Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
I'll tell you more: when you fix the perimeter of the rectangle, the one with the maximum area is always the square with that perimeter. Here's the proof.
Given a perimeter 2P, all rectangles with that perimeter have sides x and y such that
The area is the product of the dimensions, so
The maximum of this parabola is found by setting its derivative to zero:
which implies
So, the maximum area is achieved when x=y, i.e. when the rectangle is actually a square.
So, the square with perimeter is 3131 has side length
Answer:ok
Step-by-step explanation:
3/2 reciprocal means flip so ur answer is 3/2
Answer:
B) 2 units
Step-by-step explanation:
The horizontal extent is 7 units from x=-3 to x=4.
The vertical extent is 5 units from y=1 to y=6.
The horizontal extent is 7-5 = 2 units greater than the vertical extent.