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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 approaches to +∞ the function e^3x becomes much bigger then e^−3x, which obviously means that e^−3x can be neglected in both numerator and denominator.

Here's how I figured this out:

lim x →+∞ = (e^(3x))− (e^(−3x)) / (e^3x)) + (e^(−3x)) = lim x → +∞ e^3x / e^3x = 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
$
Applying separable variables we have:
$dy / y = 3xdx
$
Integrating both sides we have:
$\int\ ({1/y}) \, dy = \int\ {3x} \, dx$
$ln (y) = (3/2) x ^ 2 + C
$
applying exponential to both sides:
$exp (ln (y)) = exp ((3/2) x ^ 2 + C)

 y = C * exp ((3/2) x ^ 2)$
For y (1) = 1 we have:
$C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2$
Thus, the particular solution is:
$y = 0.2 * exp ((3/2) x ^ 2)
$
Whose domain is all real.
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers

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!!