Step-by-step explanation:
t = 9x, and dx = 1/9 dt.
∫ sin(9x) dx
= ∫ sin(t) (1/9 dt)
= 1/9 ∫ sin(t) dt
= -1/9 cos(t)
= -1/9 cos(9x)
You'll get -6.25
To find a negative power, put it 1 over it and remove the negative symbol. For example, to simplify 2^-4, we would do 1/2^-4, then remove the negative to get 1/2^4, which is 0.0625
Then you have that -3^3 is -27 (since -3*-3*-3 is -27). Then using the above method, you can simplify 5^-2 to 1/5^2, which is 0.4
0.0625*-27*0.4 is -27/400
:)
Answer: -2, 2, 6, 10, 14
It is an Arithmetic sequence.
Step-by-step explanation:
Given Recursive formula : , for n ≥ 1 and A(1) = -2.
Hence, the five terms of given sequence= -2, 2, 6, 10, 14
Since, there is common difference of 4 in two consecutive terms.
Therefore, it is an Arithmetic sequence.
Answer:
44°
Step-by-step explanation:
The sum of the angles in a triangle = 180°
In an isosceles triangle the base angles are equal, thus
base angle = = = 44°
For this question you need to use the formula: y=p(1+r)^t. P is the principle, or the starting amount, $10,000, r is the rate of growth or decay, and t is the number of years. y=10,000(1.05)^x