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lutik1710 [3]
2 years ago
13

Find the given Value w(t) = 12t - 1;t = 1/3

Mathematics
1 answer:
Zepler [3.9K]2 years ago
5 0

Answer:

w(t) = 12t - 1 \\ when \: t \:  =  \frac{1}{3}  \\ w( \frac{1}{3} ) = 12( \frac{1}{3} ) - 1 \\ w( \frac{1}{3} ) = 3

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The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1
kifflom [539]
(5x2) - (5-1)
  10    -   4
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8 0
3 years ago
11t - 6t = 45 solve the equation and enter the value of t below ​
Arada [10]

Answer:

t = 9

Step-by-step explanation:

11t - 6t = 45

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8 0
3 years ago
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Pavlova-9 [17]

Answer:

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Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

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K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

Recall that K = 2T

K = 2 * 3

= 6

Hence Katie is 6 years old while Thomas is 3 years old

6 0
2 years ago
Heres another 56 points for free. Good Luck :)
murzikaleks [220]

Answer:

Thank you

Step-by-step explanation:

7 0
3 years ago
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