My therapist comforts me as I let lose and tell him everything on my mind!
Answer:
It will take 30 minutes
Step-by-step explanation:
Here, we want to calculate the time it will take for the three friends to be at the starting point again
What we do here is to note the time it will take for each of the three friends to run a lap
That will be 6 , 3 and 5
What we now need to know the time is to find the lowest common multiple of the three amount of time
The lowest common multiple of 6,3 and 5 is 30
So the amount of time it will take the friends to be at the starting point again is 30 minutes
Answer:
Divide her answer by -6 and see if her result is -108
Step-by-step explanation:
x ÷ -6 = -108
if not then the answer would be wrong
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.