HOMEWORK 2 Class: Calculus II Deadline: 03.05.2021 1. Find the directional derivative of the function f(x, y, z) = 3e" sin(ry) in the direction of v = 3i - 4j + 12k.

Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

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Q: Compute the directional derivative of f(x,y) at the point P in the direction of the point Q. f(x,y)…

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Q: 20x at P(4,0) in the x + y Find the directional derivative of f(x,y) direction of Q(2, –1). NOTE:…

A: The expression for the directional derivative of the function f in the direction of u is:…

Q: Find the derivative of the function at Po in the direction of A. f(x.y,z) = xy + yz + zx,…

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Q: JOUS SE 1. Let F:R R? be defined by F(z,y, 2) = zy²e*i + (z+y++2)j. Then the derivative of F at the…

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

Q: 9-18 Find the directional derivative of f at P in the direction of a. 16. f(x, y, z) = y - Vr? + z?;…

A: The given function is: f(x,y,z)=y-x2+z2P=(-3,1,4)a→=2i^-2j^-k^

Q: 3. Find the value of the directional derivative at the particula point Po for the given function in…

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Q: Please do show complete solution. m. Find the directional derivative of the function f(x,y) = e* sin…

A: First find gradient then take dot product with vector

Q: Find the derivative of the function at Po in the direction of u. X-y g(x.y) = xy +3' Po(2, - 2), u=…

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Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3, - 3,…

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Q: Test Name- K20NRTIMTHI66 Time Remaining- of 30 The maximum value of directional derivative of the…

A: Given:         f=x2-y2+2z2       Find the partial derivatives of the function. fxx, y,…

Q: What is the derivative of y = V(1 + e) ? %3D V (e*) (1+ e*) %3D * y = (e*) (1+ e*) %3D y = (e*) (1+…

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Q: Current Attempt in Progress 2y Find the directional derivative of f(x, y, z) = at P(5, 2, -4) x + z…

A: Directional derivative of a function f(x,y,z) at P(a,b,c) in the direction from P to Q(p,q,r) is…

Q: Find the directional derivative of o(r, y, z) = r-zry? - z at the point Po = (1, 1,0) in the…

A: In this question, we find the directional derivative of the scalar function ∅(x,y,z)=x3-zxy2-z at…

Q: directional derivative

A: f(x1y)=Ax2+2Bxy+Cy2∇f(x1y)=(2Ax+2By,2By+2Cy)∇f(a,b)=(2Aa+2Bb,2Bb+2Cb)V=(b,a)||V|| = b2+a2u = V||V||…

Q: (iii) Find the directional derivative of f at the given point in the direction of v. f(x, y, z) =…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: In Exercises priate variable. , find the derivative of y with respect to the appro- 27. y = csc(x² +…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy+yz+ zx, Po(-1,1,2).…

A: Given :f(x,y,z)=xy+yz+zx

Q: Z-x D3: Find the directional derivative of f(x,y, z) at P(1, 0,-3) in the direction of a =-6i + 3j –…

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Q: Consider the function f(x.y) = 2 –-y, whose graph is a paraboloid (see figure). a. Find the value of…

A: fx,y=2-x23-y2Point 0,3Unit vector U^=-22,-22

Q: Find the directional derivative of f(x, y, z) = x² + y² - z at P:(4,1,-17) in the direction of a =…

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Q: Prob3: Find the derivative of the function at P, in the direction of A f(x,y,z) = (1.0.). = cos xy +…

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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…

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Q: (d) The directional derivative of f(r,y) = re-2y at the point (1,0) in the direction (1,3) is: A. B.…

A: The directional derivative of f(x,y)=xe-2y at the point (1,0) in the direction of (1, 3).

Q: %3D Find the derivative of y = Vsinx COS I 2sin z 1. -sin z H S00 5.

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Q: Find the directional derivative of the function at point P in the direction of v. 3 f(x, y) = In(x2…

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Q: c) Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d cx i) d dx o evEdt…

A: Given: ddx∫0xetdt=?ddx∫1xlntdt=?

Q: P1O.17 Determine the directional derivative of the function f(x,y, z)= J(x² + y*) in the direction…

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Q: estion 2 Find the directional derivative of the function g(x, y, z) = xye at P(3, 5,0) in the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(-5,-4,…

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Q: (c) y = h(z) = V4z (d) y = k(x) = %3D %3D %3D

A: c) Consider the given function, y=hx=4x=22x=2x Differentiate on both sides w.r.t x, dydx=ddx2x=2ddxx…

Q: b) Let G = y what is the directional derivative of G at point (2,-1,1) in the direction of i +2j -…

A: NOTE** As per bartleby guidelines for more than one question asked only one is to be answered please…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: c) Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d i) da So evEdt d ii)…

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Q: Find the derivative of the function at På in the direction of u. x-y g(x,y) = xy+2¹ Po(1,-1),…

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Q: In Exercises 5-24, compute the derivative.

A: cos xsin x=cot x, 1sin x=csc xDerivative formulasddxcot x=-csc2(x), ddxcsc x=-cot x csc x

Q: EXERCISES 2:Find the derivative of the function at Poin the direction of A. 2. g(x, y) = y2 +…

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Q: Find the derivative of the function at Po in the direction of A. f(x.y.z) = xy + yz + zx, (2, –…

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Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the…

A: f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in…

Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: #5

A: Given: -

Q: 1. Find the gradient of the function f(x, y) = x² sin y.

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Q: A) find the directional derivative of f at P f(x, y) = : x +y X- y. P(-1, –2); 0 = 1/2 х — у B) Find…

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Q: Find the directional derivative of f(x, y) = /xy at the point P = (2,8) in the direction of the…

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Q: se Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Compute the directional derivative of f(x,y) at the point P in the direction of the point Q. f(x,y)…

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Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

Q: Find the derivative of the function at Po in the direction of A. f(x.y.z) = xy + yz + zx, (1.-1,-…

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