A rectangular storage container with an open top has a volume of 10m^3. The length of the base is twice the width. Material for the base costs $10 per square meter. Material for the sides cost $6...
A rectangular storage container with an open top has a volume of 10m^3. The length of the base is twice the width. Material for the base costs $10 per square meter. Material for the sides cost $6...
let xy=1 and let dy/dt=3 find dx/dt when x=1
You are blowing air into a spherical balloon at a rate of 4pi/3 cubic inches per second. (The reason for this strange looking rate is that it will simplify your algebra a little.) Assume the radius...
A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 17 cm. answer...
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing...
A bacteria culture starts with 540 bacteria and grows at a rate proportional to its size. After 3 hours there will be 1620 bacteria. (a) Express the population after t hours as a function of...
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 2000 years?
Water is leaking out of an inverted conical tank at a rate of 11000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 14...
Let A be the area of a circle with radius r. If dr/dt= 3, find dA/dt when r = 1.
The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The thickness of the rind is always one tenth of the radius. The volume of the rind is growing at the...
f(x)=square root of 1-12x
A street light is at the top of a 10.5 ft. tall pole. A man 5.6 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he...
For the implicit function e^x + e^y = e^x+y show that dy/dx = -e^y-x , i have no idea how to get that. ive spent an hour on the problem derivative after another cant get it can you help?...
Of the infinitely many lines that are tangent to the curve of y = -sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct...
For the diagram below, you are given that BD = 10 and BE = 4. Compute the outer perimeter of the shaded region in terms of θ. Here is the diagram: http://s12...
The revenue from selling q items is R(q)=625q−q2, and the total cost is C(q)=50+6q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.
I missed school for this and am very confused, I know you find the derivatives of each side and then simplify it out with f(x) on the bottom and the plains on the top (I think) help is much appre...
Suppose a nurse records the temperature of healthy men and women. The table represents the mean and standard deviations of the data. ...
im studying analytical methods in economics and finance, lecture does not explain the steps in how to calculate the equation, just wanted to have it broken down and explained.
Cot^2x-Cos^2= (cotx)(cosx)