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blsea [12.9K]
3 years ago
11

HELP ME WITH THIS> WILL MARK BRAINLIEST

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

I think x = 8

Step-by-step explanation:

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Lim x -> infinity ((e^(3x)) - (e^(-3x)))/( (e^(3x)) + (e^(-3x)))
steposvetlana [31]
When x<span> approaches to </span><span>+∞</span><span> the function </span><span>e^<span>3x</span></span><span> becomes much bigger then </span><span>e^<span>−3x</span></span><span>, which obviously means that </span><span>e^<span>−3x</span></span><span> can be neglected in both numerator and denominator.
</span><span>
Here's how I figured this out: 

</span><span>lim <span>x →+∞ </span></span>= (<span><span><span>e^(<span>3x))</span></span>− (<span>e^(<span>−3x)) / (</span></span></span><span><span>e^<span>3x)) </span></span>+ (<span>e^(<span>−3x)) </span></span></span></span>= <span>lim <span>x → +∞ </span></span><span><span>e^<span>3x / </span></span><span>e^<span>3x </span></span></span>= 1
7 0
4 years ago
Michele is 52 inches tall her father is 6 feet 3 inches tall exactly how many inches taller is Michele,s father than Michele
Stella [2.4K]
52 inches = 4 foot 3 so Michele's father is 2 feet taller than Michele
4 0
3 years ago
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini
Svetach [21]
For this case we have the following difference equation:
 dy / dx = 3xy&#10;
 Applying separable variables we have:
 dy / y = 3xdx&#10;
 Integrating both sides we have:
 \int\ ({1/y}) \, dy =  \int\ {3x} \, dx
 ln (y) = (3/2) x ^ 2 + C&#10;
 applying exponential to both sides:
 exp (ln (y)) = exp ((3/2) x ^ 2 + C)&#10;&#10; y = C * exp ((3/2) x ^ 2)
 For y (1) = 1 we have:
 C = 1 / (exp ((3/2) * 1 ^ 2))&#10;&#10;C = 0.2
 Thus, the particular solution is:
 y = 0.2 * exp ((3/2) x ^ 2)&#10;
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 Answer:
 y = 0.2 * exp ((3/2) x ^ 2)
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6 0
3 years ago
Substract the polynomials and simplify (-3r2-2r-4)-(9r2+7r+2)
mina [271]

Answer:

-12r2-9r-6

Step-by-step explanation:

-distribute the subtraction symbol  to the second group of numbers

-(9r2+7r+2) = (-9r2-7r-2)

-then combine each term together (-3r2-2r-4)+(-9r2-7r-2)

= -12r2-9r-6

HOPE THIS HELPS!!

6 0
4 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: AB || CD . If the coordinates of point
grandymaker [24]

Answer:

1. 11.2

2. -1.4

3. 12

Step-by-step explanation:

The equation of the line that passes through the points A(8,0) and B(3,7) is

\dfrac{x-8}{3-8}=\dfrac{y-0}{7-0},\\ \\y=-\dfrac{7}{5}(x-8).

To find the y-intercept, plug into this equation x=0:

y=-\dfrac{7}{5}(0-8)=\dfrac{56}{5}=11.2.

Two parallel lines have the same slope, so the equation of the line CD is

y=-\dfrac{7}{5}x+b.

This line passes through the point D(5,5), thus

5=-\dfrac{7}{5}\cdot 5+b\Rightarrow b=5+7=12.

Hence, the equation of CD is

y=-\dfrac{7}{5}x+12.

6 0
4 years ago
Read 2 more answers
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