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sladkih [1.3K]
3 years ago
11

What is the solution set of the inequality 2(y−6)+13>15?

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

I think the answer is ........

Step-by-step explanation:

a

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Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3
ValentinkaMS [17]

Answer:

not true

Step-by-step explanation:

i just wants points mate

8 0
3 years ago
How is 2+ (2) similar to adding 2+2 how is different explain your answer
Mekhanik [1.2K]

Answer:

2+2 is 4-1=3 quick maths

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Evaluate the surface integral:S
rjkz [21]
Assuming S does not include the plane z=0, we can parameterize the region in spherical coordinates using

\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle

where 0\le u\le2\pi and 0\le v\le\dfrac\pi/2. We then have

x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v
(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v

Then the surface integral is equivalent to

\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle
\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle
\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v

So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
=\dfrac{243}2\pi
4 0
3 years ago
A local pizzeria offers 11 toppings for their pizzas and you can choose any 4 of them for one fixed price. How many different ty
choli [55]
First slot, 11 options
2nd is 10 (1 less than 1st slot)
3rd is 9
4th is 8


11*10*9*8=7920 different pizzas (assuming you can't order all 1 topping)
5 0
3 years ago
For the parent function y equals the square root of x what effect does a value of a = 4 have on the graph?
Pani-rosa [81]

Answer: Raise values of y by 4

Step-by-step explanation: Depends how a is incorporated in the parent function.

Assuming it is : y= √x + a

A will rise all the values of y by 4

8 0
3 years ago
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