Ask questions and get free answers from expert tutors

A Balloon in the shape of a sphere is being inflated so that its surface area is increasing at a rate of 5 square centimeters per second. At the instant when the radius of the balloon is 10cm, what...

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=4-x2. What are the dimensions of such a rectangle with the greatest possible area?   Heig...

A 0 degrees celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by H=33(10sqrt v -v10.45, where v is the wind speed (in meters per second).    a...

Suppose that the population of bacteria originally (at time t=0) numbers 2 million, and triples every hour, so the population is P(t)=2x3^t (million) bacteria after t hours.    a...

It is estimated that the annual advertising revenue received by a certain newspaper will be R(x) = 0.5x2 + 3x + 160    thousand dollars when its circulation is x...

Evaluate the triple integral of x^2 where D is the region inside the cylinder x^2+y^2=9 which is bounded below by the plane z=0 and bounded above by the plane 4x+4y+z=19 I...

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2). Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following...

Find the maclaurin of f(x)= ∫ (from 0 to x) t2 e^(t)2 dt and find its redius of convergence   I dont understand what the integral means ?

It is estimated that the annual advertising revenue received by a certain newspaper will be R(x) = 0.5x2 + 3x + 160 thousand dollars when its circulation is x thousand. The circulation...

Let Q(p) be the demand function for a certain product, where p is price. If R is a function of p for the total revenue, dR/dp=MR is the marginal revenue.   MR = ?