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3 years ago

Given f(x) = 9x - 10, find f(8) *

Mathematics

2 answers:

Rama09 [41]3 years ago

3 0

Answer:

$\huge\boxed{f(8) = 62}$

Step-by-step explanation:

$\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

Gekata [30.6K]3 years ago

3 0

Answer:

f(8) = 62

Step-by-step explanation:

To evaluate f(8) substitute x = 8 into f(x) , that is

f(8) = 9(8) - 10 = 72 - 10 = 62

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$\displaystyle\int_0^{5\pi/3}\int_0^{\pi/3}\sin(x+y)\,\mathrm dx\,\mathrm dy$

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So the average value of $f$ over this region is 0.

b. The area of $D$ is $\dfrac{2\pi}3\cdot\dfrac{7\pi}6=\dfrac{7\pi^2}9$ . The integral of $f$ is

$\displaystyle\int_0^{7\pi/6}\int_0^{2\pi/3}\sin(x+y)\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^{7\pi/6}\left(\cos y-\cos\left(y+\frac{2\pi}3\right)\right)\,\mathrm dy$

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