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valkas [14]
2 years ago
14

HELP PLEASE

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0
The closest would have to be $42.53, like the regular
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Find the extreme values of f(x y)=xy subject to the constraint x^2 + y^2 -4 = 0
KATRIN_1 [288]
Via Lagrange multipliers:

L(x,y,\lambda)=xy+\lambda(x^2+y^2-4)

L_x=y+2\lambda x=0
L_y=x+2\lambda y=0
L_\lambda=x^2+y^2-4=0

yL_x=y^2+2\lambda xy=0
xL_y=x^2+2\lambda xy=0
\implies yL_x-xL_y=y^2-x^2=0\implies y^2=x^2
\implies x^2+y^2=4=2x^2\implies x^2=2\implies x=\pm\sqrt2\implies y=\pm\sqrt2

So we have four critical points to consider, (\sqrt2,\sqrt2),(-\sqrt2,\sqrt2),(\sqrt2,-\sqrt2),(-\sqrt2,-\sqrt2). If both coordinates are positive or both are negative, we get a maximum value of (\pm\sqrt2)^2=2; otherwise, we get a minimum of (-\sqrt2)(\sqrt2)=-2.
4 0
3 years ago
Find the area of a circle with diameter,
DIA [1.3K]

Answer:

A = 25pi m^2

Step-by-step explanation:

We know the diameter, we need the radius

r = d/2

r = 10/2 = 5

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi m^2

5 0
3 years ago
2p x 3q x 5r maths watch
Zepler [3.9K]

Answer:

2px^ 8 qr

Step-by-step explanation:

<u>Reformatting the input : </u>

Changes made to your input should not affect the solution:

(1): "x5"   was replaced by   "x^5".  1 more similar replacement(s).

<u>STEP  1 : </u>

<em><u>Equation at the end of step 1 </u></em>

 ((2px3 • q) • x5) • r

<u>STEP  2 : </u>

<u></u>

<em><u>Final result : </u></em>

 2px8qr

<u><em>HOPE THIS HELPS!</em></u>

<u><em> PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)</em></u>

3 0
3 years ago
Read 2 more answers
Use the coordinates of the labeled point to find a point-slope equation of the line<br>​
disa [49]

Answer:

B. y + 2 = -2(x - 4)

Step-by-step explanation:

First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{4 - 3} = \frac{-2}{1} = -2

Slope (m) = -2.

Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)

Thus:

y - (-2) = -2(x - 4)

y + 2 = -2(x - 4)

8 0
3 years ago
Tell whether the number is evenly divisible by 2, 3, 4, or 9.
insens350 [35]

Answer:

hii

Step-by-step explanation:

7 0
2 years ago
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