Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution from here we see that
, and if we solve for x we got
, so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
Answer:
Step-by-step explanation:
We have to find the quotient of the following division, .
Now,
= {Since all the terms in the expression are in product form, so we can treat them separately}
{Since we know the property of exponent as }
=
= (Answer)
{Since we know, }
Answer:
Minimum 8 at x=0, Maximum value: 24 at x=4
Step-by-step explanation:
Retrieving data from the original question:
1) Calculating the first derivative
2) Now, let's work to find the critical points
Set this
0, belongs to the interval. Plug it in the original function
3) Making a table x, f(x) then compare
x| f(x)
-1 | f(-1)=9
0 | f(0)=8 Minimum
4 | f(4)=24 Maximum
4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.
