Using an appropriate linearization, the local linear approximation of = T+ tan a at –T IS Select one: a. tan a s 1 + 2n b. tan a sa c. tan z s I+ d. tan z I – T

Q: Use the Chain Rule to calculate f(r(t)). dt f(x, y) = x³ - 5xy, r(t) = (cos(4t), sin(5t)), t = 0…

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Q: find the linearization L(x, y) of the functionƒ(x, y) at the point P0 . Then find an upper bound for…

A: Given, f(x,y)=xy-3y2+2,   P0(1,1) Linearization of function at (a,b) is L(x,y)…

Q: Find the linearizations L(x, y, z) of the functions in Exercise atthe given points.ƒ(x, y, z) =…

A: To findLinearizations of f(x,y,z)=tan-1xyz at (1,0,0) , (1,1,0) and (1,1,1)

Q: Use the local linear approximation of f(x, y, z) = In(xz + y) at (2, -1, 1) to approximate f(1.98,…

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Q: Use the chain rule for one independent variable Question Let w(x, y, z) = xy cos(z), where x = t, y…

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Q: Let L(z, y) f(1, y) at (1, 1) . Then f-(1,1) = = y-2x +3 be the local linear approximation to O a. 3…

A: Topic:- partial differentiation

Q: Use the Chain Rule to find dz/as and dz/at. 2 tan(u/v), u = 5s + 2t, v = 25 - St

A: Proceed as shown

Q: The linear approximation for f(x,y)=Vy+cos?(x) at (0,63) is O L(x.y)=(65+y) 16 L(x,V)=(65-y)

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Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (b) Reparametrize R using…

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Q: - 34. f(x, y) = (1/2)x² + xy + (1/4)y² + 3x − 3y + 4 at Po(2, 2), R: x2 ≤ 0.1, y - 2 ≤0.1

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Q: Use the Chain Rule to find ôz/ðs and ôz/ôt. z = tan(u/v), u = 9s + 8t, v = 8s – 9t as az at

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Q: Use a local linear approximation of the function f(x) = VI cos[(V2x)T] approximate v3.98…

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Q: Find the linearization L(x,y) of the function f(x,y) = x - 5xy + 2 at Po(5,2). Then find an upper…

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Q: Use the Chain Rule to find dz/dt. z - x2 + y2 + xy, x = sin(t), y - 2e Use the Chain Rule to find…

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Q: Find the linearization L(x,y) of the function f(x,y) = x - 5xy +8 at Po(5,5). Then find an upper…

A: We have to find the linearization L(x, y) of the function f(x, y)  and then find an upper bound for…

Q: Using an appropriate linearization, the local linear approximation of f(x)%3D+ cos r at is 2.

A: To determine the linear approximation of the function.

Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: Solve by theorems of linearity and translation. f(t) = cos t + sin t

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Q: Use the Chain Rule to find dz/ds and dz/dt. Z = tan(u/v), u = 3s + 6t, v = 6s - 3t dz ds dz at Need…

A: Given z=tanuv , u=3s+6t , v=6s-3t

Q: Use the Chain Rule to find dz/əs and dz/at. z = tan(u/v), u = 8s + 3t, V = 3s 8t az as az Ət II

A: Given data: *z=tan(uv) *u=8s+3t and v=3s-8t The partial derivative of z with respect to s is given…

Q: Let f(x, y) = 8x + 2y2, r(t) = (cos(t), sin(t)). Use the Chain Rule to calculate f(r(t)). !! dt…

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Q: Find ow/@s and ôw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x S+ t, y =…

A: Given that function w=sin2x+3yx=s+t , y=s-tvalue s=0 ,t=π2To find :∂w∂s,∂w∂tSolution…

Q: Using an appropriate linearization, the local linear approximation of f(z) = 7+ tan z at -n is…

A: Consider the function: fx=π+tanx…

Q: Consider the 2nd order equation 2²y+ Sin dy y² +y = Choose the ight assertion A) the linearized…

A: consider the 2nd order equation d2ydx2+sindydt+y2+y=0 this is a non linear homogenous differential…

Q: Using an appropriate linearization, the local linear approximation of f(x) n+ cos a at is %3D

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Q: Let L(r, y) = 2y – x + 3 be the local linear approximation to f(r,y) at (1,1) . Then f-(1,1) = %3D O…

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Q: If L(x, y) is the local linear approximation of f(x, y)= x²+2y3+ 9:" at (2, 1) where g(2, 1) = 4,…

A: Given: f(x,y)=x2+2y3+g(x,y)x g(2,1)=4 gx(2,1)=4 gy(2,1)=6 At (2,1).…

Q: Using an appropriate linearization, the local linear approximation of f(x) = r + sin z at – a is…

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Q: Using an appropriate linearization, the local linear approximation of f(x) = T + cos x at is Select…

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Q: Use the Chain Rule to find ôz/as and az/ðt. z = x°y5, x = s cos t, y = s sin t az as az at

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Q: Consider the function: f(z,y) = 1 – xy coS TY (a) Find the linearization L(x, y) of ƒ at (1, 1) (b)…

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Q: Let z = g(x, y) = e* cos y + y ln(x – 1). Use local linear approximation to estimate g(1.99,0.01).…

A: Given Z(x,y)=g(x,y)=excosy+ylnx-1

Q: Using an appropriate linearization, the local linear approximation of f(z) = T+ tan z at r is %3!…

A: Given:f(x)=π+tan(x), x0=π

Q: Using an appropriate linearization, the local linear approximation of f() = T+ cos z at COS I is -…

A: Use linear approximation

Q: 2. Let z = g(x, y) = e" cos y + y In(x – 1). %D Use local linear approximation to estimate g(1.99,…

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Q: Express dw/ðu and əw/dv as functions of u and v both by using the Chain Rule and expressing w…

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Q: Use the chain rule to find where dt z = x*y+ xy°, x = -2 + t", y = -2 – t? First the pieces: dz dz…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw…

A: Given query is to find the indicated derivative.

Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Using an appropriate linearization, the local linear approximation of f(r) + sin z at 27 is f(x) SI

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Q: Using an appropriate linearization, the local linear approximation of is f(x) = T+ cos r at 2.

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Q: Using an appropriate linearization, the local linear approximation of f(z)= T+ sin z at 27 is

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Q: Exercise 6 Using the method of variation of parameters, the particular solu- tion y, for the DE y" +…

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Q: Use the Chain Rule to calculate f(r(t)). dt f(x, y) = x³ – 5xy, r(t) = (cos(4t), sin(5t)), t = 0…

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Q: Find the linearizations L(x, y, z) of the functions at the given points. ƒ(x, y, z) = tan-1 (xyz) at…

A: Consider a function: fx, y, z=tan-1xyz……1   Given point, say A, is: A=1, 1, 1   On comparing A with…

Q: Use the Chain Rule to find dz/as and əz/dt. e cos(0), r = st, 0 = V 56 + t6 || dz as az

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Q: x + Y f(x, y, z) = x sin + e*% – 1

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Q: Use the Chain Rule to find ôz/ds and ôz/ðt. z = tan(u/v), u = 5s + 9t, V = 9s – 5t az as az at

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Q: 38. f(x, y) = ln x + ln y R: |x-1| ≤ 0.2, at Po(1, 1), y - 10.2

A: 38 Given function is fx,y=lnx+lny at P01,1. And R:x−1≤0.2, y−1≤0.2. We have to find the…

Q: Given: vector-valued function R(t) whose derivative R' (t) = (4t, 6t, -12t) (b) Reparametrize R…

A: Let's reparameterize vector value function R(t).