Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
7 14/15 Good luck! have a great day
I believe the answer is 4 if you need an explanation then reply to me!
Step-by-step explanation:
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
h(b1 + b2) = 2A
h = 2A/(b1 + b2)
Answer:
θ = π + periods of 2π
Sin (π + 2π) = 0
Cos (π + 2π) = -1
Tan (π + 2π) = 0
Step-by-step explanation:
Sin (θ)=0 implies that θ only can be 0 or π plus periods of 2π:
θ = 0+2π
θ = π+2π
For Cos(θ) the values only can be:
Cos (0+2π) = 1 and
Cos (π+2π) = -1
from this, only Cos (π+2π) < 0
So θ only can be θ=π+2π
