1. A particle is traveling along the x-axis and its position from the origin can be modeled by x(t)=t^3 - 2t^2+ 4t where x is centimeters and t is seconds.

a. On the interval 0< t <4, find when the particle is farthest to the right.

b. On the same interval, what is the maximum speed?

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

what does muffins have to do with anything?

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

idk

step-by-step explanation: