Find the region enclosed by x=3y and x=-y^2+4. Set up integrals both shell and disc that represent the volume when this region is revolved about y=4.
i got the shell method, how would i represent the disc method>
pi integral(-4,1) (3y-4)^2-(-y^2)^2 --this is wat i got for disc method...
Sand is falling onto a cone-shaped pile at the rate of 9pi cubic feet per minute. the diameter of the base is always 3 times the height of the cone. At what rate is the height of the pile changing when the pile is 12 feet high.
work:
dV/dt=+9 ft^3/min
d=3h then r=3h/2 dr/dt=(3/2)...
Can someone please check my work, thank you
Discuss any discontinuities. classify each discontinuity as removable or nonremovable. (this is a peicewise function)
f(x)={sin(x), x<-3(pi)/2
{tan(x/2), -3(pi)/2<x(less than or equal to)0
{(-3x+1)/(x-2), 1<x<3
{-sqrt(x+6), x(greater than or...
F(x)= 2x^2, x<1
3, X=1
X+, x>1
Find
lim(x-->1) f(X)
f(1)=
not exactly sure how to do this. would not f(1) be just 3, since it is defined as that in the function. I am not sure about how to take that limit.
Thanks
This seems similar to A. If it connects to the ends then we can liken this phenomenon to the telephone cord ends acting as the synapses. Is this correct?
I just need someone to please check if my answers are correct.
Cells communicate in ways that are analogous to human communication. Decide which of the following forms of human communication are analogous to autocrine, paracine, endocrine , and synaptic signaling.
A) a telephone...
INtermediate filaments function as tension-bearing elements to help maintain cell shape and rigidity, and serve to anchor in place several organelles, including the nucleus and desmosomes
Ok if this is true then wouldn't a nerve cell in the spinal cord of a mouse need the filaments to...
Which of the following types of cells would you expect to contain a high density of cytoplasmic intermediate filaments?
A) Free living amoeba (the answer is no, but why? Is it because the amoeba has to move)
B) Human skin epithelial cell
C) smooth cell in the digestive tract of a...
Actually, for C, it says secreted outisde the cell. Then I believe it would follow the same pathway, Cytoplasm-ER(synthesis of soluble proteins)-Golgi-(the packaging) and then from there sent to other parts of body. And for A, is it that it will stay in the cytoplasm where there are ribosomes...