Use linearization to approximate In(1.2).

Q: Use linearization to determine an approximation of V1002.

A:

Q: Calculate F . dr, where C is the square of (1,1, 1), (–1,1, 1), (-1,–1,1) and (1,–1,1), with…

A: Let F→x,y,z=zex-yezi→+2cosy-xezj→+ex-xyezk→ and C is the square with vertices…

Q: 8. Find the orthogonal trajectories of vy = cx

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Q: 8. Find the orthogonal trajectories of Vy = cx

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Q: Find the linearization L(x) at x= a. f(x) = x+ a = - 1

A:

Q: Find the orthogonal trajectories of y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: 2ys = Cx

A:

Q: The linear approximation of e is

A:

Q: Find the Hessian of the function. Based on result in c), determine the types of stationary points…

A: We need to find the Hessian and stationary points of the function f(x,y)= x3+y2-2xy.

Q: The linearization at a = 0 to /3 + 9x is A + Bx. Compute A and B. A = B =

A: Given: f(x)=3+9x

Q: Find the linearization at x = a. f(x) = 6x®, a = 1

A: Linearization L(x) of function f(x) at a is given as L(x) = f(a) + f'(a)(x-a)

Q: Determine two functions, defined on the interval (−∞,∞)(−∞,∞), whose Wronskian is given by…

A:

Q: Find the orthogonal trajectories of the family of curve y = 3x+c,where c is an arbitrary constant.

A:

Q: Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

A: The regression model is  Yi = βXi + ui We have to show that β is conditionally unbiased.

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

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

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A:

Q: Obtain the orthogonal trajectories of xy = C and compute for the positive value of y at the point…

A: Solution

Q: find the linearization at x = a. f (x) = x4, a = 1

A: Given function: Using the formula of linearization of a function f(x) at x =a :

Q: Use chain rule to find az at (u, v) = (1, 1) if

A:

Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

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Q: Show that, as n → ∞, n^4/3^n → 0 linearly with rate 1/3.

A:

Q: Show f(x) = e2= and g(x) = x e²z linearly independent by finding its Wronskian.

A:

Q: Find the orthogonal trajectories of the following family: y = Ce-x

A: First differentiate then  solve

Q: In this exercise, determine the orthogonal trajectories of the families a and given curves, and draw…

A: We will find out the required solution.

Q: fx) =x+x, aニー Lcx) = ? (メフフ %3D

A: Given that fx=x+1x,      a=−1

Q: Find the linearization L(x) at x = a. 1 f(x) = - x - a = 1 %3D -

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Q: Determine if the functions Y1=e^{4x}senx and Y2=e^{4x}cosx are linearly independent or linearly…

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Q: Find the orthogonal trajection of the family of y=ax

A: In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of…

Q: Let D, be the linear transformation from C'(a, b] into C[a, b]. Find the preimage of the function.…

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Q: Find the orthogonal trajectories of a - =1; where 2 is an arbitrary parameter. a + 2

A: This is a question of the Differential equation.

Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

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Q: V26.9

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Q: Find the orthogonal trajectories of y² = cx³

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Q: fx) =x+x, aニー %3D LCx) = ? %3D

A: Our objective is to find the linearization L(x) at x=a.

Q: if the implicit function is x3=at2, find the d2x/dt2

A: if the implicit function is x3=at2, find the d2x/dt2

Q: Find the orthogonal trajectories of У — сх CX

A:

Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

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Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: Dx(f)=8x+5 Apply integration both side  ∫Dx(f)dX=∫(8x+5)dx   f(x)=(8x2)/2 + 5x +c (here c is the…

Q: Consider the linearizable functions as follows. Find new transformed variables (rª, yª, Bor B as you…

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Q: You invest to maximize utility: U = a, -À

A: Given information: The information ratio is 0.5. The risk aversion parameter is λ = 12. The utility…

Q: 8. Find the orthogonal trajectories of CX

A:

Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…

Q: 8. Find the orthogonal trajectories of y cx

A: