This Problem is for Optimization in calculus Math 1210
A gutter is to be made of a strip of metal 27 inches wide, with the cross section have the form o...
A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°. See the illustration. (a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? (b) What depths will allow at least 16 square inches of water to flow? 12-2x 12 (a) The depth that will provide the maximum cross-sectional area is inches.
1. An irrigation channel made of concrete is to have a cross section in the form of an isosceles trapezoid, three of whose sides are 4 feet long. How should the trapezoid be shaped if it is to have the maximum possible area? 2. A truck is to be driven 130 km at a constant speed of X km/hr . Speed laws require that 50 <= x <= 100. Assume that gasoline costs $2.90 per gallon and is consumed at...
You have a long piece of 8-inch-wide metal that you plan to make into a gutter by bending up 3 inches on each side (see below). The first two steps are about always labeling your picture a) Please label the angle(s) below with a variable. (They're the same) [1 pt] Now label the sides of the blue triangle below in terms of the variable you used in part (a). You'll need to use trigonometry to do this. Of course, show...
help me with these problems and ill give you amazing ratings!! (must do all please) 11. Make a detailed graph of the function f)-1---on the interval |-4,1] by completing the following steps (a) Compate f(x). (Make sure it is correct before contisuing) (b) Determine those points a Determine those points x for which f(e)-o, that is, compate the eritical pointa of (oeparate multiple points with commas) answer in the form of a sign chart for ) You will lose credit...
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...