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Elza [17]
3 years ago
5

What is the value of the sin3x/6x; as x approaches to zero

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

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Elliot has a total of 26 books. he has 12 more fiction books than nonfiction books. let x represent the number of fiction books
KIM [24]

Answer:

X+Y=26

X-Y=12

Step-by-step explanation:

fiction books= X

non fiction books= Y

then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

X+Y = 26

X-Y=12

6 0
2 years ago
The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
1 1/3 minus 5/6 please help me out
kifflom [539]

Answer:

17/6

So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right

8 0
3 years ago
Which value is NOT a solution of x^3 + 64 = 0
Karo-lina-s [1.5K]
Hi can we see the choicest
8 0
3 years ago
17. If the following fractions were converted to decimals, which one would result in a repeating decimal?
ryzh [129]

Answer:

A.5/11

Semoga membantu

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2 years ago
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