Find the minimum and maximum values of the function f(x, Y, z) = 3x + 2y + 4z subject to the constraint x² + 2y? + 6z2 = 81. fmax fmin

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A: Given graph:- To find:- Use the graph of y=f(x) to the right to solve the inequality f(x) ≥3

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A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...

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Q: SOLVE THE FOLLOWING 14. = In (x² + 1) 15. = In (Inu)

A: As per bartleby guidelines we only give first question answers. 

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A: Topic = Derivative

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Q: 1/4 1. Find all the values of 3

A: The given number is: i-3314 Now, i-33=-13+i3 Let, -13+i3=rcos θ+i rsin θ⇒rcos θ=-13 &  rsin θ=13...

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A: As you have asked for the solution of question number 8 only. So I am solving that only. Thank you. ...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = x², y = 2x

A: Given; y=x2, y=2x   The expression for the centroid is: x¯=1A∬xdydx ;  y¯=1A∬ydydx Where; Area=A=∬dy...

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A: I am attaching image so that you understand each and every step.

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Q: Q9 i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that...

A: If  limn→∞ an  exists and is finite we say that thesequence is convergent. If  limn→∞ an  doesn’t ex...

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A: use the volume of solid of revolution formula,

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Q: A garden shop determines the demand function q = D(p) : 4p+1000 during early summer for %3D 40p+26 c...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

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Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

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Q: 9. Let a be a positive value. State the integral test, and use this to determine whether > -an e n=0...

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

A: cos(2θ)+sin2θ=0cos2θ-sin2θ+sin2θ=0cos2θ=0cos2θ=cos2(π2)We know that cos2θ=cos2(α)  ⇒θ=nπ±αThereforec...

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Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx...

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Q: Using Newton's divided difference formula, find the missing value from the table: 14 15

A: Solution of question is written in below steps.

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Q: Find the derivative of the following including trigonometric identitier functions. Show complete sol...

A: h = sin-x here we apply chain rule dh/dx = (1/2sin-x)*(1/1-x2) dh/dx = 1/2sin-x*1-x2   y = k2sin-(x/...

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Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

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