556775.55444 subtract 45654.4566

Let R be region in the xy-plane and β>0 be the constant. What is the region R that will minimize the value of integral (x² + y² - β²).

i.e.

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]

Answer:

0

Step-by-step explanation:

Given that:

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]

where;

R is the region in the xy-plane.

To minimize our double integral, we have to determine the region over which the function we are integrating has a negative value.

x² + y² - β²  ≤ 0 ; where β > 0 is a constant

x² + y²  ≤ β² is the  circle with center (0,0)

Radius "β" because  R: x² + y²  ≤ β²

The polar coordinates: x = rcosθ and y = rsinθ

x² + y² = r²

⇒ r limits : r = 0 → β

⇒ θ limits : r = 0 → 2π

[tex]\iint_R(x^2+y^2-\beta^2) \ dA =\int\limits ^{2 \pi}_{\theta=0} \int \limits ^{\beta}_{r=0}( \beta^2 -\beta^2) \ rd \ rd\ \theta[/tex]

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex] = 0

Answer:

you couldve put it here -.-

Step-by-step explanation:

Answer:

Step-by-step explanation:

250*30%=75 mark up

250+75 markup = 325 selling price

Answer:

7.5

Step-by-step explanation:

12.5/10=1.25

7.5/6=1.25

Answer:

I think it is x=-78

Step-by-step explanation:

Learned it in math class :)

Answer:

9

Step-by-step explanation:

2√x+1=7

2√x=6

√x=3

x=9

As per cubic equation, there will be one real solution of the given equation.

"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.

Here a, b and c are the coefficients and d is the constant"

Given cubic equation is:

x³ + 6x² + 12x + 8 = 0

⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0

⇒ (x + 2)(x² + 4x + 4) = 0

⇒ (x + 2)(x + 2)²  = 0

⇒ (x + 2)³ = 0

⇒ x = -2

There will be one real solution of the given equation.

Learn more about cubic equation here: https://brainly.com/question/9390802

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Answer:

no no yes yes

Step-by-step explanation:

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

Answer:

'

Step-by-step explanation:

'

Answer:

3) 2 and 2/9

4)  1 and 1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the land A - Length * Width

Given

A = 1 3/4 mi²

Length L = 2 1/3 miles

Required

Width of the property

Substitute into the formula;

A = LW

W = A/L

W = 1 3/4/(2 1/3)

W = 7/4 ÷ 7/3

W = 7/4 × 3/7

W = 3/4 miles

Hence the width of the property is 3/4 miles

Answer:

13

Step-by-step explanation:

Answer:

833.29  

Just work it out on a piece of paper.

Answer:

You multiply 37.5*2 to get 75.

Step-by-step explanation:

Answer:

its 2 homie

Step-by-step explanation:

1+1 equals 2 one thing plus another equals the next number.

Answer:

Step-by-step explanation:

(0,-2)

Answer:

8 + 5 + 7 =20

Step-by-step explanation:

Answer:

8.70

Step-by-step explanation:

Answer:

the price for per dozen would $5.80 I hope this is right

Step-by-step explanation:

you multiply $2.90 by 2 because the muffins are 2.90 for 6 muffins so if you add 6 on it would be a dozen so all you have to do it multiply 2.90 by 2 please tell me if this is correct or wrong if it is wrong i will change it to the correct answer thank you

Answer:

She should receive $30.86

Step-by-step explanation:

$7.05 + $8.12 + $3.97 =19.14

50 - 19.14 = 30.86

Using the subtraction method we have found that Hannah will receive the change of $30.86

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection

Total cost of three items =7.05 + 8.12 + 3.97 =$19.14

She paid $50 bill

Change that Hannah should receive is =50 - 19.14 = $30.86

Hence, change that Hannah should receive is$30.86

Learn more about subtraction here

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Answer:

B.

Step-by-step explanation:

Answer:

The answer is percentages

Step-by-step explanation:

I got it right on a quiz

Answer:

Step-by-step explanation:

f(n + 1) = f(n) + 2.5

f(1) = -10

f(2) = f(1) + 2.5 = -10 + 2.5 = -7.5

f(3) = f(2) + 2.5 = -7.5 + 2.5 = -5

f(4) = f(3) + 2.5 = -5 + 2.5 = -2.5

Answer:

x ≥ -2

Step-by-step explanation:

Answer:

40 - 10w

Step-by-step explanation:

Answer:

Times, and conquer.

Step-by-step explanation:

First half the picture, for the circle and square. so we know the base is 28m, and the length including the circle is 24. So now times the two numbers and bam your answer.

Answer:

y=5x

Step-by-step explanation:

x-months

y-books read

5*x = y

Answer:

Store A has a better deal

Step-by-step explanation:

Answer:

Store A has the better deal

Step-by-step explanation:

People would see that 7 pounds of bananas is worth 7$ and would buy from store A instead of store B for selling a lesser amount for almost the same price.

Answer:

No, a reasonable estimate is around 6 times $7 = $42

Step-by-step explanation:

$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42

i got 8%

Amount of markup:

70.20 −65.00= 5.20

Markup as a percentage of original price

5.20/65.00 x 100 = 8