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Feliz [49]
4 years ago
12

Evaluate the expression 4x for xequals2

Mathematics
1 answer:
4vir4ik [10]4 years ago
7 0

Answer:ghgjfhgythgbvh

Step-by-step explanation:

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Consider F and C below. F(x, y) = 6xy2 i + 6x2y j C: r(t) = t + sin 1 2 πt , t + cos 1 2 πt , 0 ≤ t ≤ 1 (a) Find a function f su
Natalija [7]

a. If \vec F is a gradient field of a scalar function f, then

\dfrac{\partial f}{\partial x}=6xy^2

\dfrac{\partial f}{\partial y}=6x^2y

From these equations we can find

f(x,y)=3x^2y^2+g(y)

\dfrac{\partial f}{\partial y}=6x^2y=6x^2y+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C

\implies\boxed{f(x,y)=3x^2y^2+C}

b. By the gradient theorem (i.e. fundamental theorem of calculus for line integrals),

\displaystyle\int_C\nabla f\cdot\mathrm dr=f(\vec r(1))-f(\vec r(0))=\boxed{12}

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Step-by-step explanation:

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Show me how to solve .384-.3798
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0.0042

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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