The volume of a cylindrical tin can with a top and bottom is to be 16π cubic inches. If a minimum amount if tin is to be used to construct the can, what must be the height, in inches, of the can?...
The volume of a cylindrical tin can with a top and bottom is to be 16π cubic inches. If a minimum amount if tin is to be used to construct the can, what must be the height, in inches, of the can?...
a. Find the dimensions of the rectangle with the greatest area that can be built so the base of the rectangle is on the x–axis between 0 and 1 (0 ≤ x ≤ 1) and one corner of the rectangle...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0...
A rectangle has one side on the x–axis, one side on the y–axis, and a corner on the graph of y=x^2+1. a. Use Linear Approximation of the area formula, A(x)=xy, to estimate the increase in...
a. You have $2000 dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom costs $5 per foot and for the sides it costs $3 per...
Under certain laboratory conditions, an agar plate contains B(t) = 400(3 − e^-t) bacteria t hours after the start of the experiment. a. How many bacteria are on the plate at the start...
a. Find the dimensions of the rectangle with the greatest area that can be built so the base of the rectangle is on the x–axis between 0 and 1 (0 ≤ x ≤ 1) and one corner of the rectangle...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0...
You are asked to design a rectangular barnyard enclosing 20,000 square feet with fencing on three sides and the wall of a long barn on the fourth. Find the shortest length of fence needed. I...
One ship is sailing east at 60km an hour and another is sailing south at 50km an hour. The slower ship crosses the path of the faster ship at noon when the faster ship was there one hour earlier....
If y = (sin t)^5t , find dy/dx.
Assing a value to the constant "k" which will make g continuous. g(x) = {(x^3+7x^2+x+7)/(x+7), when x is not = to -7 g(x) = { k, when x =-7 With...
If y = (sin t)^5t , find dy/dx. (Hint: This is not the power rule.)
Suppose the marginal cost function (=supply curve) for these cell phone subscriptions is given by: p= C'(q)= 12.417 + 0.8884q p= domain input q= output. a)...
What's the derivative of F(x)=the cubic root of f(x)g(x)
A shark, looking for dinner, is swimming parallel to a straight beach and 40 feet offshore. The shark is swimming at the constant speed of 6 feet per second. At time t=0, the shark is directly opposite...
A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 190 feet up the road from the location of the...
A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per day and the sides of the square are decreasing at a rate of 1 meter per day. When the...
A police car is located 40 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 120 feet up the road from the location of the...
Find the point on the line 5x+3y+1=0 which is closest to the point (–1,3). x= ? y=?