Consider g(x) = - 5x²y³ 3x4 + 7y6¹ 0. " if (x, y) = (0,0) if (x, y) = (0,0)

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

A:

Q: Find the linear approximation L(x of the function f(x) =V1– at a = 0. L(x)=mx+b where m is - and b…

A:

Q: S (x, y)= I+x* + y? 1-x² - y? 2. Determine the points at which the function is continuous.

A:

Q: The curve crosses the x axis at A(2, 0) and at the point B(10, 0). The curve has a minimum at M(3,…

A:

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

A:

Q: A particle is moving along graph paper in a magnetic field. The intensity of the field at the point…

A: The intensity of field will show steepest descent in the direction opposite to the gradient…

Q: Consider g(x) = -5x²y³ 3x4 + 7y6¹ 0. " if (x, y) = (0,0) if (x, y) = (0,0)

A: If the limit of the function exists then it must be unique. To determine the limit of a two-variable…

Q: find where itin creasing awd deveas ihng also fî hl the alobal maximum and minimam. himan f…

A: Topic- application of derivatives

Q: Q1 Find thr relative maximum and minimum of: fx, y) = x² + y² + z?given that 9x? + 4 y² + 2z? = 36…

A: Consider the provided question,  minimize and maximize, fx,y,z=x2+y2+z2                        ....1…

Q: 14- Find the constants Q, R and S so that the graph of f(x)= Qx²+Rx+S has a relative maximum at…

A:

Q: x=y y = -x-X² Stability with draw

A: x˙=yy˙=-x-x3

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

A:

Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

A:

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

A:

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

A:

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

A:

Q: ) Verify the continuity of the function f(x, y) 26– 2x -- y at the point (2,-3).

A:

Q: 94: For the system presented by the function x +y+ 2 4xy. Calculate all the possible points at which…

A:

Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True…

A: The given function is f(x,y)=1+x2+y21-x2-y2

Q: Determine the vesulting equaton Determine the vesulting equaton after using the suitable…

A: We have to find

Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…

Q: The stationary value(s) of f(x) = x - 3x, x > -1 is (are): А. -1. В. -1, 1. С. 1 D. 0,-V3. V3.…

A:

Q: Let a,b be constants, a 0. If Y = aX +b, show that p(X, Y) = lif a > 0 p(X,Y) = –1 if a < 0

A: It is given that Y = aX + b We have to calculate the correlation coefficient between the variables X…