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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!!!!
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belka [17]

Answer:

628 possible passwords.

6 0
2 years ago
Please help me .......
Misha Larkins [42]
First we have to know the Pythagoreans theorem which is

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3 0
3 years ago
Annie invests £9500 for 5 years in a savings account. She gets 1.8% per annum compound interest. How much money does Annie have
Trava [24]

Answer:

£10386.34

Step-by-step explanation:

The amount in an account for a principal P saved at compound interest for a period of n years at an annual rate of r% is calculated using the formula:

A(n)=P(1+r)^n

In this case:

Principal, P=£9500

r=1.8%=0.018

n=5 years

Therefore:

A(5)=9500(1+0.018)^5\\=9500(1.018)^5\\=\£10386.34

At the end of 5 years, Annie will have £10386.34

7 0
2 years ago
Events AA and BB are independent. P(A\ \mathrm{and}\ B)=0.25P(A and B)=0.25 Enter possible probabilities for events AA and BB.
xenn [34]

Answer:0.5, 0.5

Step-by-step explanation:

Given

P(A\cap B)=0.25

Also, A and B are independent events. So, we can write that

P(A\cap B)=P(A)\times P(B)

0.25=P(A)\times P(B)

So, the two most possible value of P(A)\ \text{and}\ P(B) are 0.5\ \text{and}\ 0.5

8 0
3 years ago
Please answer now!! (Math)
OleMash [197]

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

5 0
3 years ago
Read 2 more answers
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