Question 2 (1 5 points) You fire a...

Q:

question 5&6 5. (4 points) Two accounts, X and Y, are each exposed to a risk that has five possible outcomes. The five outcomes, the probability of each, and the loss to each account are provided in...

Q:

All questions within Problem 2 relate to GoodTaste Co a producer of food products. Question 2a Definitions (2 Points) Required: Define the term liability in accordance with IAS 1 Presentation of...

Q:

Question Part 1. (4 points) Describing the relationship between your two variables a. (3 points) Graphicalty: Make a scatterplot of the relationship between ST314 student midterm grades and nal exam...

Q:

Question Part 1. (4 points) Describing the relationship between your two variables a. (3 points) Graphically: Make a scatterplot of the relationship between $1314 student midterm grades and nal exam...

Q:

2. [8 points) A country called Foreign produces good X and good Y. It has a labor endowment of 100 units. The specific factors of producing goods X and Y are fixed in the short run. a. Before trading...

Q:

Design a combinational circuit whose input is a four-bit number and whose output is the 2s complement of the input number. Show that the circuit can be constructed with exclusive-OR gates. Course:...

Q:

We drop a needle of length I on a ruled paper with lines separated by a distance d. The location of drop and the angle are independent and uniformly random. (a) What is the probability of the needle...

Q:

When the done assumes the donor's basis in the property, the donee's holding period includes that of the donor . 1 3 1 4 1 5 1 6 1 7 1 8 1 9 O TrueO False

Q:

The school you would like to attend costs $100,000. To help finance your education, you need to choose whether or not to sell any of your 500 shares of Apple stock you bought five years ago, 100...