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A grain silo consists of a cylindrical concrete tower with a hemispherical metal dome on top. The metal in the dome costs 1.5 times as much as the concrete (per unit of surface area). If the volume of the silo is 750 m3, what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
Could someone please show me how to solve this separable differential equation?
According to statistics the distribution of ages for licensed drivers has a mean of 44.5 years and a standard deviation of 18.7 years. Assuming the distribution of ages is normally distributed, what percentage of the drivers are the following.
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves x=4y^2-y^3 and x=0 about the x-axis.
A dam with a vertical face has a gate that is in the shape of an isosceles triangle 3 ft wide at the top and 2 ft high. The upper edge of the gate is 10 ft below surface of the water. Find the total force on the gate due to water pressure. Water w..
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
Amanda Thomas buys a house for $206,400 with a down payment of 20% of the price. If she takes out a 30-year mortgage at 6% compounded monthly, how much is her monthly mortgage payment?
Use polar coordinates to find lim(x,y)->(0,0) [(x)(y^2)]/[(x^2)+(y^2)] note that (x,y)->(0,0) is replaced with r->0^+. explain why this is a valid replacement.
Find the product of all the three zero of the second polynomial
Use the World Bank definitions for low income countries
A stack of 12 papers contains three "A" papers. If three papers are selected, what is the probability
Explain how to calculate the derivative of a polynomial function and provide an example to illustrate your explanation.
problem on percetanges
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