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2 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

Svetach [21]2 years ago

8 0

Answer:

y = -1/3 + 2

Step-by-step explanation:

y = mx + b

b = y-intercept

m = slope

const2013 [10]2 years ago

6 0

Answer:

y = -1/3 + 2

Hope this helps!

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Thirty times the square of a non-zero number is equal to 8 times the number. What is the number?

astra-53 [7]

Hello here is a solution :

4 0

2 years ago

What is the slope of the line that passes through the points (1, -2) and (3, -5)?

Ksivusya [100]

Slope of the line is -3/2

Step-by-step explanation:

Step 1: Given points are (1, -2) and (3, -5)
Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

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2 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Tomtit [17]

Apparently my answer was unclear the first time?

The flux of F across S is given by the surface integral,

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S$

Parameterize S by the vector-valued function r(u, v) defined by

$\mathbf r(u,v)=7\cos u\sin v\,\mathbf i+7\sin u\sin v\,\mathbf j+7\cos v\,\mathbf k$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2. Then the surface element is

dS = n • dS

where n is the normal vector to the surface. Take it to be

$\mathbf n=\dfrac{\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}}{\left\|\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}\right\|}$

The surface element reduces to

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\mathbf n\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\implies\mathbf n\,\mathrm dS=-49(\cos u\sin^2v\,\mathbf i+\sin u\sin^2v\,\mathbf j+\cos v\sin v\,\mathbf k)\,\mathrm du\,\mathrm dv$

so that it points toward the origin at any point on S.

Then the integral with respect to u and v is

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S=\int_0^{\pi/2}\int_0^{\pi/2}\mathbf F(x(u,v),y(u,v),z(u,v))\cdot\mathbf n\,\mathrm dS$

$=\displaystyle-49\int_0^{\pi/2}\int_0^{\pi/2}(7\cos u\sin v\,\mathbf i-7\cos v\,\mathbf j+7\sin u\sin v\,\mathbf )\cdot\mathbf n\,\mathrm dS$

$=-343\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}\cos^2u\sin^3v\,\mathrm du\,\mathrm dv=\boxed{-\frac{343\pi}6}$

4 0

2 years ago

Can anyone solve it plzzzz

Vedmedyk [2.9K]

Answer:

1.A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Solution given:

We have

Sin² $\theta$ -Cos ² $\theta$ =1

Sin² $\theta$ =1+Cos² $\theta$

Sin $\theta$ = $\sqrt{1-Cos²\theta}$

4Tan² $\theta$ +4Cot² $\theta$ -3Tan² $\theta$ -3Cot² $\theta$

4Tan² $\theta$ -3Tan² $\theta$ +4Cot² $\theta$ -3Cot² $\theta$

Tan² $\theta$ -Cot² $\theta$

7 0

2 years ago

Put brackets in the calculation below to make it correct. 15 - 4 x 2 + 1 = 3

bagirrra123 [75]

If you put brackets around (2+1), your method of working is:
1) 15-4*(2+1)=3
2) 15-4*3=3
3) 15-12=3
You don't need any more brackets, as the BIDMAS (brackets, Indices, division, multiplication, addition, subtraction) rule does the rest of the job for you.
The answer is therefore: 15-4*(2+1)=3

3 0

2 years ago