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→Problems
'''9.''' Find <math>\int_1^{e^{\pi-2}} \sin(2+\log(x)) dx \ </math>
'''9.''' Find <math>\int_1^{e^{\pi-2}} \sin(2+\log(x)) dx \ </math>
==Main Problems==
'''1.''' What sort of objects are described by these equations:
<math>z=3x+\pi y - \frac{1}{7} \ </math>
<math>y=z^2+2y^2 \ </math>
<math>x=t, y=3t-1, z=t+2 \ </math>
'''2.''' Given what you know about plane geometry, describe the shapes described by
<math>\frac{x^2}{4} + y^2 + \frac{z^2}{9} = 1 \ </math>
<math>x^2 + {y^2 \over 16} - {z^2 \over 4} = 1 \ </math>
<math>- {x^2 \over 9} - y^2 + z^2 = 1 \ </math>
'''3.''' Consider the shape described by <math>z=-2x+\frac{y}{2} \ </math> and <math>x=t, y=\frac{t}{3}, z=-t \ </math>. What are these two shapes? Do they intersect? Where?
==Challenging Problems==