1 Light year is 9.460 730 472 5808 x 1015 meters (SI unit). Distance light can travel in a vacuum over a period of 365.25 days.
Answer:
75, 65 and 40 degrees.
Step-by-step explanation:
Let the largest angle be x degrees, the median y and the smallest z.
x = 2y - 55
z = y - 25
x + y + z = 180
Substituting for x in the last equation:
2y - 55 + y + z = 180
3y + z = 235
From the second equation:
- y + z = -25 Subtract this from the last equation:
4y = 260
y = 65 degrees
so z = 65 - 25 = 40 degrees.
- and x = 180 - 65 - 40 = 75 degrees,.
The average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].
According to the given question.
We have a function.
F(x) = 3x^2
Since, we know that " the average value of a function is found by taking the integral of the function over the interval and dividing by the length of the interval".
Here, the given interval is [-3, 3]
Therefore, the length of the interval = 3 - (-3) = 3 + 3 = 6
Now, the average value of the given function f(x)
![= \frac{1}{6} [\frac{x^{3} }{3} ]_{3} ^{-3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B6%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%20%7D%7B3%7D%20%5D_%7B3%7D%20%5E%7B-3%7D)
= 2(27)/18
= 27/9
= 3
Hence, the average value of the function f(x) = 3x^2 is 3 on the inetrval [-3, 3].
Find out more information about average value of a function here:
brainly.com/question/22155666
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Multiplying by 2 then dividing by 3 is the same as multiplying by 2/3 as you also divide by 3, but in one step.
Hope this helps!
Answer:
the answer is option B
Step-by-step explanation:
To find dy/dx the equation here is
first multipled by derivative of second + second multipled by derivative of first
y = x*sinx
dy/dx = x * derivative of sinx + sinx * derivative of x
derivative of x with respect to x is 1
derivative of sinx with respect to x is cosx
therefore
dy/dx = x * cosx + sinx * 1
= x * cosx + sinx
