Differential equation problems...
Hey everyone,
Having some problems with these differential equations. If someone could point me in the right direction I would be really grateful.
1) dy/dx=(5x+12y)/3x with initial conditions y(1)=5.
I know this is a seperable equation but I'm not sure of...
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We did an experiment a while back to test the affect of increased concentrations of chloroplast on photosynthetic activity. It seemed intuitive to think that increased chloroplast concentration would yeild increased photosynthetic activity. To measure photosynthetic activty we...
Hey,
I need some help with an arc length question. It is:
Find the length of the curve:
x=3y^(4/3)-(3/32)y^(2/3) from y=125 to y= 216
So i know i need to use Arc Length=sqrt(1+(dx/dy)^2) but i can't seem to get the right answer.
I have the derivative as 4y^(1/3)-(1/16)y^(-1/3). Squaring...
Hey everyone,
I've been having a little trouble with a few HW questions. If you guys could point me in the direction (ie- help me find the method to solve) I would really appreciate it. The q's are:
1. The definite integral from 3 to 8 of- x^4(ln3x)dx
For this one I am not sure wether I...
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I'm not sure if this question warrants the "advanced physics" forums, but it would be nice if some of you smart people could give me a hand with this problem.
Two 5g spheres are charged to +100nC and hung from 1m long strings. What is the angle produced due to the repusive...
Hey everyone,
I'm having some trouble with a couple HW questions. A little help would be greatly appreciated.
1. Find the derivative of:
y=2(arcsin(x^2))
I thought you had to make a u-substition of u=x^2, but it doesn't seem to work out. If anyone could point me in the right direction that...
I don't really understand that Tx. If i let U=5xt6 i end up with x^2(U)^(1/2)(du/5) which doesn't seem to help me in any way. Some more advice would be good! :smile: I appreciate the help!
Oh yes...
So is the final answer:
-4cosx+3ln(abs)secx?
Thanks for pointing that out. (i think i fixed it)
Another quick question that I can't seem to figure out...
Find the definite integral from 0 to 1 of:
x^2((5x+6)^(1/2))
I thought this may be another substitution question but I...
ok... so i tried that.
so with the substitution you end up with du/u whose antiderivative is -ln(absolute value)U. U is cosx so it is -ln(abs)cosx. Moving the negative sign into the logarithm gives ln(abs)secx. So my final answer would be...
4cosx+3ln(abs)secx. I am not to sure this is right...
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I can't seem to figure out how to do this integral. If anyone could help that would be great. I would appreciate some hints/advice, rather than just the answer. Thanks!
The question is:
Evaluate the indefinite integral:
(4sin(x)+3tan(x))dx
Ok... So i know you can take the...
Hey guys and gals,
Just wondering if you could tell me wether or not their are any environments that give exothermic animals an advantage over endothermic ones. I was thinking that one with a relatively constant annual temperature (ie-desert, underwater) might suit this type of animal well. I...
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I was looking around the graduate studies website of my current university and came across some things that brought up questions. Wondered if you guys could help me out. First off it said that people studying for a MSc would be gaurenteed $18 000 and $20 000 for PhD. Does this...
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I just started the first year of my undergraduate degree in biology this year. I chose biology because I am scientific by nature, and find the science of life most interesting. I was just wondering if any of you guys could give me any advice on which direction to go with my...
Hey everyone,
I know this problem is easy but I am having some trouble. If someone could point me in the right direction i would be really grateful.
Suppose (vector)C=(vector)A + (vector)B
a) under what circumstances does [A]=[B]+[C]?
b) Could [C]=[A]-[B]?
( [ ]= absolute value)
Ok...