Answer:
x=0
Step-by-step explanation:
You can combine the equation to get 2sin(3/2 +x) = -2
divide both sides by 2 and you get the equation equal to -1. sin is equal to -1 when the value inside is 3/2 so this is the answer.
Answer:
Step-by-step explanation:
The volume of a cylinder is:
where 
is the radius and 
is the height.
The height is 4 inches greater that the radius, so:
Substituting this in the formula for volume:
the volume is 
thus:
Dividing everything between pi:
We can see that the solution for this is 
since 
We have the radius, now we find the height:
You do 18.6 ÷ 3 and that equals 6.2
Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
