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...
I have been asked to describe the pathway the following types of proteins follow and where they are synthesized in the cell.
(a) Soluble proteins meant to remain in cytoplasm-
Here wouldn't this follow the pathway cytoplasm-ER-golgi-exocytosis\
(b) membrane proteins meant to remain...
How do protein to protein interactions and/or protein-nucleic acid interactions underlie the cellular processes of Replication, transcription, and metabloism.
Well i know that protein -protein reactions underlie all processes in the cell. For example i think in translation the ribosome is...
Hi,
Why is it better for a cell to synthesize polymers such as proteins carbohydrates by linking together monomers than to synthesize them from scratch>
I believe it is because it would take too much energy to link them together from scratch. Since they already have these monomers the...
Hi everyone, my teacher talked about the importance of conformational changes during catalysis. But I don't understand the importance of the changes. Can someone help me understand?
calculate delta h of this eq
2N2 + 5o2 -> 2N2O5
giventhis data
h2 + 1/2o2 -> h20
and delta h of that is -285.5
n2o5 + h2o -> 2nho3 delta h -76.5
and
1/2n2 + 3/2 o2 + 1/2h2 -> hno3 delta h -170.3
In general how do DNA-Binding proteins bind to DNA? Many DNA-binding proteins bind to specific sequences of DNA bases. How do the proteins accomplish this sequence recognition.
My answer: In general, DNA binding proteins possesses certain structural motifs, such as helixes, which enable...
Anyone know the answer to this ridiculous problem
Antarctic notothenioid fish avoid freezing in their perpetually icy environment because of an antifreeze protein that circulates in their blood. This evolutionary adaptation has allowed these fish to rise to dominance in the freezing southern...
Ok someone tell me if I understand the concept correctly.
Two factors determine the fluidity of the cell membrane
1) The CIS double bonds determine the fluidity of the membrane. The more cis double bonds you have, the more fluid the cell membrane will be.
2) cholesterol plays an...
what is the difference between amino acids on their own and amino acids that have been incorporated into a polypeptide chain?
My answer is that amino acids on their on do nothing. However when they interact they create a protein which eventually takes on a particular function.
why does...
Bio Help!
what is the difference between amino acids on their own and amino acids that have been incorporated into a polypeptide chain?
My answer is that amino acids on their on do nothing. However when they interact they create a protein which eventually takes on a particular function...
Thank You AKG, I need help with the following problem if you care to assist.
the integral of 2 sin(lnx)+ 1/x. u=ln(x). du=1/x so 2sin(u)+du=-2cos(u)+u=-2cos(lnx)+ln(x)
also the integral(from pi/2 to 0) of sinx+tanx.
I get this is really sin(x)+sin(x)/cos(x). so u=cos(x). du=-sinx dx...
find the series for sin(x)/x. I believe this would just mean dividing the series representation of sin(x) by x, therefore sin(x)/x=1-x^2/3!+x^4/5!-x^6/7!...=sigma(x^2n/(2n+1)!)
how then would we find the radius of convergence and interval of convergence.
is the series n/sigma(1/k(k+2))...
Hi Doc Al,
Almost solved it
the a i use here will be angular acceleration
so
net torque=T*R or
Ia=T*R
Ia=(mg-mRa)R
Ia=mgr-mR^2a
Ia+mgR^2a=mgr
a(Ia+mR^2)=mgr
a=mgr/I+mR^2
for acceleration the tension is a=mR^2g/(I+mr^2)
An object of mass m is tied to a light string wound around a wheel that has a moment of inertia I and radius R. The wheel bearing is frictionless and the string does not slip. find the tension and the acceleration of the object.
I think mg-T=ma
and that I=MR^2
thats all i know can...
Chubby Santa(mass 100kg) decides to have some fun and slides 9.0 m down a snowy roof)starting from rest. There is a 135 n fricitional force between santa and the roof. After sliding the 9.0 meters he collides with and clings to, an elf (mass 50kg) who was sitting on the roof edge. They both fall...
A 130-KG tackler moving at 2.5 m/s meets head on(and tackles) a 90 k-g halfback moving at 5.0 m/s. What will be their mutual speed immediatley after the collison?
someone please check my work
m_{1}v_{1}+m_{2}v_{2}=v'(m_{1}+m_{2})
so v'=\frac{325+450}{220}
v'=3.52 m/s
A billiard ball of mass m_{A}=0.400kg moving with a speed v_{A} =1.8m/s strikes a second ball, initially at rest, of mass M_{B}=0.500kg. As a result of the collision, the first ball is deflected off at an angle of 30\deg with a speed of v'_{A}=1.1 m/s.
a) taking the x-axis as the positive...