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2 years ago

Need help plzzzzz need it

Mathematics

1 answer:

Deffense [45]2 years ago

8 0

Answer:

Step-by-step explanation:

<u>From the graph we can get the intercepts:</u>

The y-intercept (0, - 1)
The x-intercept (4, 0)

<u>The rate of change (slope) is:</u>

m = (0 - (-1)) / 4 = 1/4

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TRUE or FALSE: In the quarter circle, the radius is 4 cm and the diameter is 8 cm.

viktelen [127]

Answer: False.

Step-by-step explanation:

There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1

The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.

So the statement is false

6 0

3 years ago

use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle

Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

$\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy$

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

$\int_C9y^3dx-9x^3dy$

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

$\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2$

$\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2$

$\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy$

⇒ $-27\int\int_D(x^2 + y^2)dx dy$

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

$-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta$

⇒ $-27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta$

⇒ $-27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta$

⇒ $-27\int\limits^{2\pi}_0 (16/4) d\theta$

⇒ $-108\int\limits^{2\pi}_0 d\theta$

⇒ $-108[2\pi - 0]$

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0

2 years ago

Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Anton [14]

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = <u>6</u>

<u></u>

The formula for the nth term is :

aₙ = a₁rⁿ⁻¹
Common ratio (r) = quotient of consecutive terms
r = -12/6 = -2

Therefore, the nth term is :

aₙ = <u>6(-2)ⁿ⁻¹</u>

4 0

2 years ago

for a store contest 4 out of every 65 people who visit the store witll get a free dvd if 455 people went how many dvd's were giv

velikii [3]

I think 7 455÷65=7 and 65×7=455

5 0

3 years ago

Will mark brainly if correct

netineya [11]

Answer:

Answer is 3.5

Step-by-step explanation:

slope is 7/2 which is 3.5:)

6 0

3 years ago