Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
Answer:
<h3>μₓ = 36,000 dollars</h3><h3>σ ₓ= 1,000 dollars</h3><h3 /><h3>Show work:</h3>
to find μₓ = 36,000 dollars:
Look in the question, it states that the mean is $36,000.
to find σ ₓ= 1,000 dollars:
<h3>

</h3>
The sum of the convergent series
is 5.31
For given question,
We have been given a series 
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]

=
= 
= 
= 5.31
Therefore, the sum of the convergent series
is 5.31
Learn more about the convergent series here:
brainly.com/question/15415793
#SPJ4
Given that f(x)=x^2-1 and g(x)=x-4, the value of (f*g)(10) will be:
f*g=(x^2-1)(x-4)
=x^2(x-1)-1(x-4)
=x^3-x^2-x+4
=x^3-x^2-x+4
next we find (f*g)(10), we substitute the value of x in our expression.
(f*g)(10)=10^3-10^2-10+4
=894