Definition: The average rate of change of a function f(x)f from x=a to x=b is the slope of the line which passes through (a,f(a) and (b,f(b)). Consider the function f(x)=x^2+6 and...

Definition: The average rate of change of a function f(x)f from x=a to x=b is the slope of the line which passes through (a,f(a) and (b,f(b)). Consider the function f(x)=x^2+6 and...

Definition: The average rate of change of a function f(x)f from x=a to x=b is the slope of the line which passes through (a,f(a) and (b,f(b)). Consider the function f(x)=x^2+6 and...

The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm?

According to the US Census, the world population Upper P, in billions, was approximately Upper P=6.7 e^0.011 t where t is in years since January 1, 2007. At what rate was the world’s...

There are four possible answers to this problem that were given to me: A -0.09% B -9% C .91% D 91% Thank you so much in advance. If you could please explain how you...

A turtle begins to cross a path. After 3 minutes, the turtle is 2.5 feet from the other edge of the path. After 5 minutes, the turtle is 1.5 feet from the other edge of the path. What is the total...

Marco rides his bike home from the library. After 12 minutes, Marco is 2 miles from home. After 18 minutes, he is 1 mile from home. What is the total distance, in miles, of the bike ride?

Rate of change

D=f(t)=3t3+4t2

sales of bottled water at a local university increased approximately linearly from 9000 bottles in 2002 to 17,000 in 2012. Find the rate of change of sales per year

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)= 280(0.81)^t. What percent...

Find the average rate of change of the function from x = 3 to x = 6. f(x) = 10x2 + x

Identify the rate of change (slope) and the vertical intercept f(x) = 8 − 9x if y = −15 1)Slope=?? 2)Vertical intercept (x, y) =??

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...

Jessa is given the points (4, -1) and (-2, 3). She needs to find the rate of change between these two points.

Im looking for the rate of change of this equation

The distance, d(t), n meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average rate of chage, in meters per second, of the rock betwen 5 and...

I need help on this question.

HAving trouble figuring out how to do this one... need help just rate of change

A very large tank initially contains 15 gallons of saltwater containing 6 pounds of salt. Saltwater containing 1 pound of salt per gallon is pumped into the top of the tank at a rate of 2 gallons...