All categories

2 years ago

Differentiate \[\ln \sin^2 x\]

1 answer:

7 0

Y = ln {[sin(x)]^2}

use the chain rule

y' = 1 /[sin(x)]^2 * 2sin(x)*cos(x) = 2cos(x) / sin(x) = 2 cot(x)

Answer: 2 cot(x)

You might be interested in

Write the sum as a product of the GCF of 96 + 18?

worty [1.4K]

96: 1,2,3,4,6,8,12,16,24,32,48,96

18: 1,2,3,6,9,18

GCF: 6

But, if you're asking what 96 + 18 it's 114

7 0

2 years ago

A boat travels 115 km in 3 hours. How far can it travel in 9 hours?

rodikova [14]

Answer:

345 km

Step-by-step explanation:

9 divided by 3 = 3

115 x 3 = 345

8 0

2 years ago

Please help <br><br><br> marking brainlist

slamgirl [31]

B. If they are congruent

7 0

2 years ago

Which expression is equivalent to the following complex fraction? X/x-3/x^2/x^2-9

rewona [7]

Answer:

C) $\frac{x+3}{x}$

Step-by-step explanation:

The given expression is

$\frac{\frac{x}{x-3} }{\frac{x^2}{x^2-9} }$

We rewrite to obtain:

$\frac{x}{x-3} \div \frac{x^2}{x^2-9}$

Multiply the first fraction by the reciprocal of the second to get;

$\frac{x}{x-3} \times \frac{x^2-9}{x^2}$

Factor the numerator using difference two squares;

$\frac{x}{x-3} \times \frac{x^2-3^2}{x^2}$

$\frac{x}{x-3} \times \frac{(x-3)(x+3)}{x^2}$

Cancel out the common factors to get;

$\frac{1}{1} \times \frac{(1)(x+3)}{x}$

This simplifies to;

$\frac{x+3}{x}$

3 0

2 years ago

Read 2 more answers

Find the Surface Area:

yaroslaw [1]

Answer:

151 m^2

Step-by-step explanation:

Given,

Height ( h ) = 10 m

Radius ( r ) = 2 m

To find : Surface Area

Here, the shape is cylinder.

Formula : -

Surface area of cylinder = 2πr ( r + h )

Note : -

The value of π is 3.14

Surface area of cylinder

= 2πr ( r + h )

= 2 x 3.14 x 2 ( 2 + 10 )

= 12.56 ( 12 )

= 12.56 x 12

= 150.72

= 151 m^2 ( approximately )

5 0

1 year ago