Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables are restricted to a domain on which the function is defined. fxx = fyy fxy - fyx = = f(x, y) = €5xy e D

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A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

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Q: If f(x)=√√x²-1 and g(x) = x+1, which expression is equal to f(g(x))? + 2x (x+1)²-1 +x-1

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A: The answer is given below Explanation:

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Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

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Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

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A: Cobb Douglass formula isP(L,K) = bLαK1-αIn 1920, α=0.20 and b= 1.01.

Q: 5) Find the general solution of the non-homogenous differential equation: dy = dx x + y +4 4x+4y+8

A: Explanation is given below:(ask in comment for any doubt!! )Explanation:

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Q: 1. Find the derivative of the following functions: x-4 (a) y In 2x+5 (b) y=ln(cscx-cotx)

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Q: Let -3x3 + 3y³ - 4z³ – 3xyz - - Use partial derivatives to calculate the point (-6, 1, −2). 647 = 0.…

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Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

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Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

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A: .

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Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: Compute the following integral problems [10.x³-12.x³-5dx

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Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…