Answer:

Step-by-step explanation:
Put x = -2, x = -1, ... , x = 2 to the equation of the function y = -4x + 5 and calculate the values of y:
for x = -2
y = -4(-2) + 5 = 8 + 5 = 13
for x = -1
y = -4(-1) + 5 = 4 + 5 = 9
for x = 0
y = -4(0) + 5 = 0 + 5 = 5
for x = 1
y = -4(1) + 5 = -4 + 5 = 1
for x = 2
y = -4(2) + 5 = -8 + 5 = -3
It's B
Slope is negative, the other must be positive due to m1 x m2 = - 1
m1 = -2/5
The diagram shows a gradient of -2/5. So, the
reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)
-2/5 x 5/2 = - 10/10 (or - 1)
Thus, the perpendicular line to this has a gradient of 5/2.
Hope this helps!
Hope this helps! Let me know if you need anything else.
Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point
such that

You have to solve for
and get that
= 1.71828