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2 years ago

HELP NOWWW!! What is the quotient when 2 x 2 + 7 x – 15 is divided by 2 x – 3?

Mathematics

1 answer:

abruzzese [7]2 years ago

8 0

Answer:

yup 12

Step-by-step explanation:

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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

2 years ago

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26

telo118 [61]

Answer:

Step-by-step explanation:

just multiply 26.91 to what ever 9 times 18 is and then multiply that annswer to 5

6 0

3 years ago

Read 2 more answers

Plz answer asap!!!!!!!!!!!!!!!!!!!!!!

user100 [1]

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

6 0

2 years ago

Uh could someone help me on this please?

sukhopar [10]

Answer:

39×99=3861.

85×43+43×15=4300

8 0

3 years ago

Read 2 more answers

What is the most appropriate SI unit for measuring the following items?

pochemuha

Answer: (d) meter

have a good day :)

5 0

3 years ago