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3 years ago

Find the derivative of f(x)=7 by the limit process

1 answer:

6 0

$f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h$

If $f(x)=7$ , then

$f'(x)=\displaystyle\lim_{h\to0}\frac{7-7}h=0$

which is what you expect from a constant function.

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2x3 - 7x² - 4x = 0 <br><br> Polynomial factoring

kupik [55]

Answer:

Download Photomath

Step-by-step explanation:

To Answer Easily and follow me :)

8 0

3 years ago

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

3 years ago

A gourmet candy company charges the

MrRissso [65]

I’m pretty sure it’s C. because half of 12 is 6 so if they’re buying a pound and a half it would be 12+6, which is 18

8 0

3 years ago

Click the parts of the grid to shade 20% of the whole grid.

pantera1 [17]

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

6 0

3 years ago

If the measure of an angle is 10 degrees find the measure of its supplement ?

IrinaK [193]

Supplementary angles are 180 in total, so to find the answer you do 180-10, which equals 170. The answer is 170

6 0

3 years ago