Question: Find two numbers whose product is -12 and the sum of whose squares is a minimum.

Find two numbers whose product is -12 and the sum of whose squares is a minimum.

Step by Step Solution

★★★★★

3.40 Rating (178 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let x be one number y be the other and Q be the sum of the squares xy 12 ... View full answer

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

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (1848).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Find two numbers whose product is - 16 and the sum of whose squares is a minimum.

Q:

Find two numbers whose product is 2 and the sum of whose reciprocals is 33/8 .

Q:

Find two numbers whose product is 4 and the sum of whose reciprocals is 65/56.

Q:

20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a rate of 2 cm/sec. At what rate is the area changing when length is 12cm and width is 4cm? 21. A...

Q:

Find two numbers whose sum is 10 and the sum of their squares is a minimum

Q:

detailed solution EXERCISE Directions: Answer the following optimization problems systematically: 1.) Find the number in the interval (-3, 0] so that the sum of the number from its square is...

Q:

lQuestion 3 1 pts Find three positive numbers whose sum is 12 and the sum of whose squares is as smali as possible. (Hint: if ~.rou {alt these numbers x3. and z. express 2 in terms of x onet v. How...

Q:

Fill in the blanks. To factor x squared plus 5 x plus 6, find two numbers whose product is ____ and whose sum is ____. Question content area bottom Part 1 To factor x squared plus 5 x plus 6, find...

Q:

Find two numbers whose product is a 1-digit number and the sum is a 2-digit number. Find three whole numbers whose product and sum are equal. Complete the magic square given below, so that the sum of...

Q:

Find three positive numbers whose sum is 12 and the sum of whose squares is as small as possible.

Q:

What are the cylindrical coordinates of the point whose rectangular coordinates are (x = 1, y = 4, z = -2) ? r || 0 = N ||

Q:

To decrease anxiety in its most accomplished teachers, a school decides to offer them tenure, to help them concentrate on teaching better. Instead it notices that even the best of the teachers...

Q:

concerned with the dollar value of the land. Assume that if the British economy booms in the future, the land will be worth 2 . 0 0 0 , and a . Estimate your exposure ( b ) to the exchange risk. (...

Q:

On November 22, a $25,000 check drawn on the First National Bank of Nevada was deposited with Lincoln First Bank-Central. Lincoln forwarded the check to Nevada via Hartford National Bank and Trust...

Q:

Quality of Life Indexes: Every year, various magazines publish lists of The 10 Best Cities for Living" or The 10Worst Cities. These lists are constructed by magazines weighting various factors such...

Q:

Trade, Migration and the Price of a Haircut: In the text, we discussed the similarities between outsourcing and immigration and with it the similarity between trading goods and moving workers. The...

Q:

Compensating Wage Differentials and Increased Worker Safety: Why would any worker choose to work in a profession (like coal mining) that is risky for the workers health and safety? The answer is that...

Q:

A put option on a stock with a current price of $37 has an exercise price of $39. The price of the corresponding call option is $2.85. According to put-call parity, if the effective annual risk-free...

Q:

Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .20 .34 .46 .50 Normal .40 .25 .23 .20 Bust .40 .03 .25 .42 c - 1 If the expected...

Q:

1. Regulation and supervision of the financial system include 3 risk mitigation strategies to balance the safety net, which are: a.Regulation, supervision and enforcement b.Enforcement, supervision...