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erica [24]
3 years ago
15

Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 ≤ 1}. Use the method of Lagr

ange multipliers to locate the maximum and minimum points for f on the unit circle. Use this to determine the absolute maximum and minimum values for f on D
Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:________________________________________

Step-by-step explanation:

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For each of the equations below, solve for y in terms of x. !<br> a. 2x – 3y = 12
ira [324]

Answer:

\large\boxed{y=\dfrac{2}{3}x-4}

Step-by-step explanation:

2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x

7 0
3 years ago
Olivia planted 25 tomato plants, but only produced 20 tomatoes. What percentage of plants produce tomatoes?
solmaris [256]

Answer:

It would be 5.

Step-by-step explanation:

Hope this help!

8 0
4 years ago
PLEASE HELP!!! i will give brainliest!!!
Lena [83]

Answer:

2. unabated

3. vindication

4. commence

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Step-by-step explanation:

6 0
3 years ago
B(n) = -1 (2)^n-1 What is the 5th term in the sequence?
bija089 [108]

Answer:

<h2>The answer is - 16</h2>

Step-by-step explanation:

<h3>b(n) =  - 1 ({2})^{n - 1}</h3>

where

n is the number of terms

From the question since we are finding the 5th term

n = 5

Substitute the value into the above formula and solve

We have

b(5) =  -  1({2})^{5 - 1}  \\  =  - 2 ^{4}

We have the final answer as

<h3>- 16</h3>

Hope this helps you

8 0
4 years ago
The volume of a cube with side length x is V(x)=x^3. The volume of a cylinder with radius x and height 0.5x is shown in the grap
abruzzese [7]

Answer:

  the cylinder volume is greater

Step-by-step explanation:

The volume of a cube with x=1 is ...

  V(1) = 1^3 = 1

The graph shows y ≈ 1.5 for x=1. Since 1.5 > 1, the volume of the cylinder is greater.

5 0
3 years ago
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