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Maru [420]
2 years ago
8

If f(x) = 3x-5 and g(x) = 4x^2 + 2x -8 evaluate f(x) x g(x)

Mathematics
1 answer:
Vikentia [17]2 years ago
3 0

(3x-5)*(4x^2+2x-8)

=12x^3−14x^2−34x+40


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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
2 years ago
Please help will mark brainliest if correct
dangina [55]

Answer:

B   -------   DE ≅ RS

it's B because DE and RS both contain the equal angles.

4 0
2 years ago
Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
barxatty [35]

Answer:

60 tiles left over

Step-by-step explanation:

the lobby needs 30 x 8 = 240 tiles.

she has 6 x 50 = 300 tiles

300 - 240 = 60 left over

3 0
2 years ago
a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when h
Firdavs [7]

Answer: 14.2 I hope im Right but it’s a simple question

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help me with number 7 for 10 points!!!
Ket [755]
Remember this rhyme:

Hey Diddle Diddle, the medians the middle:

(Answer for your question: Median is 80%)

You add and divide for the Mean: 

( Answer for your question: Mean is 93)

The mode is the one that appears the most:

( Answer for your question: Mode is 87%)

And the range is the difference between.:

( Answer for your question: Range is 54.)

I hope this helps! :)
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2 years ago
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