Question

In: Math

Given the funtion g(x,y) = (e^x)(y)+sin(x/y). 1. Find the linearization of g(x,y) at the point (1,2)....

Given the funtion g(x,y) = (e^x)(y)+sin(x/y).

1. Find the linearization of g(x,y) at the point (1,2).

2. Estimate the value of g(1.01, 1.99).

Solutions

Expert Solution


Related Solutions

Find the directional derivative of a funtion f(x,y,z)=x^2+e^xyz at point P(1,0,2) in the direction from P...
Find the directional derivative of a funtion f(x,y,z)=x^2+e^xyz at point P(1,0,2) in the direction from P to Q (1,1,1). is this max rate of change ?
Find the vector equation of the tangent line to the surface f(x, y)=x/(1+y)+e^(x+y) at the point...
Find the vector equation of the tangent line to the surface f(x, y)=x/(1+y)+e^(x+y) at the point (-1,1,1/2) that is parallel to the xz-plane
Consider the function given as example in lecture: f(x, y) = (e x cos(y), ex sin(y))...
Consider the function given as example in lecture: f(x, y) = (e x cos(y), ex sin(y)) (6.2) Denote a = (0, π/3) and b = f(a). Let f −1 be a continuous inverse of f defined in a neighborhood of b. Find an explicit formula for f −1 and compute Df−1 (b). Compare this with the derivative formula given by the Inverse Function Theorem.
Find the linearization at x=a. f(x)=sin^7(x), a=π/4, (Use symbolic notation and fractions where needed.) Find the...
Find the linearization at x=a. f(x)=sin^7(x), a=π/4, (Use symbolic notation and fractions where needed.) Find the linearization of y=e^(√7x) at x=36. (Use symbolic notation and fractions where needed.)
Find the equation of the tangent line of the curve given by: y sin(6x) = x...
Find the equation of the tangent line of the curve given by: y sin(6x) = x cos(6y) at the point (pi/6 , pi/12).
Use logarithmic differentiation to find the derivative of the function: y= sqrt(x)e^(x^3) (x^4 +1)^9 sin x
Use logarithmic differentiation to find the derivative of the function: y= sqrt(x)e^(x^3) (x^4 +1)^9 sin x
Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4,...
Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4, 2).
find the volume of the region bounded by y=sin(x) and y=x^2 revolved around y=1
find the volume of the region bounded by y=sin(x) and y=x^2 revolved around y=1
Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) =...
Given: E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) = 0.2 Find a lower bound on (5 < x + y < 10). State the theorem used.
Let X and Y be random variables with finite means. Show that min g(x) E(Y−g(X))^2=E(Y−E(Y|X))^2 Hint:...
Let X and Y be random variables with finite means. Show that min g(x) E(Y−g(X))^2=E(Y−E(Y|X))^2 Hint: a−b = a−c+c−b
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT