Discuss two other ways in which you encounter percentages in a typical week of your life

1 answer:

8 0

1) In school, you will encounter percentages on class assignments to see how much progress you made in an subject. 2) On a cell phone, you encounter percentages by how much your cell phone is charged in order to know if you need to charge the battery or not.

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Use chain rule to find dw/dt w=ln(x^2 + y^2 + z^2)^(1/2) , x=sint, y=cost, z=tant

son4ous [18]

The chain rule states that

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

Since $\ln(x^2+y^2+z^2)^{1/2}=\dfrac12\ln(x^2+y^2+z^2)$ , you have

$\dfrac{\partial w}{\partial x}=\dfrac x{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial x}=\dfrac y{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac z{x^2+y^2+z^2}$

and

$\dfrac{\mathrm dx}{\mathrm dt}=\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=\sec^2t$

Also, since $x^2+y^2+z^2=\sin^2t+\cos^2t+\tan^2t=1+\tan^2t=\sec^2t$ , the derivative is

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\sin t\cos t}{\sec^2t}-\dfrac{\sin t\cos t}{\sec^2t}+\dfrac{\tan t\sec^2t}{\sec^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\tan t$

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3 years ago

Two submarines are underwater. The number - 4,820 represents Submarine A’s position (in feet) relative to the surface. The numbe

GarryVolchara [31]

Answer:

Step-by-step explanation:

Take an easier number. Suppose you owe your mother = 10 dollars and your father 15. Which one is the bigger debt? Isn't it your father.? So how do you represent the two debts.

Father = - 15

Mother = - 10

Which number is bigger? - 10. Remember the question is bigger. You would rather own just 10 dollars.

So which number is "larger"?

Isn't it -4488. If it was money and you owed it, would it be the debt you would rather have than -4820

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3 years ago

The school is planing a file trip they have 81 busses .each bus has 62 seats how many students can go

Tresset [83]

Answer:

5,022 Students

Step-by-step explanation: