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3 years ago

Defferentiate y=Insin(3x)

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Use the chain rule:

$y=\ln(\sin(3x))$

$y'=(\ln(\sin(3x)))'$

$y'=\dfrac{(\sin(3x))'}{\sin(3x)}$

$y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}$

$y'=\dfrac{3\cos(3x)}{\sin(3x)}$

$y'=3\cot(3x)$

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A square has an area of 144 inches squared. What is the length, to the nearest inch, of the diagonal

erastova [34]

Answer:

each side is 36

Step-by-step explanation:

144÷4=36

7 0

3 years ago

Solve the quadratic function by completing the square. what are the missing pieces in the steps? –32 = 2(x2 10x) –32 = 2(x2 10x

NemiM [27]

An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,

$-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8$

Thus, the solution of the quadratic equation is -2 or -8.

Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.

Learn more about Equation:

brainly.com/question/2263981

6 0

1 year ago

SHOW WORK PLEASE THANKS

Eva8 [605]

Answer:

-6 miles, 328 yards

Step-by-step explanation:

Take 2-8 for miles to get -6

Take 528-200 for yards to get 328

4 0

3 years ago

Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl. Fannin Lanes charges 2.50 pe

Archy [21]

Answer:

4 games

Step-by-step explanation:

Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.

Let x number of games played

y represents total cost to bowl

Fannin Lanes charges 2.50 per games plus 2 for shoe rental

y = 2.50x + 2

Fun Time Lanes charges 2 per game plus 4 for shoe rental.

y = 2x + 4

If total cost to bowl be same at both center

2.50x + 2 = 2x + 4

2.5x - 2x = 4-2

0.5x = 2

x = 4

Hence, 4 games will the cost to bowl be the same at both center.

3 0

3 years ago

The difference of two numbers is 3. Their quotient is 2. What are the two numbers?

Sergeeva-Olga [200]

Answer:

The two numbers are 3 and 6.

Step-by-step explanation:

Let one number be a and the other be b.

We're given:

$a-b=3$
$\dfrac{a}{b}=2$

Isolate a in the second equation and solve for b:

$\dfrac{a}{b}=2\\\\a=2b$

$a-b=3\\2b-b=3\\b=3$

Therefore, the second number is 3.

$a-3=3\\a=6$

Therefore, the first number is 6.

7 0

2 years ago