Find the linearization L(x) of f(x) at x = a. f(x) = Vx +15, a =7 %3D L(x) =

Q: Find the first partial derivatives of the function

A: NOTE : As you have uploaded multiple questions without specifying which one to solve, we will answer…

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. xp -x7 dt The…

A: Determine whether the equilibrium at x=0 is stable,unstable orsemi-stable.dxdt=4x2-x7

Q: Find the second-order partial derivatives of the functions ƒ(x, y) = x + xy - 5x3 + ln (x2 + 1)

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Q: Find the first partial derivatives of the function.   f(x, y)=-5xy

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Q: f(x, y) = xVy + y²; (2, 1)

A: The function is fx,y=xy+y2.   Determine the partial derivative with respect to x.…

Q: The following linear model dx x(0) = 1000 6x, dt describes growth of populations Select one: True…

A: True.

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: Find the partial derivative of f(x,y) = 5x3y2

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Q: COE Compute the mixed second order partial derivative of z =

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Q: Find the first partial derivatives of the given functions. 1. z = x+y / x-y 2. z = ln (x2 + y2)

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Q: (b) Find the first order partial derivative af and for the function f(x, y) = x/y –x²y+ y²

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Q: Compute the partial derivative if z = A) - 3ry? B) 1 C) D) Does not exist.

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Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: Consider the discrete model Xn+1 = -Xn- Find the equilibrium points and determine their stability.

A: We are given the following discrete model xn+1=-xn3-xn. ----(1) Let us first find the equilibrium…

Q: Find the first partial derivative of  T(p,q,r) = pln(q+e^r)

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Q: Find the first partial derivatives of the function z = (2x + 3y)10.

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Q: Find the partial elasticities of z = x'e.

A: Introduction: The partial elasticity of z with respect to x is given by, εx=zxxz The partial…

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: In x Find the linearization of f(x) = xmª around x = e. Round the gradient and y-intercept, whenever…

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Q: What is the stability of equilibrium points of A and B? Is the energy of B higher than A?

A: If the vector field lines converge to the point or stay close to a point at all times the point of…

Q: Find the first order partial derivatives dx of the function: f (x, y) = (6x y – 6)²

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Q: 6. State whether the equation is ordinary or partial, linear or nonlinear, and give its order. (x +…

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Q: Find the four second partial derivatives of ƒ(x, y) = x2y3.

A: Given function: f(x,y)=x2y3  The four-second partial derivatives of ƒ(x, y) : fxx , fyy , fxy , fyx

Q: If f is a function of x and y such that fxy and fyx are continuous, what is the relationship between…

A: Function: fx and fy are continuous function. Let us choose f(x,y)=x3y3+πxy Here fx=3x2y3+πy…

Q: ztg(x+y+z)- = 0

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Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

Q: (d) Find the second-order partial derivatives of the function w = x2 + y

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Q: 2: Find the orthogonal trajectories of xy=C.

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Q: 1- Find the mixed partial derivative: w = e* +x In(v)+y ln(x)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider a population of tuna T that is growing logistically according to the equation:…

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Q: Consider the system: dx/dt=4x(1-2x)-xy dy/dt=2y-4xy (a) Are these species predator-prey or…

A: Consider the given system of equations.

Q: b. Find the partial derivatives fx ,fy of the f (x,y) = x². e²y+3x

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to…

A: Given, Ux,y=x+3y+5 with the constraint Vx,y=3x+2y-30.Using Lagrange mulitplier'sUx=λVxy+5=λ3y=3λ-5…

Q: Find the first partial derivatives of the following function. f(x,y)%3D2x

A: Given,  f(x,y)=2x8y

Q: Find the partial derivative. 3p f (p, q) = e af

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Q: 8. Find the orthogonal trajectories of y = cx CX

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Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…

Q: f(x.y.2) = x²yz° + xy - z

A: To  Find the first partial derivatives of the given function

Q: x+2 Find the linearization of f(x) = 6 - 21 dt at x=4. 1+t 6

A: Given a function f(x) at x=4 We have to find the linearization of f(x) at x=4 For solving this 1st…

Q: Find the orthogonal trajectories of У — сх CX

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Q: V3 (9) 1 x' x(0) = V3 - 1

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Q: Find the partial derivative. f(p, q) = e=

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Q: Find the second partial derivatives of the given function: f (x, y) = x2 + y – e*+y

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Q: Find the first partial derivatives of the following function. f(x,y)-./ 3x2 + 8xyty2

A: To calculate the first partial derivatives of the given function of two variables

Q: Finding the orthogonal trajectories of y? = x² (1 – cx)

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Q: f(x) = Ae (x-b)2 2a2 - f(x) z e° ze-x²

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