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2 years ago

I would love the help, 13 points !!!!!

Mathematics

2 answers:

lorasvet [3.4K]2 years ago

7 0

Answer:

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Luba_88 [7]2 years ago

4 0

Answer:

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What is the rate of change of the function?

Alona [7]

We have been given that on a coordinate plane a line with negative slope passes through points $(0,1)$ and $(1,-1)$ . We are asked to find the rate of the change of the function.

We know that slope represents rate of change of function.

We will use slope formula to solve our given problem.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(1,-1)$ .

$m=\frac{-1-1}{1-0}$

$m=\frac{-2}{1}$

$m=-2$

Therefore, the rate of change of the given function is $-2$ .

8 0

2 years ago

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Two angles are supplementary the first angle measures 40 degrees what is the second angle

nydimaria [60]

The second angle would be 140⁰. When two angles are supplementary, they add up to 180⁰.
180⁰-40⁰=140⁰

4 0

3 years ago

Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an

Leya [2.2K]

Parameterize the lateral face $T_1$ of the cylinder by

$\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v$

where $0\le u\le2\pi$ and $0\le v\le3$ , and parameterize the disks $T_2,T_3$ as

$\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)$
$\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)$

where $0\le r\le2$ and $0\le\theta\le2\pi$ .

The integral along the surface of the cylinder (with outward/positive orientation) is then

$\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS$
$=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr$
$=136\pi$

7 0

3 years ago

How many triangles can be constructed with the sides measuring 1m, 2m, and 2m.

Pachacha [2.7K]

Answer:Only one triangle can be constructed

Step-by-step explanation:

According to the question sides given are 1m, 2m and 2m

For the possibility of a triangle the sum of the two sides must be greater

than the third side

We have 1+2>2

⇒3>2

Also 2+2>1

⇒4>1

So the possibility of a triangle is fulfilled

Only an isosceles triangle can be constructed

as two sides are equal

3 0

2 years ago

Math equation that equals 600

Anna35 [415]

Answer:

60 time 10

Step-by-step explanation:

5 0

2 years ago

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