Answer:
D. y = -2/3 x + 4/3
Step-by-step explanation:
When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.
To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b
y = -2/3x + b
2 = -2/3(-1) + b
2 = 2/3 + b
4/3 = b
So the equation is y = -2/3 x + 4/3.
Answers and steps are in the picture below!
Answer:
c is all the points in the open interval (0,25)
Step-by-step explanation:
Here given is a function
, which is continuous in the interval [0,25] and differentiable in (0,25)
Mean value theorem says there exists at least one c in the interval (0,25) such that

We have

For the given function

Hence we have c equals all the points in the open interval (0,25)
Points of inflections are zeroes of the second derivative. We have:

So, the second derivative equals zero if and only if

So, this is the only point of inflection of this function.