Answer:
Step-by-step explanation:
<u>Constant Speed Motion
</u>
When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as
where x is the distance and t is the time
There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say
When t hours have passed, the canoes have traveled x1 and x2 respectively.
Since
Then
The distance between them is
That distance is known and equals 11.25 miles, thus
Solving for v1 and using t=4.5 hours
Well 57+59+61= 177 so the answer is 57
Distribute the .25 to get .25x + 1 - 3 = 28
Then simplify to get .25x - 2 = 28
Move the two to the right to get .25x = 30
Then divide to leave x: 30 / .25 = 120
X = 120
To calculate the circumference multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation.
3.22x 2 = 6.44
6.44x π= 20.23185668911827
rounded to the nearest ten: 20.2
Y = e^tanx - 2
To find at which point it crosses x axis we state that y= 0
e^tanx - 2 = 0
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061
to find slope at that point first we need to find first derivative of funtion y.
y' = (e^tanx)*1/cos^2(x)
now we express x = 0.6061 in y' and we get:
y' = k = 2,9599
