If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is

f(b) - f(a)/b - a

and the velocity at t = c is f '(c). thus the mean value theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. for instance, if a car traveled 1600 km in 20 hours, then the speedometer must have read km/h at least once.

in general, the mean value theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

4

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

answer: -0.5 would be the most likley outcome

step-by-step explanation:

51840000 cm 2

step-by-step explanation: