You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
y=mx+b
since the b is 0, the formula is y= -3x
Answer:
A. 
Step-by-step explanation:
We have been given that f be a differentiable function such that
, 
, 
, and 
. The function g is differentiable and 
for all x.
We know that when one function is inverse of other function, so:
Upon taking derivative of both sides of our equation, we will get:
Plugging 
into our equation, we will get:
Since , then 
.
Since we have been given that , so we will get:
Therefore, and option A is the correct choice.
The larger integer is 14
12+14=26
12*4=48
48-26=22
Y = -2x + 8 = x - 4
x + 2x = 8 + 4
3x = 12
x = 4
y = -2(4) + 8 = -8 + 8 = 0
Solution is (4, 0)
