Find Duf at P. f(x, y, z) = 6x²y³zª; P(1, −2, 1); u = Duf: = Save for Later + 2. k Attempts: 0 of 1 used Submit Am

Q: Solve by completing the square: (y-3)-(y-4)(y+3) O A. 1-10,1+Vi0 O B. 1-i10,1+i10 O C. 1-2i2,1+ 2i2…

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Q: ĉu ôu = 0 using the transformations v = .x + y,z = 2.x – y Solve: B.

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Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: 5-solve for the unknown d (P,„P.) = /2ī d (P,P,) = 5 1. P,(x,2,3) P,(2,1,1) 2. P,(x ,x,1) P,(0,3,5)

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: [5x-6y > 42 3. 3x +2y <14

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Q: When you plug in (0,0,0) into 7x - 5y + z = 0. It holds true, however, when you plug in (1,1,1) into…

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Q: Use the char. Method to solve: 1 u = (p² +q²) + (p- x)(q-y), where u(x, 0) = 0 %3D

A: Given PDE is u=12p2+q2+p-xq-y,  where ux,0=0. We can write it as f=12p2+q2+p-xq-y-u, then using…

Q: B. Solve: If f(x)= x2 + 2, if x 0, find: 1. f(-4) 2. f(3).

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Q: In each part, determine whether the equation is linear in x₁, x2, and x3. (b) x₁ + 3x₂ + x₁ x3 = 2…

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Q: dy 2. Solve for and simplify the result dr a y = (3r – 2)5(2r² + 5)© 5z – 1 2r + 3 c. y= I/A- rT 3…

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Q: 7. Solve: dy x + 3y d.x 3x + Y

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Q: Find a such that the distance from (−1, 2) to ax − y + 9 = 0 is √5 units.

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Q: B. ty" – (t+ 1)y +y = t?

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Q: findthe solutionof the differenta eqration- dy 2X+y-) X 4X+2Y+5

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Q: Given: a = 2 – 3t + y = 31 - 2 Required: , 3/", y" (Select the correct answer for each y, y", y"…

A: Given the function

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: 2: Clasafy ad Solve The fllowing diffrential equatóns dy -2x e + + 4. Sinx フス2 フィ* + (6 y = 6x°1ox…

A: The general solution of an ordinary non homogeneous differential equation is the sum of…

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

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Q: 1 4. (1+2)y/ + 2ry = (1+2)y

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Q: y = V5z – 8 a. 2/5z-8 b. 2V5z -8 c. Does Not Exist d. 5

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Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

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Q: Q/ Solve the DEs: 1-a+ykdx+(1+x*)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 4x 4) y = Vx² +2x-15

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Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

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Q: Hiw: Find Eiqunhlues and Eig envac tors ofa 2x2 metrir If A-

A: Given A=01−2−3 The eigenvalues of A are the roots of the characteristic equation detA−λI=0…