2 years ago

Make d the subject of the formula h=d/3+2

Mathematics

1 answer:

Pani-rosa [81]2 years ago

8 0

Answer: D=3(h-2)

Explanation —>

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The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is-3

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A. y= 2x - 3 and y= -2x - 3

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3 years ago

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Lemur [1.5K]

Answer:

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Explanation:

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3 years ago

Germany, Italy, and Japan formed the Tripartite Pact in part because they:

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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

A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?

telo118 [61]

Answer:

0.0024

Step-by-step explanation:

1 killogram=1000000

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3 years ago