Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2

1 answer:

6 0

Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1

You might be interested in

A COLOR PRINTER WILL PRINT 8 PAGES PER MINUTE. HOW MANY MINUTES WILL IT TAKES TO PRINT A REPORT THAT HAS 136 PAGES

lara [203]

8 pages per 1 minute
so 136 pages will be 136/8 = 17 minutes

Will take 17 minutes to print out 136 pages

4 0

3 years ago

Read 2 more answers

michelle bought 4 gallons of grape juice and 5 gallons of apple juice for a party what is the ratio of gallon of apple juice to

just olya [345]

Answer:

5:4

Step-by-step explanation:

Have A Great day

4 0

2 years ago

What information is needed in order to solve problems using the Pythagorean theorem?

gladu [14]

You would need to know the length of two sides either a2, b2, c2. you would also need to know what sides you are solving for, either one of the legs or hypotenuse. hope this helps, if you know how to solve a Pythagorean theorem problem this should be easy to answer

8 0

3 years ago

The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can sti

tangare [24]

Solving by an inequality is : x ≤ 130

6 0

3 years ago

5/8(x-1/3)=5/12 can someone help me figure out what x is?

eimsori [14]

Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer: x = 1

3 0

3 years ago