So, I have ordered the textbook, but it is not going to arrive fora few days and

Question

So, I have ordered the textbook, but it is not going to arrive fora few days and the prof. has assigned a few problems to turnin. I have the previous edition and have attended class, so Ithink I can make a pretty good effort at the problems... If I knewwhat they were :-)

The textbook this is coming from is Advanced Calculus by R.Creighton Buck, 3rd Edition. Thanks *smile*

So I will rate lifesaver if you can tell me the problems (not theanswers)

Sec. 1.2 #12, #14
Sec. 1.3 # 8, #17

All you have to do is write out what the question is and I willrate lifesaver.

Explanation / Answer

#12 The "center of gravity" of the triangle with vertices atA,B, and C is the point 1/3(A + B + C). Show that the center ofgravity of a triangle is always the same as that of hte triangleformed by the midpoints of its sides.
#14 Show that any three noncollinear points can be themidpoints of hte sides of a unique triangle.
1.3
#8 Show that the three points A = (2, -1,3,1), B =(4,2,1,4), and C = (1,3,6,1) form a triangle with two equal angles.Find its area.
#17 Show that the intersection of two convex sets is convexbut that the union of convex sets does not have to be convex.

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