Q.2/ Test the following surfaces for maxima, minima and saddle point:- Z(x,y) = xy + 7x? – 12y°x? - 6x + 5

Q: Q2: Find the absolute maximum and minimum of the function f(x, y) = x² + y² on the closed triangular…

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Q: Find the points on the circle x? + y? = 1 in which f(x, y) = 4xy has an absolute maximum and the…

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Q: The skope intercept bm of teine with skope egal to 20 and yirteroept (0, 4) Dy - 2x - 36 -0

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Q: 12. Determine the local minima, local maxima, and saddle points of S(z, y) = r² – 4ry + 2y* + 1.

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Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…

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Q: Find local minima, local maxima, and saddle point of: f(x, y) = 4 + x³ + y3 – 3xy.

A: Given: fx,y=4+x3+y3-3xy Solution: fx=∂f∂x=3x2-3y=0  or y=x2 fy=∂f∂y=3y2-3x=0  or x=y2 Hence we get,…

Q: X 59° 17

A: We can find the value of 'x' in the below steps.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 8x – 6y on the circle…

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Q: x=y y = -x-X² Stability with draw

A: x˙=yy˙=-x-x3

Q: find the Lacal maxima Lo cal minimum and sadle point fexgy)=x+ xy+j+3X-3y+4 it

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Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy +…

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find…

Q: H.W: find the local maxima, local minima, and saddle point of the functions: 1. f(x, y)= x² + xy+ y²…

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 4y² = 60 Maximum…

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Q: Determine the convexity/concavity property of the following: (ii) f (x, y) = 2x² – y?

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Q: 2. Given the parabola f(x) = -(x+ 2)² + 4, find the x-intercept(s). x = -2, x = 4 x = 4 x = 0, x =…

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

Q: 7. Find and classify all stationary points of the function f(r, y) = 1 +y? - 12r + 6y-3

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Q: / Test the following surfaces for maxima, minima and saddle point: Z (x, y) = xy + 7x² - 12y x2 - 6x…

A: Maxima, minima and saddle points of two variable function can be calculated in following steps: 1.…

Q: Q2: Find the absolute maximum and minimum of the function f(x, y) = x² + y² on the closed triangular…

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Q: 1) Let f(x) = 1 + 2x³ - x and g(x) = 2x + b, for xeR, where b is a constant. a) Find (gof)(x). b)…

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Q: The point (2,-4) Is on the grauph of y= f(x) The point on the graph ot y- g(x),where gx)= 2€k) 1s?

A: That is,

Q: Determine the distance from the line y = x + 1 to the parabola y2 = x. (Hint: Let (x, y) be a point…

A: The shortest distance from the line y = x + 1 to the parabola y2=x. Equation of line y = x + 1is…