Recent content by munkhuu1

thank you. :approve:

thank you, and so do i need to see if df/dx and df/dy exists? or something else?

Homework Statement lim(x,y)-(1,0) ln((1+y^2)/(x^2+xy)) Homework Equations The Attempt at a Solution if i just substitude x and y i get ln (1)= 0 so is the limit 0?

Homework Statement T(x,y,z)=8x^2-7xy+7xyz a. find the rate of change of t at point p(-1,1,-1) in the direction u=<8,10,-8> b. which direction does the temperature increase fastest c. find the maximum rate of increase at P. Homework Equations gradient of T=(16x-7y+7yz, -7x+7xz, 7xy)...

but how would i use time to solve, there is no t value. can you go little deeper about how to do it? thank you.

Homework Statement if f(x,y,z) indicates electrical charge in the water at position(x,y,z) and the gradient is <12,-20,5>, in which direction should the shark swim to find its prey? Homework Equations The Attempt at a Solution is the answer in the direction of <12,-20,5> im...

thank you. just one more thing. could you walk me through implicit differentiation on this problem? i start off when i find dR/dh. i got .55+0=crDr/dh ? is this right or am i missing something?

yea i did found the gradient which was <-1,-2.4> i just wasnt sure how to get direction from this.

Homework Statement R=1/(.55/c+.45/h) find partial equations respect to c. and respect to h use implicit function differentiation of the reciprocal of R to answer what is the differential change in R when c=20 h=30 and c changes to 21 Homework Equations is there any way to make R...

is the direction just gradient of (500,300) which is <-1,-2.4> or do i find the difference of the 2 points and find gradient of (200,-150) = <-.6,-1.2>

thank you very much, but just few questions. Why is the answer for c and d are negative? and when it says express your answer in whole animals, i subtract 23.83 from 26.67 and get 2.84. Is the answer 2 or 3?

Homework Statement surface of mountain is modeled by h(x,y)=5000-0.001x^2-.004y^2. Climber is at (500,300,4390) and he drops bottle which is at (300,450,4100) What is his elevation rate of change if he heads for the bottle? In what direction should he proceed to reach z=4100 feet the...

Homework Statement 40mm wide blood vessel. and flow is fastest in the middle of the vessel which is 3mm/sec. Blood flow speed is f(x)=3sin(pix/40) where x is the distance from the wall. and tumor cell on one side is swept into to blood and movies 5mm/s directly across the vessel. the tumor...

Homework Statement Calculus question about tag and recapture? Here is the problem, i tried to do most of it but don't understand what its asking on c and d. Tag and recapture is used to estimate populations of animals in the wild. First, sample of animals are captured, number=n. They are...