evaluate The Difference Quotient For The Given Function. Simplify Your Answer. f(x)=x^3, f(a+3)-f(a)/h

evaluate The Difference Quotient For The Given Function. Simplify Your Answer. f(x)=x^3, f(a+3)-f(a)/h

classify each function as a power function, root function, polynomial (state in degrees), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function...

a spherical balloon with radius r inches has a volume V(r)= (4/3) pi r^3. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius go...

A ball is tossed up from a tower 50m above the ground. If the ball has an initial velocity of 30m/s, how long will it take to hit the ground if a = -9.81m/s^2. Help!?

Differential equations are often referred to as mathematical models. Explain what the phrase “mathematical model” can mean, experiences with mathematical models, and how the mathematical use...

The letter y appears in two places in the differential equation dy/dt = 0.3y. Is it appropriate to think of both occurrences of y as function of t? Explain.

Graph 3 members of the family of curves that have f(x) = -x+1 as a common derivative. Help!?

(1/(a+h) - 1/a)/h

A 7m ladder is leaning against the wall. When the top of the ladder is slipping down at a rate of 2m/s, how fast is the bottom moving when it is 4m away from the wall? HELP!?

The centroid of a region R in the xy-plane is the point {SuperStar[x], SuperStar[y]} where SuperStar[x] is the average value of f[x,y] = x on R and SuperStar[y] is the average value of g[x,y]...

A biatholon is organized for swimmers and speed walkers. The first leg will require swimming from a launch 4 km from the shore of the lake. The second leg involves a walk to the finish line which...

Two people walk away from the same location at the same time. The first person travels east at a rate of 2.5 m/s. The second person travels south at a rate of 1.5 m/s. At what rate is the distance...

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer...

A fish is being reeled in at a rate of 30cm/s from a bridge 4m above water. At what rate is the angle (in rad/s) between the line and the water changing when there is 8m of line out?

Difference between function of x and function of 1/x. F(x) and F(1/x)

You decide to warm your house by lighting your wood fire place. The smoke is coming out the chimney in the shape of an inverted right circular cone, the diameter of which is equal to its height. If...

A fish is being reeled in at a rate of 30cm/s from a bridge 4m above water. At what rate is the angle (in rad/s) between the line and the water changing when there is 8m of line out?

A pebble is dropped into a still pond, causing ripples in the form of concentric circles. The radius r of the outer circle is increasing at a rate of 25cm/s. When the radius is 100cm, at what rate...

A construction worker pulls a 5m plank up the side of a building under construction by means of a rope tied to the end of the plank. The opposite end of the plank is being dragged along the ground...

A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express...