MATH 32A Midterm: Math 32A Exam 10
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Try to answer the following questions without the use of book, notes or calculator; you can use the equation sheet given on the course webpage. Time yourself and try to nish the test in less than three hours: let a = h0, 1, 1i and b = h2, 1, 2i. Indicate which variable(s) are the dependent and which are the independent. (b) find. The design is simple enough, a rectangular box, so your main job is to decide what dimension to make the box. The materials to make the top/bottom sides cost /m2 the materials to make the front/back sides cost /m2 and the material to make the left/right sides cost /m2. If the container must hold 240 m3, nd the dimensions of the box that minimize the cost: the method of changing variables, which we saw in the chain rule, can be used to simplify equations.