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3 years ago

Differentiating ln inside a bracket

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

$y=(\ln(3x+2))^3\\\frac{dy}{dx}=3\ln^2(3x+2)\cdot\frac{3}{3x+2}=9\frac{\ln^2(3x+2)}{3x+2}\\\mbox{for}\,\,3x+2>0$

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What is the vertex of the graph of y = 2(x - 3)2 + 4?

Dvinal [7]

Answer:

(3, 4)

Step-by-step explanation:

vertex is (h, k)

this equation is written in the form of

y = a(x -h) +k

which is why the vertex is (3, 4)

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3 years ago

What is the sum of -64/5 and 64/5 ?

77julia77 [94]

Answer and Explanation

<em>This is because they are both the same opposite number, and you are adding.</em>

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<em>So, the answer is 0.</em>

<em>Hope this helps =)</em>

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3 years ago

A belt runs a pulley of radius 8 inches at 60 revolutions per minute. a) Find the angular speed in radians per minute. b) Find t

Evgesh-ka [11]

Answer:

Part a) $120\pi\ \frac{rad}{min}$

Part b) $960\pi\ \frac{in}{min}$

Step-by-step explanation:

we have

60 rev/min

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we know that

One revolution represent 2π radians (complete circle)

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To convert rev to rad, multiply by 2π

$60\ \frac{rev}{min}=60(2\pi)=120\pi\ \frac{rad}{min}$

Part b) Find the linear speed in inches per minute

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=8\ in$ ----> given problem

substitute

$C=2\pi(8)$

$C=16\pi\ in$

Remember that

One revolution subtends a length equal to the circumference of the circle

$1\ rev=16\pi\ in$

To convert rev to in, multiply by 16π

$60\ \frac{rev}{min}=60(16\pi)=960\pi\ \frac{in}{min}$

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3 years ago

When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than th

jolli1 [7]

Answer:

60 days.

Step-by-step explanation:

Let the actual time be x, then:

x - 0.25x = 45

0.75x = 45

x = 45/0.75

= 60 days.

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2 years ago

Which property is demonstrated below?

Rom4ik [11]

The answer is distributive property .

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3 years ago