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Molodets [167]
3 years ago
15

MATH HELP URGENT PLEASE

Mathematics
1 answer:
Pie3 years ago
7 0
I say D? Hope that helps
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98÷6= use multiplication to check. <br><br><br> answer as soon as possible
Neporo4naja [7]

Answer:

14

Step-by-step explanation:

98 ÷ 6 = 14

3 0
2 years ago
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 9 − x2 −
Korolek [52]

The vector field

\vec F(x,y,z)=x^2\sin z\,\vec\imath+y^2\,\vec\jmath+xy\,\vec k

has curl

\nabla\times\vec F(x,y,z)=x\,\vec\imath+(x^2\cos z-y)\,\vec\jmath

Parameterize S by

\vec s(u,v)=x(u,v)\,\vec\imath+y(u,v)\,\vec\jmath+z(u,v)\,\vec k

where

\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=(9-u^2)\end{cases}

with 0\le u\le3 and 0\le v\le2\pi.

Take the normal vector to S to be

\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

Then by Stokes' theorem we have

\displaystyle\int_{\partial S}\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

=\displaystyle\int_0^{2\pi}\int_0^3(\nabla\times\vec F)(\vec s(u,v))\cdot\left(\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^3u^3(2u\cos^3v\sin(u^2-9)+\cos^3v\sin v+2u\sin^3v+\cos v\sin^3v)\,\mathrm du\,\mathrm dv

which has a value of 0, since each component integral is 0:

\displaystyle\int_0^{2\pi}\cos^3v\,\mathrm dv=0

\displaystyle\int_0^{2\pi}\sin v\cos^3v\,\mathrm dv=0

\displaystyle\int_0^{2\pi}\sin^3v\,\mathrm dv=0

\displaystyle\int_0^{2\pi}\cos v\sin^3v\,\mathrm dv=0

4 0
3 years ago
The exterior angle of a regular polygon is 15 degrees how many sides does it have
Komok [63]
The formula to use is
n = 360/E
where 
n = number of sides
E = measure of exterior angle

In our case, E = 15 so 
n = 360/E
n = 360/15
n = 24

This regular polygon has 24 sides
6 0
4 years ago
Factor: a^2 m + 5am – 30m
DIA [1.3K]
I am gonna go with C.
6 0
3 years ago
What is this number in standard form? 6.8 x 10 –4?
Fudgin [204]
To multiply a number by 10^-4, move the decimal place to the left four place values.
Final answer: 0.00068
5 0
4 years ago
Read 2 more answers
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