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skelet666 [1.2K]
2 years ago
5

Please help thank you

Mathematics
1 answer:
Contact [7]2 years ago
4 0

Answer:

TRUE

Step-by-step explanation:

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Consider f and c below. f(x, y) = (7 + 8xy2)i + 8x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
KonstantinChe [14]

\dfrac{\partial f}{\partial x}=7+8xy^2

\dfrac{\partial f}{\partial y}=8x^2y

The first equation gives

f(x,y)=7x+4x^2y^2+g(y)

Differentiating with respect to y gives

8x^2=8x^2y+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=K

for some constant K. So

f(x,y)=7x+4x^2y^2+K

and by the fundamental theorem of calculus,

\displaystyle\int_C\nabla f\cdot\mathrm d\vec r=f\left(3,\frac13\right)-f(1,1)=25-11=\boxed{14}

4 0
3 years ago
True or false<br> The solution set of 2x+5=x-3is {-8}
irinina [24]

Answer:

True

Step-by-step explanation:

2x+5=x-3 is (-8)

This is the correct answer

3 0
4 years ago
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For each sequence find the first 4 terms and the 10th term n Squared + 3
notka56 [123]

Answer:

4, 7, 12, 19 and 103

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 10 into the n th term formula, that is

1² + 3 = 1 + 3 = 4

2² + 3 = 4 + 3 = 7

3² + 3 = 9 + 3 = 12

4² + 3 = 16 + 3 = 19

Thus the first 4 terms are 4, 7, 12, 19

10² + 3 = 100 + 3 = 103

Thus the 10 th term is 103

8 0
4 years ago
Please help it's timed
KiRa [710]
Try this order:
2,1,5,6,4,3
that means to put the first tile in the second place of sequence.
8 0
4 years ago
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M+(-3)= -5<br> please help me find the answer
krok68 [10]

Answer:

m = -2

Step-by-step explanation:

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7 0
3 years ago
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