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3 years ago

11

Complete the following statement.

1 answer:

Svetradugi [14.3K]3 years ago

3 0

Answer:

if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

Step-by-step explanation:

We need to find the remainder if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$

Dividing $p ( x ) = x^2 + 7 x + 3$ by $x + 4$

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

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2 years ago

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3 years ago

For each of the following vector fields

olga nikolaevna [1]

(A)

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$\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y$

$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y$

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(B)

$\dfrac{\partial f}{\partial x}=-8y$

$\implies f(x,y)=-8xy+g(y)$

$\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x$

$\implies \dfrac{\mathrm dg}{\mathrm dy}=x$

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(C)

$\dfrac{\partial f}{\partial x}=-8\sin y$

$\implies f(x,y)=-8x\sin y+g(x,y)$

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3 years ago