Hello, please consider the following.
![\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20%5Cint%5Climits%5Ex%20%7B5sin%285t%29sin%28t%29%7D%20%5C%2C%20dt%20%26%3D%20-%5Cint%5Climits%5Ex%20%7B5sin%285t%29%7D%20%5C%2C%20d%28cos%28t%29%29%5C%5C%20%5C%5C%26%3D-%5B5sin%285t%29cos%28t%29%5D%2B%20%5Cint%5Climits%5Ex%20%7B25cos%285t%29cos%28t%29%7D%20%5C%2C%20dt%5C%5C%5C%5C%26%3D-5sin%285x%29cos%28x%29%2B%20%5Cint%5Climits%5Ex%20%7B25cos%285t%29%7D%20%5C%2C%20d%28sin%28t%29%29%5C%5C%20%5C%5C%26%3D-5sin%285x%29cos%28x%29%2B%5B25cos%285t%29sin%28t%29%5D%2B%20%5Cint%5Climits%5Ex%20%7B25sin%285t%29sin%28t%29%7D%20%5C%2C%20dt%5C%5C%5C%5C%26%3D-5sin%285x%29cos%28x%29%2B25cos%285x%29sin%28x%29%2B%20%5Cint%5Climits%5Ex%20%7B%2825%2A5%29sin%285t%29sin%28t%29%7D%20%5C%2C%20dt%5Cend%7Baligned%7D)
And we can recognise the same integral, so.
And then,
Thanks
On the first place we need to write the value of x, on the second place - the value of y.
{(-3,3), (0,0), (2,-2)}.
So, the answer is A.
Answer:
1)=38 /// 2)=116 /// 3)=102 /// 4)=41
Step-by-step explanation:
Answer:
D sorry if wrong
Step-by-step explanation:
The theoretical probability of spinning an odd number is equal to 5/9.
The experimental probability is equal to 3/5.
The theoretical probability of is greater than the experimental probability.
The sample space is H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6.
The different combo meals that are possible is 90.
The experiment probability that the pea pod has 9 peas in it is 45%.
<h3>What are the probabilities?</h3>
Probability is used to determine how likely it is that an event would happen. Experimental probability is based on the result of an experiment that has been carried out multiples times
The theoretical probability of spinning an odd number = odd numbers between 1 and 9 / 9 = 5/9
The experimental probability = number of odd number / sample space
6/10 = 3/5
The different combo meals possible = 6 x 5 x 3 = 90
The experiment probability that the pea pod has 9 peas in it = number of pods with 9 peas / total number of peas
(18/40) x 100 = 45%
To learn more about experimental probability, please check: brainly.com/question/23722574
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