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:
Match the mean, median, mode, and range for the data set below. 2, 7, 8, 4, 8, 2, 5, 5, 7, 2
dusya [7]
Answer:
Mean - 5
Median - 5
Mode - 2
Range - 6
Step-by-step explanation:
Mean-
If you add 2 + 7 + 8 + 4 + 8 + 2+ 5+ 5+ 7 +2= 50
50 divided by 10 (the amount of numbers in the equation) = 5 for the mean
Median-
Put the numbers in order which is
2,2,2,4,5,5,7,7,8,8 and the number is the middle is 5
Mode-
The number that repeats the most is 2
Range-
The largest number is 8 and the smallest number is 2 so 8-2=6
Answer:
it is 8
Step-by-step explanation:
because EG is E+G which is 8+3 which equals 11 so it is 8
Tbh ion even know what this shii is
Answer:
A. f(x) = 26 + 0.05x
B. f(x) = 26 * (1.5)x
c. f(x) = 2(1.05)*
D. f(x) = 26 * (0.95).*
Step-by-step explanation:
