4. Given the function f(x,y) = 4+x2 + y3 – 3xy. a. Find all critical points of the function. b. Use the second partials test to find any relative extrema or saddle points.
19. Find the critical points, relative extrema, and saddle points of the function. a. f(x, y) = x2 + y2 +2x – 6y + 6 b. f(x, y) + y2 c. f(x, y) = x2 – 3xy - y2 = x²
find an equation of the tangent plane and parametric equations of the normal line to the surface at the given point z=-9+4x-6y-x^2-y^2 (2,-3,4) Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+- Find the relative extrema. A) f(x, y) = x3-3xyザ B) f(x, y)=xy +-+-
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
QUESTION 23 The function f(x,y) = x3 – x- y2 + 2y has O A 1 saddle pt. and 1 local min. OB. 1 local max. 1 local min. OC. 2 saddle pt. OD. 1 saddle pt. and 1 local max. O E. 2 local min.
Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0) and (1,1) use the second derivative test to classify these points as local min, local max, or saddle point
[1] (10 points) Find the relative extrema and saddle points for the function f(x,y) = x+y? - 6xy +8y. 121 (10 points) Use Lagrange multipliers to find the maximum value of the function f(x,y)=4-x? -y on the parabola 2y = x² +2.
Find the partial derivative. f(x,y)= x3 + 6x²y + 3xy. Find fy(x,y). A. 6x² + 3xy? OB. x2 + 12xy +9xy? OC. 6x²y +9y? OD. 6x2 + 9xy
(8) Find the area of under the graph of y=x?, y = x between x = 0 and x =1. (9) Evaluate, (a) using trapezoidal rule, (b) using Simpson's rule: dx n=4 (10) Solve the initial value problem. f "(x) = x2 + x +1; f'(0)=2, f(0) = 3. (11) Solve : (x2+1) + 2xy = x' + x (12) Solve : i - celoy, y(t) =-2 (13) Find partial derivatives up to second order: f(x, y)=(x+xy+y)(x +xy+1) f(x, y)...
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...