Answer:14 1/4 cups
Step-by-step explanation:
3 1/2=14/4
(14/4) / (1/4) = 14
Answer:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

where:
A=amplitude
= angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m

where the frequency is the number of revolutions it takes every minute, in this case:

so:


and
b= radius, so
b=A
b=67.5m
so we can now build our equation:

which can be factored to:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
You can see a graph of what the function looks like in the end on the attached picture.
What is the domain and range for {(0,-5),(1,3),(2,2),(0,4)(-5,6),(3,4)}
Inga [223]
The domain are the x values and the range are the y values.
Domain {0, 1, 2, -5, 3}
Range {-5, 3, 2, 4, 6}
Note: you do not repeat a number if it is already in the domain or range.
Answer:
Step-by-step explanation:
From the given information:
The domain D of integration in polar coordinates can be represented by:
D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;
The partial derivates for z = xy can be expressed as:

Thus, the area of the surface is as follows:





![= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]](https://tex.z-dn.net/?f=%3D%202%20%5Cpi%20%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%20%20%5CBigg%20%5B%20%2837%29%5E%7B3%2F2%7D%20-%201%20%5CBigg%5D)
![= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B2%20%5Cpi%7D%7B3%7D%20%5CBigg%20%5B37%20%5Csqrt%7B37%7D%20-1%20%5CBigg%20%5D)
The slope intercept form is written like this:-
y = mx + b
'M' is the slope
'b' is the y intercept