Answer:
B. 3.
Step-by-step explanation:
OK lets try again.
The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).
Slope of the secant = f(5) - f(2) / (5 - 2)
= [(25-3) / (5-1) - (4-3) / (2-1)] / 3
= (22/4 - 1) / 3
= 9/2 / 3
= 9/6
= 3/2.
The derivative at c = the slope of the tangent at c.
Finding the derivative:
f'(x) = [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2 (where x = c).
= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.
So equating the slopes:
(x^2 - 2x + 3) / (x - 1)^2 = 3/2
2x^2 - 4x + 6 = 3x^2 - 6x + 3
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 90
x = 3 , -1
x can't be -1 because we are working between the values 2 and 5 so
x = c = 3.
why do they be giving us this hardwork :(
Answer:
(2,20)
Step-by-step explanation:
The given function is
To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;
For the first point we substitute x=3 and f(x)=250
This is true.
For the second point (2,20), we put x=2 and y=20 to get:
This is false, hence (2,20) does not lie on this curve.
For (1,10), we have:
This is also true
Finally for (2,50), we have;
This is also true.
Answer:
(40-20)/.10
Step-by-step explanation:
40-20 is 20, 20 divided by .10 is 200, she used 200 extra minutes.
