Find
R(V)
- p(x)×x
- x(-3/2x+112)
- -3/2x²+112x
Now
Find vertex x coordinate
Put in equation
- y=-3/2(-37.3)²+112(-37.3)
- y=-2086.9-84+4177.6
- y=$6264.6
- y=$62.64M
As a is negative parabola is facing downwards hence vertex is minimum .
So minimum value is $62M which is far more than given .
C. 9 square roots of 2
To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:
Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by 
will be 18. Knowing this, we can write out an equation:
u* = 18
u = 
<u>Multiply both sides by </u><u> in order to get rid of the root in the denominator:</u>
u = 
u = 
u = 9
If you'd like me to explain how I got to the answer any further, just ask!
- breezyツ
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
Answer: Population and sample
Step-by-step explanation:
A population is the complete collection of all measurements or data collected, whereas, a sample is a subcollection of members selected from the complete collection
