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related to: U

1. ### If z=(x+y)ey and x= u ^2+v^2 and y= u ^2−v^2, find the following partial derivatives using chain rule. Enter answers as functions of u and v?

Consider the function z=(x+y)e^y and x= u ^2+v^2 and y= u ^2−v^2. Recollect the chain rule: ∂z/∂ u = ∂z/∂x...y*e^y + e^y*∂/∂y*(x+y)= (x + y)e^y + e^y *1 =  = (x + y + 1)e^y x = u ^2 + v^2 ∂z/∂ u = ∂/∂ u *( u ^2+v^2) = 2u + 0 =  2u.  Treat v as constant...

2 Answers · Science & Mathematics · 03/10/2020

2. ### Linear algebra - Find an orthogonal diagonalization for A=UDU^T where U is an orthogonal matrix and D is a diagonal matrix?

The first instruction, in bold, implies that you should enter square roots in the format &quot;a^0.5&quot;. So try replacing (sqrt(3)) with 3^0.5 and replacing (sqrt(2)) with 2^0.5 For information,  you omitted a minus sign in a basis vector in your...

1 Answers · Science & Mathematics · 18/08/2020

3. ### Find the solution of the differential equation that satisfies the given initial condition.?

x * ln(x) * dx = y * (1 + sqrt(15 + y^2)) * dy u = 15 + y^2 du = 2y * dy x * ln(x) * dx = (1/2) * (1 + sqrt( u )) * du x * ln(x) * dx...2/3) * u ^(3/2) + C (1/2) * x^2 * ln(x) - (1/2) * int(x^2 * dx/x) = (1/2) * u + (1/3) * u ^(3/2) + C x^2 * ln(x) - int(x * dx) = u + (2/3) * u ^(3/2) + ...

2 Answers · Science & Mathematics · 23/06/2020

4. ### limits help?

...5) / arcsin(x^2) We have 0/0, so we can use L'hopital's rule u = arctan(x/5) tan( u ) = x/5 sec( u )^2 * u ' = 1/5 u ' = (1/5) / sec( u )^2 u '...

3 Answers · Science & Mathematics · 07/11/2019

5. ### If f(x)=ln|(1-x)e^(-3x)|, please find f '(2)=?

.... Let's try to break this down: y = ln|(1 - x)e^(-3x)| if we say: u = |(1 - x)e^(-3x)| then we have: y = ln( u ) This derivative is simple...

4 Answers · Science & Mathematics · 18/06/2020

6. ### i need help with math work(reposted)?

... POSITIVE, //      the parabola is CONCAVE UP ( U -shaped) so //      it won't have any maximum, but it will have a...

4 Answers · Science & Mathematics · 09/09/2020

7. ### Trig Equations and Identities Help?

a) III. is an identity because sin(2u) = 2sin( u )cos( u ) None of the others are identities which can...

2 Answers · Science & Mathematics · 27/07/2020

8. ### Pigeonhole principle - hard math problems?

... are kC2 ways to choose two different integers U ,V ( U <V) from S. Let a pair of...

1 Answers · Science & Mathematics · 09/02/2020

... perpendicular to the plane. determinate of i  j  k 2 2 1 2 -2 -4 is u = <-6, 10, -8>, and that's a normal to the plane. The...

2 Answers · Science & Mathematics · 12/06/2020

10. ### Differentiate y = x6 (x - 1)10 (x + 2)8. Express your answer in factored form.?

... k' = 6x⁵ m = (x - 1)¹⁰ for the chain rule, if we set: u = x - 1 and m = u¹⁰ We can get the first derivative of u in...

1 Answers · Science & Mathematics · 30/06/2020