1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
7

Evaluate ∫ x cos 3x dx. A. 1/3 x sin 3x + 1/9 cos 3x + C B. 1/3 x sin 3x - 1/3 sin 3x + C C. 1/2 x2 + 1/18 sin2 3x + C D. 1/6 x2

sin 3x + C
Mathematics
1 answer:
balandron [24]3 years ago
4 0
I = ∫ cos (3x) dx
Let u = 3 x
du = 3 dx
du/3 = dx
I = (1/3) ∫ cos u du
I = (1/3) sin u + C
<span> I = (1/3 sin (3x) + C 



Hope that helps!!!!
</span>
You might be interested in
What is Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price pe
Shalnov [3]
Since we are finding the unit rate of the cost per comic, we will need to divide $5 by 20 comics which you will get 0.25 cents and divide $7.50 by 30 comics which you will also get 0.25 cents.Therefore, the unit rate and constant of proportionality is 0.25 cents.
8 0
3 years ago
Read 2 more answers
3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q
garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

8 0
2 years ago
Geometry, any idea?
Pepsi [2]

Answer:

8

Step-by-step explanation:

15x-31+9×+11+×=180

25×-20=180

25×=200

×=8

15(8)-31=89

9(8)+11=83

8

5 0
3 years ago
Simplify (2/3)^-1 Show your work!
lawyer [7]

Answer:

3/2

Step-by-step explanation:

Apply exponent rule: a^-1 = 1/a

(2/3)^1 = 1/2/3

Apply the fraction rule: 1/a/c = c/b

3/2

5 0
3 years ago
Read 2 more answers
Granny Jane's famous cookie recipe calls for 6 cups of chocolate chips and makes 30 cookies. How many cups of chocolate chips wi
LenaWriter [7]

Answer:

c

Step-by-step explanation:

it is right

8 0
2 years ago
Read 2 more answers
Other questions:
  • jasmine answered 19 out of 25 questions correctly on a quiz. about what percent of her answers were correct?
    6·1 answer
  • Pls help<br> -10y + 18 = -3(5y - 7) + 5y<br> what is y?
    13·1 answer
  • Find the quotient 7 1/6 divided by 5/9
    12·2 answers
  • Plz help me
    11·2 answers
  • A theatre contains 441 seats and the ticket prices for a recent play were ​$60 for adults and ​$16 for children. If the total pr
    10·1 answer
  • Reasoning Zach texted 8 different friends each day for three days about a new game. Then Zach texted 8 friends about a new movie
    5·1 answer
  • Help me with this please
    5·2 answers
  • Given g(x) = -X – 1, solve for x when g(x) = 3.
    14·2 answers
  • 8/7 divided by 5/2?
    10·1 answer
  • Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!