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DochEvi [55]
3 years ago
9

Solve for x in terms of r, s and t : s=2x+t/r

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

For this case we have the following equation:

s = \frac {2x + t} {r}

We must clear the value of the variable "x" as a function of r, s and t:

If we multiply by "r" on both sides of the equation we have:

rs =2x + t

If we subtract "t" on both sides of the equation we have:

rs-t = 2x

If we divide by "2" on both sides of the equation we have:

x = \frac {rs-t} {2}

Thus, the value of the variable "x" is:

x = \frac {rs-t} {2}

Answer:

x = \frac {rs-t} {2}

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Step-by-step explanation:

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Answer:

Hello,

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I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\

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