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Leya [2.2K]
3 years ago
8

Evaluate the following Lim (xcotx) x->00

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

1

Step-by-step explanation:

Evaluate the following

Lim (xcotx)

x->0

Note that cotx = cosx/sinx

The expression becomes

Lim (xcotx) = Lim (xcosx/sinx)

x->0               x->0

= 0cos0/sin0

= 0/0 )(ind)

Apply l'hospital rule

= Lim d/dx(xcosx/sinx)

x->0          

= lim (-xsinx + cosx)/cosx

    x->0

= -0sin0+cos0/cos0

= 0+1/1

= 1/1

= 1

Hence the limit of xcotx as x tends to zero is 1      

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olchik [2.2K]

Answer:

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Step-by-step explanation:

7 0
3 years ago
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2. Which algebraic expression represents the following phrase?
oksian1 [2.3K]

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

  • Square a number ⇒ x²
  • Square the sum of two numbers ⇒ (x + y)²
  • Sum of the squares of two numbers ⇒ x² + y²
  • Square of difference of two numbers (x - y)²
  • The difference of square two numbers x² - y²

∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

   then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

   and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

#LearnwithBrainly

3 0
3 years ago
Which of the following correctly factors the expression −20x+4y−2?
Wewaii [24]

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

8 0
3 years ago
What is the solution set of the quadratic inequality 4(x+2)^2<_0?
sattari [20]

The solution is in the picture

8 0
3 years ago
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How many terms are in the expression shown below? 5u 3 v + 3u 2 v 2 + 4uv + 5
Marianna [84]

Answer:

There are four terms of the expression 5u^3v+3u^2v^2+4uv+5.

Step-by-step explanation:

The given expression is 5u^3v+3u^2v^2+4uv+5.

The first term of this expression is 5u^3v.

The second term of this expression is 3u^2v^2.

The third term of the expression is 4uv.

The fourth term of the expression is 5.

Therefore, there are four terms in the given expression.

7 0
3 years ago
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