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grin007 [14]
3 years ago
6

Find the limit. limx→−6 √4x+45

Mathematics
1 answer:
Simora [160]3 years ago
8 0
If
lim \: x -> - 6 \: \: (\sqrt{4x + 45} ) \\
= \sqrt{21}

Just replace x for (-6)
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Hope This helps you..!!!!

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3 years ago
Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ
irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).

Then after solving, it become and with theorem it says that the

\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

brainly.com/question/15409558

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3 0
2 years ago
Rent me $250 washing cars with his mobile car wash company he charges $70 per car and earn $50 in tips write an equation to repr
Zarrin [17]

Answer:

Try 250 = 70x + 50, or y = 70x + 50.

Step-by-step explanation:

He made 250 total. The variable is how many cars he washes. The y-intercept is 50. Therefore, either 250 = 70x + 50, or y = 70x + 50.

3 0
3 years ago
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Step-by-step explanation:

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2 years ago
Help? y - intercepts <br> What is the y-intercept of the equation 2x + 3y = 12?
Nookie1986 [14]

Answer:

2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.

2x + 3y = 12

subtract 2x from both sides.

3y = -2x + 12

Divide both sides by 3.

y= - 2/3 x + 12/3 =

y= - 2/3x + 4

The slope is - 2/3

5 0
3 years ago
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