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DanielleElmas [232]
2 years ago
10

At what point on the curve x = 6t2 + 6, y = t3 − 2 does the tangent line have slope 1 /2 ?

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

Answer:

Hello,

P=(30,6)

Step-by-step explanation:

x=6t^2+6\\y=t^3-2\\\\\dfrac{dx}{dt}= 12t\\\dfrac{dy}{dt}= 3t^2\\\\\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } =\dfrac{3t^2}{12t} =\dfrac{t}{4} \\\\\dfrac{t}{4} =\dfrac{1}{2} \Longrightarrow t=2\\\\\\x=6t^2+6=6*2^2+6=30\\\\y=t^3-2=2^2-2=8-2=6\\\\\\Tangence\ point=(30,6)\\

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Will mark brainliest
VMariaS [17]

Answer:

Interquartile range => 7

Third quartile => 22

Range => 13

First quartile => 15

Step-by-step explanation:

Order your data set, from the least amount to the highest amount:

$12, $14, $15, $15, $15, $15, $16, $22, $24, $25

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

Q1 = the middle value of the lower part of the data set, from the median to your left.

Q3 = the middle value of the upper part of the data set, from the median to your right.

The median lies between the 5th and 6th value that is enclosed in the parenthesis below:

$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25

The median divides the data set into upper and lower part.

Median = \frac{15 + 15}{2} = 15

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Third quartile: Q3 = $22

IQR = $22 - $15 = $7

Range = highest amount - least amount = 25 - 12 = $13

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Alex787 [66]

Answer:

Smaller number: 12

Larger number: 34

Step-by-step explanation:

Let x represent the smaller number.

Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)

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Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.

I hope this helped you. If it did, please consider, rating, pressing thanks and/or giving my answer 'Brainliest.' Have a great day! :)

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Step-by-step explanation:

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