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mathlilly:
Find the second order Taylor polynomial given f(x,y)=1/(x^2+y^2+1), a = (1,1). I was able to find first order, but I can't get the second …
 updated one year ago
 No Medals Yet
Mathematics

mathlilly:
Find the second order Taylor polynomial given f(x,y)=1/(x^2+y^2+1), a = (1,1). I was able to find first order, but I can't get the second …
 updated one year ago
 No Medals Yet
Mathematics

mathlilly:
Let g: R3 →R2 be a differentiable function such that g(1, −1, 3) = (2,5) and the following equation is true.
Dg(1, −1, 3) =
…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

mathlilly:
Let g: R3 →R2 be a differentiable function such that g(1, −1, 3) = (2,5) and the following equation is true.
Dg(1, −1, 3) =
…
 updated one year ago
 No Medals Yet
Mathematics

mathlilly:
how do you find the partial derivative of a function with chain rule and substitution?
 updated one year ago
 1 reply
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Mathematics

mathlilly:
how do you find the partial derivative of a function with chain rule and substitution?
 updated one year ago
 1 reply
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Mathematics

mathlilly:
what exactly do we find a gradient for and how do you find the gradient of a function?
 updated one year ago
 2 replies
 1 Medal
Mathematics

mathlilly:
why does x^2+y^2 = 4c have no real solutions? (book example about functions of several variables and graphing functions)
 updated one year ago
 3 replies
 2 Medals
Mathematics

mathlilly:
why does x^2+y^2 = 4c have no real solutions? (book example about functions of several variables and graphing functions)
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

mathlilly:
Show by verifying the hypothesis of the Existence and Uniqueness Theorem that the initial value problem x dot = 1+x^2, x(0) = 0 has a unique…
 updated one year ago
 1 reply
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Mathematics

mathlilly:
Show by verifying the hypothesis of the Existence and Uniqueness Theorem that the initial value problem x dot = 1+x^2, x(0) = 0 has a unique…
 updated one year ago
 2 replies
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Mathematics

mathlilly:
Consider the function f(x) ={ 1, if x<= 0 2, if x>0}
Show that the differential equation x dot = f(x) has no solution on any open interval…
 updated one year ago
 7 replies
 1 Medal
Mathematics

mathlilly:
Show that g(x,y)= (x^2y^2)/(x^2+1) is a continuous function. I know from regular calc that if I have a composite function where both functi…
 updated one year ago
 1 reply
 1 Medal
Mathematics

mathlilly:
How do you solve x'+3x = t + e^2t? Tried separation of variables, but didn't work
 updated one year ago
 5 replies
 3 Medals
Mathematics

mathlilly:
How do you find the several level curves with one function and determine their height?
 updated one year ago
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Mathematics