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labwork [276]
3 years ago
6

For the differential equation s′′+bs′+6s=0, find all the values of b that make the general solution overdamped, those that make

it underdamped, and those that make it critically damped. (For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range 2

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

<em><u>note:</u></em>

<em><u>solution is attached</u></em>

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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long
QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

A=P(1+\frac{r}{n})^{nt}

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

3 0
3 years ago
Please help me!! How do you solve 4x+8=2x+7+2x-20. Thank you
leonid [27]
4x + 8 = 2x + 7 + 2x - 20

4x + 8 = 4x - 13

8 = -13

no solution. 

hope that helps, God bless!
8 0
3 years ago
Which shows all the like terms in the expression? 4x-3+7x+1
myrzilka [38]

Answer:

Step-by-step explanation:

4x-3+7x+1

4x, 7x are like terms because the both have an x  

-3,1 are like terms because they are both constants

4x+7x-3+1

11x -2

6 0
3 years ago
Simplify 12√18-6√20-3√50-8√45
Alex_Xolod [135]

12√18-6√20-3√50-8√45

<em>*Break each radical up into the product of a radical of a perfect square and a second radical*</em>

12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)

<em>*Simplify the radicals*</em>

12(3√2)-6(2√5)-3(5√2)-8(3√5)

<em>*Distribute*</em>

36√2-12√5-15√2-24√5

<em>*Combine like terms</em>*

21√2-36√5

Hope this helps!!

3 0
3 years ago
A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 secon
Vesnalui [34]
The answer would be the snake drives in for miles
6 0
3 years ago
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