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3 years ago

PLEASE HELP!

Mathematics

1 answer:

Eddi Din [679]3 years ago

4 0

Answer:

sorry we can't read such type of this exercise

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How to do question 1?Had no idea how to do both parts

givi [52]

$y=\dfrac{\ln x}{3x-6}$

Differentiate both sides with respect to $x$ :

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}$

When $x=1$ , you have

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13$

For part (b), we now assume that $x$ and $y$ are functions of an independent variable, which we'll call $t$ (for time). Now differentiating both sides with respect to $t$ , we have

$\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}$

where the chain rule is used on the right side. We're told that $y$ is decreasing at a constant rate of 0.1 units/second, which translates to $\dfrac{\mathrm dy}{\mathrm dt}=-0.1$ . So when $x=1$ , you have

$-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}$
$-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}$
$\dfrac{\mathrm dx}{\mathrm dt}=0.3$

where the unit is again units/second.

6 0

3 years ago

how many pieces of string that are 2/7 of an inch long can be cut from a piece of string that are 7/8 of an inch long

Nimfa-mama [501]

namely, how many times does 2/7 go into 7/8?

$\bf \cfrac{7}{8}\div\cfrac{2}{7}\implies \cfrac{7}{8}\cdot \cfrac{7}{2}\implies \cfrac{49}{16}\implies 3\frac{1}{16}\impliedby \textit{3 whole times}$

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4 years ago

The graph shows the cost of buying beets at a farm stand

antiseptic1488 [7]

Answer:

Ok what's your question? cna you include the graph?

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3 years ago

you decided to keep flipping a coin until tails came up. what is the probability of tails coming up on the 5th flip of the coin?

zzz [600]

1 in 2. Each flip is independent of each other, so whether it is the 1st flip or 5th or 100th, the probability of getting tails on any one flip is 50%

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4 years ago

Please help me , i just need to past this !

OLga [1]

Answer:

Step-by-step explanation:

i would say c

3 0

3 years ago

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