Chap. 8 Review Problems
2d. Is "an expression for f'(x)" any different from "a simplified expression for Df(x)"? Don't f'(x) and Df(x) both refer to the IRC? Or is f'(x) more specific (i.e. does it not have an "h" in it)? I put -.01x+.16 as my simplified expression for f'(x) because that was the equation I got when I drew the tangent on the graph of f(x) at x=6. I don't know if this is right or not.
4. I honestly have no idea where to begin. Any ideas?
5e. I am confused about what this question is asking. What does "Re(z)" mean? Is it asking us to find the remainder when (z + conjugate of z) is divided by two? And in that case, why would it say "prove"?
Thanks.
4. I honestly have no idea where to begin. Any ideas?
5e. I am confused about what this question is asking. What does "Re(z)" mean? Is it asking us to find the remainder when (z + conjugate of z) is divided by two? And in that case, why would it say "prove"?
Thanks.
posted by Casey Blue at 4:38 PM
3 Comments:
For number four draw a picture. I thought of the base as a square with sides of 100 each. You need to find the heaight of this pyramid. If you can picture a right triangle where one side is half the diagonal of the base, the height is the height of the pyramid, and the hypotnus is the side of the pyramid with base angle t then you have the picture. From this you can say that tan(t)=h/(100*sqrt2)/2=h/(50*sqrt2). This part is just right triangle trig. From here you solve for h getting that h=tan(t)*50*sqrt2. The volume of a pyramid is 1/3*area of base*height=1/3*100^2*tan(t)*50*sqrt2. You then can graph this replacing t with x and find the tangent at 30 to get V'30. (sidelength*sqrt2=the diagonal of a square.)
thanks guys
f'(x) just refers to the instantaneous rate of change -- therefore the limit of Df(x) as h approaches 0. You can also just set h to a really small number, but it should be something like .0000001.
Post a Comment
<< Home