The number of identities in this problem is confusing me and everything is getting turned around in my head.

The number of identities in this problem is confusing me and everything is getting turned around in my head.

What is dy/dx when y = 2/(x^4) + 6e^x - 5sin(x)

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...

e2x − 3ex + 2 = 0

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...

find limh→0 {[(27+h)(1/3)] - 3} / h

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...

(sqrt x+4)(ex^2/4) [-1,1] minimum=? maximum?

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...

please show work limh->0 =[f(x+h)-f(x)]/h

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand how to...

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand...

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 = ?

The total average catch made by a hunting group varies by the hunting group size in the following way: Group Size Average Group Catch/Day ...

An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 7:00 A.M. will have assembled f(x)=−x3+15x^2+15x units...