b. d²y dx² + 4y = 2cos2x + 3sin2x

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A: Given,   {(x,y,z) ∈ R3:(x,y,z)-(1,1,1)=0}={(x,y,z) ∈ R³:x+y+z=0}=L(1,-1,0),(1,0,-1)} and we need to…

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Q: Question 5 Evaluate: a. 40 O b. 30 O c. 20 O d. 10 SS (3x²+9y²) dxdy 0 0

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Q: Consider the vector field F = F(t) = t²i+t³3 0 Evaluate 1² F. dr along the curve C:

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (et, est, 5), g(t) = 4t — 7 dt r(g(t)) = (4e ^ ( 4t -…

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Q: 3.Describe the largest set S on which it is correct to say that f is continuo a. f(x,y) =· x² + xy-5…

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Q: 77 Consider the vector field F= Evaluate r(t) = 1²7+t³3, 0≤t≤2 Calculator SF Check Answer F. dr…

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Q: The gradient of f(x, y) = e²´ª sin(2 · y) at (x, y) = ( − 2, − 1) is defined as followed: V f(x, y)…

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Q: 28) About the y-axis 3- 2- 1+ x = 3 y=2+x²/9

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Q: 6 Find the local Minimum and Maximom Values and Saddle 1 + (x₁92 = 22²¹ +p² +8x-6p 120 points

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Q: Given 3 fºF f(x) dx = 4 and [FO f(x) dx = -1, evaluate the following.

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Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

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A: (4).We have to find the value of integral:  ∫ sec4(x) tan3(x) dx

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Q: Find all the second-order partial derivatives of the function f(x,y) = 6x² + 4y + 7x²y².

A: