For the function f(x, y) = (3x + 4x')(k'y² + 2y) where k is an unknown constant, if it is given that the point (0, –2) is a critical point, then we have k = 1. elect one: rue Ge

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A: In this,we cam find the expression for the temperature using given initial temperature distribution.

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A: To find - The temperature u(x,t) in a rod whose length is L=2 and if the ends are insulated from 0…

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Q: 5- Use the secant method to finlasoutiou for X= 0sx -(with initial value (Xo=0.5, X,zt

A: Given that x = cos x Here cos(x)=0Let f(x)=cos(x)

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A: By uaing eular method

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Q: d) The stable critical point is %3D while the unstable one is y =

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Q: Q4) The critical points of the function f(x, y) = 8y³ – 12xy + x³ O (0,0) and (1,2) O (0,0) and…

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A: Given, y''-2y'+1=e2xx+1. The objective of the problem is to obtain the value of the Wronskian if…

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Q: A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x< 175:…

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Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

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Q: Solve the given optimization problem by using substitution. Minimize S- xy + xz + yz subject to xyz…

A: S=xy+xz+yz  =xyzz+xyzy+xyzx

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Q: The function k(x, y) = e cos(2x) has a critical point at (0,0). What is the value of D at this…

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Q: 2. Consider the function f (x, y) = x² (y + 1)² + k(x + 1)²y². (a) For what value(s) of k is the…

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Q: 2. Another equation that has been used to model population growth is the Gompertz equation dy/dt =…

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Q: 39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

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Q: Consider the function f(x, y) = x²(y + 1)² + k(x + 1)²y². (a) For what value(s) of k is the point…

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