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Rina8888 [55]
3 years ago
13

Simplify 2b –7+3b+4 –b+3.

Mathematics
2 answers:
madam [21]3 years ago
7 0

Answer:

4

rjkz [21]3 years ago
5 0

Answer:

4b

Step-by-step explanation:

2b+3b-b -7+4+3

(real numbers cancel eachother out)

left with 4b

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A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 1
Oliga [24]
8x means it’s divided by 5x +9
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2 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
How do we write 8.517 in word form
kompoz [17]
Eight and five hundred, seventeen thousandths
6 0
3 years ago
Read 2 more answers
1. Find the area of the right triangle below.​
satela [25.4K]

Answer:

13.32cm squared

Step-by-step explanation:

Area of triangle is B X H X0.5

5 0
3 years ago
Hello there
den301095 [7]

Answer:

4: 20 cm3

Step-by-step explanation:

6 x 4 = 24

24 x 10 = 240

it is cubic since it is volume

7 0
2 years ago
Read 2 more answers
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