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3 years ago

Cora allows 1m2

Mathematics

1 answer:

TiliK225 [7]3 years ago

7 0

Answer— 60m ?????????

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Help me with this problem please

Vikki [24]

The answer would be d a negative times a negative is a positive times a negative makes it a negative

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3 years ago

Multiply.

Lena [83]

(4.214) x (3.06) = 12.89484 and can be rounded up to 12.9

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3 years ago

Help me out please I’m stuck

zysi [14]

Your answer is Y=-4 5
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3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

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3 years ago

3r2 + 11r + 8 Factor completely

crimeas [40]

Answer:

(3r+8)(4+1)

Step-by-step explanation:

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3 years ago