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ipn [44]
3 years ago
6

Which is heaviest a bicycle a pencil a dog an elephant

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0
Elephant is the heaviest
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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

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

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

6 0
2 years ago
Plz help !!! timed quiz
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Answer:

6 1/12

Step-by-step explanation:

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If doughnuts are usually 75 cents each, but there is a sale on Friday advertising them as 1 ½ dozen for $10.80, what is the new
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This deal is cheap! Well, the answer is 60 cents. To get these problems, divide 10.80 by 18, which is equal to 1.5 a dozen.
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