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hodyreva [135]
3 years ago
9

Find the price per unit for each item, then choose the best buy. a. Cereal, 10 oz. box for $5.90 would b. Cereal, 24 oz. box for

$ 6.48 would The best buy would be
Mathematics
1 answer:
brilliants [131]3 years ago
4 0
The Best Buy would be the 24 oz. box.
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What's -2x-8y=12 in y intercept form
Free_Kalibri [48]
Y=2/-8x-1.5 ( pretty much add 2x to both sides, then divide all parts by negative 8. So it'd be 2 over -8 and then 12 divided by -8 which equals -1.5) 
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3 years ago
Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x
Serggg [28]

I assume C has counterclockwise orientation when viewed from above.

By Stokes' theorem,

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

so we first compute the curl:

\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k

\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k

Then parameterize S by

\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k

where the z-component is obtained from

1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v

with 0\le u\le\dfrac\pi2 and 0\le v\le\dfrac\pi2.

Take the normal vector to S to be

\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k

Then the line integral is equal in value to the surface integral,

\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}

6 0
3 years ago
Jamaica is in the UTC -5 time zone and Singapore is in the UTC +8 time zone.
amid [387]

Answer:8:30 PM (20:30) Previous Day

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me quickly
bekas [8.4K]

Answer:

D

when you look at it it is upside down so d is the right answer

4 0
2 years ago
How many places do you need to move the decimal to the left to write the
NikAS [45]

Answer: 6 x 10^12

Step-by-step explanation:

Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10

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