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3 years ago

Which equation represents the line 5x - y = 3 in slope-intercept form?

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer:

y=5x-3

Step-by-step explanation:

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Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = 5y cos(z) i + ex sin(z) j + xey k, S is the hemisphere x2 + y2 + z2

Alenkinab [10]

By Stokes' theorem, the integral of the curl of $\vec F$ across $S$ is equal to the integral of $\vec F$ along the boundary of $S$ , call it $C$ . Parameterize $C$ by

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath$

with $0\le t\le2\pi$ . So we have

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

$=\displaystyle\int_0^{2\pi}(10\sin t\cos 0\,\vec\imath+e^{2\cos t}\sin0\,\vec\jmath+2\cos t\,e^{2\sin t}\,\vec k)\cdot(-2\sin t\,\vec\imath+2\cos t\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}-20\sin^2t\,\mathrm dt$

$=\displaystyle-10\int_0^{2\pi}(1-\cos2t)\,\mathrm dt=\boxed{-20\pi}$

6 0

3 years ago

caleb wants to rent a kayak. Kayak rental cost 14.50 for a half hour.If caleb rents a kayak for one hour and forty-five minutes.

jolli1 [7]

50.75
you multiply 14.50 times 3.5
the reason why it is 3.5 is because there are two half hours in one hour, and another half hour plus 15 minutes ( which is half of a half hour)
i hope this is clear!!
good luck!!

6 0

3 years ago

Who should fill out the W-2 form?

denpristay [2]

The taxpayer’s employer fills out the forms because they have the info you need these to turn in your taxes and if your jod is anything like mine they wait last minute to send them out

7 0

2 years ago

PLEASE HELP <br><br>ONLY ANSWER IF YOU KNOW

densk [106]

A: Speed is Independent as it can be anything with no restrictions. Gas mileage is dependent as it relies on the value of speed for its value to be decided.

B: The first letter of speed is "S" so it can represent the variable. The first letter of mileage is "M" so the variable can be represented by that letter. It really can be any letter.

C: no context

D: no context

5 0

3 years ago

Read 2 more answers

Simple Quadratic equation given a formula

IRINA_888 [86]

Answer:

12 feet.

Step-by-step explanation:

h= -(2)^2+8(2)

h= -4+16

h= 12

8 0

3 years ago