Answer:
x=45
Step-by-step explanation:
It sounds like <em>R</em> is the region (in polar coordinates)
<em>R</em> = {(<em>r</em>, <em>θ</em>) : 2 ≤ <em>r</em> ≤ 3 and 0 ≤ <em>θ</em> ≤ <em>π</em>/2}
Then the integral is
Answer:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.
Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is
9/3 = 27/9 = 3
Therefore, the relationship is a direct variation and the function to model it is
y = 3x
Step-by-step explanation:
Answer:
The length is equal to 12 and the width is equal to 6.
Step-by-step explanation:
In order to find the values here, we start by setting the width equal to x. Now knowing this, we know that the length is twice that long. Therefore, the length would be equal to 2x. Now we can use the perimeter formula to solve the equation.
2L + 2W = P
2(2x) + 2(x) = P
4x + 2x = 36
6x = 36
x = 6
Now with the given value for x, we can tell that the width is 6 and then we multiply it by 2 to get the length value (12).
H(x) equals what? I think you've missed that detail. :)