Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 (2, —5, — 2), а (2, -5,-2), and c а—

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: 1. f(x, y) = 1+ 2x/y, (3,4), v= 4î – 3ĵ |

A: According to our company policy we can answer only first question and rest can be reposted. Thanks

Q: Find the derivative of the vector function r(t) = ta x (b+tc), where а 3 (—3, —4, — 2), b — (—2, —5,…

A: Topic:- vector and it's derivatives

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Find the directional derivative of the function f: R2→R,  f (x, y)= xy2 + x2y in the direction of…

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Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

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Q: find the velocity and acceleration vectors in terms ofur and uθ . r = 1/θ and dθ/dt = t2

A: Given Data The position vector is r=1/θ. The change in angle vector is dθ/dt=t2=2t.   Integrate the…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Find the directions in which f increases and decreases most rapidly at P.. Also, find the derivative…

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Q: (a) (10 pts.) Consider the function h(x, y) = r³ – x sin(2y – 2) + y? Calculate the derivative of…

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Q: Find the directional derivative of the function f (x, y) = 7x² – 2.xy at the point P,(-3,5) in the…

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Q: Find the directional derivative of the function f (x, Y, z) = 6x² –- 2xy + yz in the direction of…

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Q: find the directions in which ƒ increases and decreasesmost rapidly at P0 and find the derivative of…

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Q: Find the derivative of the vector function r(t) = In(18 – 12) i+ v5+tj- 9e“ k r' (t) = (

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Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (a) If Ř(0) = (-1,4,-5),…

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Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the…

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1,…

Q: nd the directional derivative of the function f(z, Y) In(z +y) at the point (3, – 1) in the rection…

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Q: Again just working on examples for exam, would like to see how you solve this to see if it is the…

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Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: Find the derivative of the vector function r(t) = In(13 – t²)i+ y13+tj– 9e 3 k r'(t) = {

A: The given vector function is                                   r(t)=ln13-t2i+13+tj-9e-3tk

Q: c) Find the directional derivative of f(x,y) = 10 – 3x2 + at P(2,–3) in the direction of the vector…

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Q: Find the directional derivative of function f(x y)=x°e' at the point (1,1) and direction of vector…

A: Given:       fx,y=x2ey    at the point 1,1 and direction of vector v=2i      fxx,y=∂∂xx2ey…

Q: Find the derivative of the vector function r(t) = ta x (b+tc), where (5,-4, 1), b = {(-4, –3,1), and…

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Q: Find the second derivative of the vector-valued function #(t) = (6t + 4 sin(t))i + (5t + 7 cos(t))3…

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Q: find the derivative of f(x, y) = x² + xy at P,(1,2) in the direction of the unit vector u = i+ V2

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Q: Find the derivative of the vector function r(t) = In(13 – ) i+ v3 +ij+ le- k r' (t) = (

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: In this first we calculate derivative of g function then get a unit vector in the direction of v. So…

Q: Find the directional derivative, fv, of the function f (x, y) = 7+ x/] at the point P(1, 9) in the…

A: Directional derivative is the dot product of the normalized vector and gradient.It is denoted by fv

Q: Find the directional derivative of the function f(x, y) = 2x2y + 6xy at (1, 1) in the direction of a…

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Q: Find the directional derivative of f(x, y) = 10 − 3x^2 + (y^4)/4 at P(2, −3) in the direction of the…

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Q: Q1: Find the derivative of f(x,y,z)=x^3-xy^2-2z at point P_o (1,1,0) in the direction of vector V…

A: Q1:   Given: f(x,y,z)=x3-xy2-2z with the point P0 (1,1,0)v=2i-3j-6kTo find:The directional…

Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector…

Q: Q1: Find the derivative of f(x,y,z)=x^3-xy^2-2z at point P_o (1,1,0) in the direction of vector…

A: Solution:-

Q: Find the second derivative of the vector-valued function →r(t)=(5t+7sin(t))i+(7t+2cos(t))

A: Given that: r(t)=(5t+7sin t)i+(7t+2cos t)j

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (a) If R(0) = (-1,4,-5),…

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Q: Find the directional derivative of the function f = In (x² + y2) at the point P(4,5) in the…

A: By Bartleby policy I have to solve only first one as Q)3)a) and Q)3)b) are unrelated  problems.These…

Q: Find the derivative of the vector function r(t)=ln(13−t^2)i+√12+t j−5e^−1t k

A: Find the derivative of the vector function r(t)=ln(13−t^2)i+√12+t j−5e^−1t k

Q: Find the derivative of the vector function r(t) = ta x (b+ tc), where a = (4, -1,5), b = (-3,-3,-1),…

A: Given, the vector function      r(t)=ta×(b+tc),where       a=4,-1, 5, b=-3,-3, -1, and  c=1, 2, 2,…

Q: Calculate the derivative of the vector-valued function, r(t) = (t')i + (sect)j + (2')k

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Q: Find a unit vector that is normal to the level curve of the function f(x, y) = 5x + 6y at the point…

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Q: Find the directional derivative of o = x2 + 2xyz – yz? at the point (1, 1, 2) in the direction of…

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Q: Find the derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, −12t) (a) If R(0) = (-1,4,-5),…

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Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 4t - t, In(t) r'(t)

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Q: Find the directional derivative of the function f(r, y) = 1+5x/j at the point (5, 1) in the…

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Q: Find the directional derivative of the function f(x, y) = x²y° in the direction of the vector at…

A: Concept:

Q: Find the directional derivative of the function f(x, y) = In(x² + y*) at the point (– 3, – 1) in the…

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Q: Find the derivative of the vector function r(t) = ta x (b + tc), where a = (-5, 3, 2), b = (1,2,…

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