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olga_2 [115]
3 years ago
9

(b) Let X(s) and Y(s) denote the Laplace transforms of x(t) and y(t), respectively. Find H(s) = Y(s)/X(s). Assume zero initial c

onditions. (H(s) is called the transfer function of the circuit) (5 points)
Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

H(s)=(∫_(t=o)^∞▒〖x(t)e^(-st) dt〗)/(∫_(t=o)^∞▒〖y(t) e^(-st) dt〗)

Step-by-step explanation:

L{f(t)}=F(s)=∫_(t=0)^∞▒〖f(t)e^(-st) dt〗

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The simple interest on a sum of money for 2 years at 12% per annum is rupees 1380
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Answer:

5750

710.7

Step-by-step explanation:

Simple interest = principal. * rate * time

Principal (p) = sum of money

1380 = p * 0.12 * 2

1380 = 0.24p

p = 1380 / 0.24

p = 5750 rupees.

The compound interest :

A = P(1 + r/n)^nt

A = final amount

n = number of compounding times per period

t = period

A = 5750(1 + 0.12/2)^2*1

A = 5750(1 + 0.06)^2

A = 5750(1.06)^2

A = 5750 * 1.1236

A = 6460.7

Hence, compound interest is :

Final amount - principal

6460.7 - 5750

= 710.7 rupees

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