Multivariable Calculus. Lagrange?
Multivariable Calculus. Lagrange? A silo is to be built having a flat circular bottom, cylindrical lateral surface, and...
An industrial tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral surface costs $5 per square foot, and the material for the hemispherical ends costs $10 per square foot. Find the dimensions of the tank that will minimize cost.
1. Use methods of algebra and calculus to analyze the graph of the function$$ f(x)=\frac{-x^{3}-x+5}{2 x^{3}+3 x^{2}-7} $$Include all the following in your analysis:a) the domainb) interceptsc) equations of asymptotes (both vertical and horizontal)d) relative extrema (be sure to provide all derivatives, identify critical numbers, and show the test for those values - naming the test you are using.)e) intervals where the function is increasing or decreasingf) inflection points (be sure to identify possible inflection points and be sure to...
summatize the following info and break them into differeng key points. write them in yojr own words apartus 6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...