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g100num [7]
3 years ago
13

Use a computer algebra system to draw a direction field for the differential equation y' = 3y^3 − 12y. Get a printout and sketch

on it solutions that satisfy the initial condition y(0) = c for various values of c.
A)For what values of c does the limit L = lim t → [infinity] y(t) exist?

a.c is in [−2, 2]
b.c is in [2, [infinity])
c.c is in [−2, 0]
d.c is in [0, 2]
e.c is in (−[infinity], −2]

B) What are the possible values for this limit L? (Enter your answers as a comma-separated list.) L =
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer: simplest reason is that Infinity is not a number, it is an idea.

So 1∞ is a bit like saying 1beauty or 1tall.

Maybe we could say that 1∞= 0, ... but that is a problem too, because if we divide 1 into infinite pieces and they end up 0 each, what happened to the 1?

In fact 1∞ is known to be undefined.

But We Can Approach It!

So instead of trying to work it out for infinity (because we can't get a sensible answer), let's try larger and larger values of x:

graph 1/x

x 1x

1 1.00000

2 0.50000

4 0.25000

10 0.10000

100 0.01000

1,000 0.00100

10,000 0.00010

Now we can see that as x gets larger, 1x tends towards 0

We are now faced with an interesting situation:

Step-by-step explanation:

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102 cubic cm and prisms I'm confused and slow helpppopp meeee thxxxx buddies
bekas [8.4K]
Look at attached image for numbers
1=96cm^2
2=96cm^2
3=240cm^2
4=120cm^2
5=120cm^2

Answers; 4 and 5 both have a volume of 120cm^2

4 0
3 years ago
What is the area of a triangle of base 10m and height of 8m​
Marat540 [252]

Answer:

40m

Step-by-step explanation:

to find the area of a triangle you must do bh/2

So you do 10 times 8 which is 80.

Then you do 80 divided by 2 which is 40.

I hope this helps!

6 0
3 years ago
Read 2 more answers
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: \bar x = 24.57

Ha: \bar x \neq 24.57

(Two tailed test at 5% significance level)

b) n=30

Mean difference = 23.89-24.57 = - 0.68

Std error of mean = \frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0
3 years ago
The line whose slope is 4 and intersects the line 2x - 4y = 8 at x = 6 has the equation:
SCORPION-xisa [38]

2x - 4y = 8   →   -4y = -2x + 8   →   y = \frac{1}{2} x - 2

We know the slope (m) = 4, need to find y-intercept (b)

y = 4x + b

\frac{1}{2} x - 2 = 4x + b

\frac{1}{2} (6) - 2 = 4(6) + b

3 - 2  = 24 + b

1 = 24 + b

-23 = b

Equation: y = 4x - 23

Answer: C

8 0
3 years ago
PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!
3241004551 [841]

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P(1 + \frac{r}{100})^{t}

=> A = 100 x ( 1 + \frac{0.4}{100})^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

7 0
3 years ago
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