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EastWind [94]
3 years ago
9

How do you do this question?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

0

Step-by-step explanation:

∫ sin²(x) cos(x) dx

If u = sin(x), then du = cos(x) dx.

∫ u² du

⅓ u³ + C

⅓ sin³(x) + C

Evaluate between x=0 and x=π.

⅓ sin³(π) − ⅓ sin³(0)

0

Ilya [14]3 years ago
6 0

Answer:

\int\limits^\pi_0 {\sin^2(x)\cos(x)} \, dx=0

Step-by-step explanation:

So we have the integral:

\int\limits^\pi_0 {\sin^2(x)\cos(x)} \, dx

To evaluate this integral, we can use u-substitution. Remember that the derivative of sin(x) is cos(x). So, let u equal sin(x):

u=\sin(x)

Take the derivative of u:

\frac{du}{dx}=\cos(x)

Multiply both sides by dx:

du=\cos(x)dx

So, we can substitute cos(x) x for du.

We can also substitute sin(x) for u. Thus:

So, our integral is now:

\int\limits^\pi_0 {\sin^2(x)(\cos(x)} \, dx)\\

This is equal to:

=\int\limits^\pi_0 {u^2} \, du

However, we also must change our bounds of integration. To do so, substitute in the lower and upper bound into u. So:

u=\sin(x)\\u=\sin(0)=0

And:

u=\sin(x)\\u=\sin(\pi)=0

Therefore, our integral with our new bounds is:

=\int\limits^0_0 {u^2} \, du

Now, note that the integral has the same upper bound and lower bound. Therefore, this means that our integral is going to be 0 since with the same bounds, there will be no area.

Therefore, our answer is 0:

\int\limits^0_0 {u^2} \, du=0

And we're done!

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⅜ of the animals at the zoo equals to 600. 40% of all the animals at the
raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

5 0
2 years ago
The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Bas
Gnoma [55]

The equation of nth term will be written as for n as will be (\rm a_n - a₁ + d) / d. Then the correct option is D.

The missing options are attached to the picture given below.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The formula for the nth term of an arithmetic sequence can be found using the formula given below.

\rm a_n = a_1 + (n-1)d

Then arrange the equation for n, we have

\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d}  \end{aligned}

Then the correct option is D.

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

6 0
2 years ago
I don’t know how to do question 3
antoniya [11.8K]

Answer:

The function y = -x whose reflection in the line y =x is itself.

Step-by-step explanation:

A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.

The reflection of the point (x,y)  in the line y = x is the point (y, x).

Therefore, the  function y = -x  whose  reflection in the line y =x is itself.

Symmetries of the function f(x)= -x is:    

A function symmetric with respect to the y-axis is called an even function.

If f(-x) = f(x)

A function that is symmetric with respect to the origin is called an odd function.

if f(-x) = -f(x)

then, we must look at f(-x);

f(x) = -x

f(-x)= -(-x)= x = -f(x)

this function is symmetrical to with respect to origin.

Therefore, this function is an odd function.





 

5 0
2 years ago
ANYONE PLEASE HELP ME ANSWER THIS QUESTION AND I'LL GIVE THE BRAINLIEST TO SOMEONE.
Roman55 [17]
It will take her 5 months because you do 50divided by 12 because there is 12 months in a year
4 0
2 years ago
(BRAINLIEST) The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some s
tekilochka [14]

Answer:

B

Step-by-step explanation:

Please mark brainliest

8 0
2 years ago
Read 2 more answers
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