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AnnyKZ [126]
3 years ago
15

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

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3 years ago
Read 2 more answers
Combine like terms. x^2y-3xy^2-6x^2y
balu736 [363]

The result after combining like terms is: -5x^2y-3xy^2

Step-by-step explanation:

Given expression is:

x^2y-3xy^2-6x^2y

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

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The result after combining like terms is: -5x^2y-3xy^2

Keywords: Expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/846474
  • brainly.com/question/833559

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3 years ago
A line is drawn so that it passes through the point (3,4) and (2,1). what is the slope of the line
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m_a_m_a [10]
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3 years ago
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When solving this equation, you get the answer as -43.5.

To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:

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3 years ago
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