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4vir4ik [10]
4 years ago
10

Verify the identity

inx%7D%20" id="TexFormula1" title=" \frac{1-sinx}{cosx} = \frac{cosx}{1+sinx} " alt=" \frac{1-sinx}{cosx} = \frac{cosx}{1+sinx} " align="absmiddle" class="latex-formula">

Mathematics
2 answers:
juin [17]4 years ago
7 0
Hence verified!. Hope it's understandable and nvm that background lol.

IgorLugansk [536]4 years ago
4 0
The picture he put seems right and i just did it and got the same answer
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The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the v
Svetllana [295]

Answer:

The differential equation becomes -

\frac{dV}{dt} = k\sqrt[3]{V} i.e. \frac{dV}{dt} = kV^{\frac{1}{3} }

Step-by-step explanation:

Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

To find - Write a differential equation that describes the relationship.

Proof -

Rate of change of volume V with respect to time t is represented by \frac{dV}{dt}

Now,

Given that,

The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

⇒\frac{dV}{dt} ∝ \sqrt[3]{V}

Now,

We know that, when we have to remove the Proportionality sign , we just put a constant sign.

Let k be any constant.

So,

The differential equation becomes -

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3 years ago
The transitive property of equality states that:
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You can observe that if two numbers are equal to the same number, then all this numbers are equal to each other.

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Alexeev081 [22]

Answer:

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Step-by-step explanation:

Given

18e^2f^3-12e^2f

Required

Factorize:

18e^2f^3-12e^2f

Express 18 as 6 * 3 and 12 as 6 * 2

18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f

Factor out 6

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Factor out f

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