Obtain a slope field and add to its graphs of the solution curves passing through the given points.y' = y(1 - y) with (0, -1)
What will be an ideal response?
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Solve the problem.A company wishes to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
A. 5.2 ft B. 6.4 ft C. 3.2 ft D. 2.6 ft
Provide an appropriate response.Determine the point on the paraboloid 
that is closest to the point 
A. (3, 2, 56) B. (-2, 3, 61) C. (3, -2, 56) D. (2, 3, 61)
Provide an appropriate response.Use sets to illustrate the transitive property of "less than."
What will be an ideal response?
Provide an appropriate response.Find all complex cube roots of z = 8(cos 87° + i sin 87°). Write each root in standard polar form with the argument in degrees.
A. -2(cos 29° + i sin 29°), 2(cos 149° + i sin 149°), -2(cos 269° + i sin 269°) B. 2(cos 29° + i sin 29°), 2(cos149° + i sin 149°), 2(cos 269° + i sin 269°) C. 2(cos 29° + i sin 29°), 2(cos 69° + i sin 69°), 2(cos 109° + i sin 109°) D. -2(cos 29° + i sin 29°), 2(cos 69° + i sin 69°), -2(cos 109° + i sin 109°)