30 is the answer of this equation
Answer:
Using either method, we obtain: 
Step-by-step explanation:
a) By evaluating the integral:
![\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5Cint%5Climits%5Et_0%20%7B%5Csqrt%5B8%5D%7Bu%5E3%7D%20%7D%20%5C%2C%20du)
The integral itself can be evaluated by writing the root and exponent of the variable u as: ![\sqrt[8]{u^3} =u^{\frac{3}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bu%5E3%7D%20%3Du%5E%7B%5Cfrac%7B3%7D%7B8%7D)
Then, an antiderivative of this is: 
which evaluated between the limits of integration gives:

and now the derivative of this expression with respect to "t" is:

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then

is continuous on [a,b], differentiable on (a,b) and 
Since this this function
is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

Answer:
3
Step-by-step explanation:
List all possible factors of each number. The GCF will be the largest number they both share
Factors of 18: 1, 2, 3, 6, 18
Factors of 15: 1, 3, 5, 15
The largest number they both share is 3, so that is the GCF
You would take the CUBED ROOT of 125 instead of the square root, this will help find your answer..
It’s 5, because 5^3 is 125
Answer:
Step-by-step explanation:
2 yellow balls
1 red ball
3 green balls
So in total there are 6 balls all together
1) 2/6 = 1/3
2) 1/6
3) 3/6 = 1/2
4) 3+1 = 4 4/6 = 2/3