Q: Examine the differentiability of the function f(x)=|cosx| at z 2 %3D
A: Given: f(x)=|cosx|
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A: Given fx,y=lnx3y6 at (4, 3) The linear approximation in 2 variables is given by Lx, y=fa,…
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A: Given: f(x,y)=lnyx2 fx=∂∂xlnyx2 Treating y as constant variable…
Q: 4xy* :- find f,,f, at point (4,1) for f(x,y) = x’e**Y
A: I have used partial differentiation
Q: Find the direction derivative of f(x, y, z) = x²y -zx -yx at the point (1,-1,1) in the direction…
A: Directional derivative using gradient
Q: Find the linearization at x = a. IT f(x) = sin³ (x), a = 4
A: Given, The linearization at x=a. fx=sin3x, a=π4We know that, The…
Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized? |
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Q: What is the maximum slope of f(x,y,z)=yex-x2sin(z) at the point (0,7,5)?
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Q: Find the Directional derivative of Hhe function fcauy.)= n (x好) 1- aut point (1,2,1) in the…
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Q: What is the maximum slope of f(x,y,z)=ye^x-x^2sin(z) at the point (0,7,-3)?
A: Given the function fx,y,z=yex-x2sinz and the point 0,7,-3. Computing the partial derivatives,…
Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction ef 4i - 3i
A: The directional derivative of a function f(x, y) in the direction of the unit vector (a, b) is given…
Q: Solve ux – uy +yu = 0, where u is a function of x and y. %3D
A: Given: ux-uy+yu=0. The objective is to solve u, where u is a function of x and y.
Q: Find the direction derivative of f(x, y, z) = x²y - zx -yx point (1,-1,1) in the direction 3i+4k %3D…
A:
Q: Find the direction for which directional derivative of f (x,y) = 3x² – 4xy + 2y² +29 at (-2,3) is…
A: Formula: The maximum directional derivative of f(x, y) at (a, b) is given by ∇f(a, b) and direction…
Q: Find the linearization of y=√x at a=49. Then use your linearization to approximate √56. Show work
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Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²
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Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 sin(4x - 6y)).…
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Q: What value for a will make sinx { ,X # 0 2x f(x) = %3D 3D ,X = 0 a continuous function?
A: For a function f(x) to be continuous at x = a,limx→a-f(x) = limx→a+f(x) = f(a)
Q: Which direction is the directional derivative of the function f (x,y, z) = x2 – 2yz at point…
A: Solution: The function is fx,y,z=x2-2yz The point is P1,1,1 We have to find the direction in which…
Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…
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Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized?
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Q: The linear approximation to 1 over sqrt(5-x) at x=0 is y=?
A: To find the linear approximation at x = 0 to the function 1/sqrt (5–x).
Q: so by an = 0 , does the divergence test apply ?
A:
Q: • Find the direction in which f(x,y) = yeY increases most rapidly at the point (0, 2). %3D
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Q: Show that the function defined by xy √x²+y² f(x, y) {{ = 0 if (x, y) = (0,0) is not differentiable…
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Q: What does it mean for the differentiability of a function if only one of the Cauchy-Reimann…
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Q: Assuming y cos (3xz) = 5 defines z as a function of x and y. Differentiate
A: we have to derivative
Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate 9.2 . %3D
A: topic - tangent line approximation note :as per bartleby guidelines we are supposed to answer only…
Q: .Find the estimate for the root of f(x) = sin x+ cos (r+1)-1using Bisection methodx, = 1.5, X=2 with…
A: Solution
Q: 1. Find the directional derivative of the scalar function f = yzx^2 + 4xz^2 at the point P(1,-2,-1)…
A:
Q: 2 - What is the directional derivative of the function f(x,y,z) = x3 - 2xy +z at point Ao= (1,1,0)…
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Q: Find the maximum value of the directional derivative of the function f(x, y) = tan at the point…
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Q: What is the directional derivative of the function f(x,y) = 2xy- 3y2 at point po= (5,5) in the…
A: Givenf(x,y)=2xy-3y2 ; p0=(5,5) ; u=4i+3jWe need to find directional derivative Duf(5,5)where…
Q: The directional derivative of f=8x²y-2xy²+3z at point P(1,1,2) in the direction 2âg+2ây-âz is
A: First we find the gradient of the function f and then unit vector.
Q: EXERCISES 2: Find the derivative of the function at Po in the direction of A. 1. f(x, y) = 2xy –…
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Q: A heat-seeking particle is located at the point (2, −2) on a metal plate whose temperature at (x,y)…
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Q: 2an-butn Converge bey to
A: The given sequence is an.bnn=1∞ we observe that there is N1>0, so that when n>N1, we have…
Q: 3. Let f(x, y) = In 2x + 4y, find the directional derivative of f(x, y) in the direction of at the…
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Q: , (a) Find the directional derivative of at (-2,1) in the direction u = ?-j. X.
A: Since you have asked a different question. I am answering the first one. Please post the question…
Q: Find f'(x)'f f (x)= arctan (Inx) %3D
A: Using composite function formula.
Q: Sketch the domain of the function. f(x, y) - sin 1(x + y) y
A:
Q: 2 - What is the directional derivative of the function f(x, y, z) = x° - 2xy + z point A, = (1,1,0)…
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Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)
A: answer is in next step. please give a like !!!
Q: Find the linearization of f (x) = xe¯* at a = 0. (Hint: Remember thne product rule.)
A: Given : fx = xe-x2
Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)
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Q: 4. What is the direction in which the function f(x, y) = yx² -- decreases most rapidly at the point…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)
A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…
Q: 6. y 45
A:
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