Question

In: Math

Find the value of Δz for the function f(x,y)=2x2+xy2+y at point (1,1). Use Δx=0.02 and Δy=0.02....

Find the value of Δz for the function f(x,y)=2x2+xy2+y at point (1,1). Use Δx=0.02 and Δy=0.02. Round to three decimal places.

Solutions

Expert Solution


Related Solutions

(1 point) At what point does the normal to y=(−1)+2x2y=(−1)+2x2 at (1,1)(1,1) intersect the parabola a...
(1 point) At what point does the normal to y=(−1)+2x2y=(−1)+2x2 at (1,1)(1,1) intersect the parabola a second time? ( equation editor Equation Editor , equation editor Equation Editor ) Hint: The normal line is perpendicular to the tangent line. If two lines are perpendicular their slopes are negative reciprocals -- i.e. if the slope of the first line is mm then the slope of the second line is −1/m
The tangent plane of   f (x, y)  =  4x2y − 5xy3 at the point (1,1) can...
The tangent plane of   f (x, y)  =  4x2y − 5xy3 at the point (1,1) can be expressed in the form z  =  ax + by + c. (a) What is the value of a? (b) What is the value of c?
Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...
Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the tangent line is horizontal. (x, y) = 0 (smaller x-value) (x, y) = (larger x-value) B) A straight line perpendicular to and passing through the point of tangency of the tangent line is called the normal to the curve. Find an equation of the tangent line and the normal to the curve y = x3 - 3x + 1 at the point (3, 19)....
Let x = (1,1) and y = (3,1). 1. Find an explicit hyperbolic isometry f that...
Let x = (1,1) and y = (3,1). 1. Find an explicit hyperbolic isometry f that sends the semicircle that x and y lie on to the positive part of the imaginary axis. Write f as a composition of horizontal translations, scalings, and inversions. 2. Compute f(x) and f(y). 3. Compute d_{H^2}(f(x),f(y)) and verify that f is an isometry.
Find the maximum and minimum values, and at what point they occur. A. F(x,y)= 25-16x-2x2+8y+4y2 over...
Find the maximum and minimum values, and at what point they occur. A. F(x,y)= 25-16x-2x2+8y+4y2 over the region bounded by x=5, y= -2, and y=x B. F(x,y)= x2y+3xy-4y+15x over the region bound by x=0, x=3, y= -4, and y=4
Find the oblique asymptote for the rational function f(x)= 3x3 - 27x2 + 60x / 2x2...
Find the oblique asymptote for the rational function f(x)= 3x3 - 27x2 + 60x / 2x2 + 2x - 40 Find the composite function g o f when f(x)= 3x-5 / x-1 and g(x)= x+6 / 4x-9 (I got 9x-11 / 3x-11)
Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2)...
Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2) on the disk D = {(x,y) | x2+y2⩽1}?
The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point...
The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point and show that it is not a saddle point. Indicate whether this critical point is a maximum or a minimum, and find that maximum or minimum value.
1.) Find the local maximum and minimum values and saddle point(s) (x,y,f) of the function. If...
1.) Find the local maximum and minimum values and saddle point(s) (x,y,f) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f (x, y) = xy − 5x − 5y − x2 − y2 2.)Find the local maximum and minimum values and saddle point(s)(x,y,f) of the function. If...
1-Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at...
1-Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real​ number, t, or state that the expression is undefined. SIN 11π/6 2-Use the​ (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real​ number, t, or state that the expression is undefined. COS π//6 3- Use the​ (x,y) coordinates in the figure to find the value of tan 4π/3 or state that the expression...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT