1. Use a second derirative test for biviriates to determine all local extrema for f(x,y)=3x^2-4xy+3y^2+8x-17y+30

Expert Solution

milcah answered 1 year ago

How to find the local extrema for y^3- 3yx^2 -3y^2-3x^2+1.

how many local extrema of each type does f(x,y) have if f(x,y)= 4x-((x^3))+3y-y^3?

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema...

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema or saddle points. Use the D test to classify. Give your answers in (x,y,z) form. Use factions, not decimals.

Use Lagrange Multipliers to determine maximum and minimum. f(x,y,z)=(3x^2)+(3y^2)+(3z^2) subject to xyz=2

f(x) = 10/cos-1(x). Use calculus to determine: a) all critical values b) any local extrema c)...

f(x) = 10/cos-1(x). Use calculus to determine: a) all critical values b) any local extrema c) any absolute extrema d) the intervals where f is increasing/decreasing e) any points of inflection rounded to the thousandths place f) intervals where f is concave up/down No interval was specified so I assumed 0<x<2pi also I didn't get any concavity not sure if I'm right or not. I got x= pi as the critical value as well as the relative and absolute minimum...

Find and classify the local extrema of the function f(x,y) = (x^3)y+12(x^2)+16(y^2).

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min B) Find (x,y) coordinates of point(s) of inflection C) Define the intervals of concavity

let f(x,y)=x^2y(2-x+y^2)-4x^2(1+x+y)^7+x^3y^2(1-3x-y)^8 find the coefficient of x^5y^3

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19...

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19 -7x+5y=4 -2y+3z=3 e. -x+2y+z-5=0 3x-y-z+7=0 -2x+4y+2z-10=0 f. 1/x+1/y+1/z=12 4/x-3/y=0 2/y-1/z=3

2. For the curve y = 3x / x^2-1 determine each of the following and use...

2. For the curve y = 3x / x^2-1 determine each of the following and use all of the information to draw its graph and notate the information on it. (a) Find the domain of the function, as well as any x or y intercepts and symmetry. (b) Find all vertical (2 of them) and horizontal (1) asymptotes. Support your work with limits. (c) Use the first derivative to determine the maximums, minimums and intervals of increase/decrease of f(x). (d)...

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