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2 years ago

6

Estimste 7.462 + 1.809 tenths

1 answer:

Degger [83]2 years ago

8 0

9.771 hope I helped ya out

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Integration of sin^2 2x cos^3 2x dx

lilavasa [31]

$\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C$

$=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C$

4 0

3 years ago

4^3 = ?<br><br>A. 64<br>B. 7<br>C. 12<br>D. 1

Alexxandr [17]

By defining how exponents work, we conclude that 4^3 = 64, so the correct option is A.

<h3>How to find the cube of 4?</h3>

Let's remember how exponents work.

If we have a number a to the exponent n:

a^n

It means that we need to multiply the number a by itself n times.

Then, in this case:

4^3

Can be rewritten to.

4*4*4

Now we can solve that product:

4*4*4 = (4*4)*4 = 16*4 = 64

Then we conclude that the correct option is A

4^3 = 64

If you want to learn more about exponents:

brainly.com/question/847241

#SPJ1

8 0

1 year ago

Simplify 〖3m〗^8 n^3÷(〖3m〗^8 n^3 )^0

vovangra [49]

$6561m^{8}n^{3}$

3 0

3 years ago

A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of t

Alexxandr [17]

Answer:

the answer is A and D

Step-by-step explanation:

8 0

3 years ago

Convert 13 feet per second to feet per hour

Svet_ta [14]

Answer:

0.681818

Step-by-step explanation:

13 feet per second is equal to 0.681818 miles per hour.

3 0

3 years ago