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2 years ago

How to do a? and possibly b...

Mathematics

1 answer:

natali 33 [55]2 years ago

4 0

Answer:

u'=2(2t³-21t)³(6t-21)

Step-by-step explanation:

For a. they want you take the derivative of that function but in terms of t, which means you have to plug in that x=... part at some point.

You can either plug it in first and then take a derivative or take the derivative first then plug it in. But remember if you take a derivative first then u'=2x³(x') due to the chain rule; so you'd need to plug in the derivative of x anyways. It's really just a matter of preference at that point.

Doing it either way gives us:

u'=2(2t³-21t)³(6t-21)

For b. you just need to plug in 2 and simplify to get your answer there.

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We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

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Therefore, the value of $\cos \theta$ is $\dfrac{5}{\sqrt{34}}$ .

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2 years ago

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Arte-miy333 [17]

Answer:

The number of whole dumpling does Omar make is 14 .

Step-by-step explanation:

Given as :

The number of cups does Omar has to make dumplings = x = 2 $\dfrac{5}{8}$

i.e x = $\dfrac{16 + 5}{8}$

or, x = $\dfrac{21}{8}$

Again

The number of cups uses for each dumpling = y = $\dfrac{3}{16}$

i.e y = $\dfrac{3}{16}$

Let The number of whole dumpling does Omar make = z

So, number of whole dumpling does Omar make = $\dfrac{\textrm number of cups does Omar has to make dumplings}{number of cups uses for each dumpling }$

Or, z = $\dfrac{x}{y}$

Or, z = $\frac{\frac{21}{8}}{\frac{3}{16}}$

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2 years ago