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3 years ago

6

A vector with initial point (2,1) and terminal point (6,-6) is translated so that its initial point is at the origin. find its n

ew terminal point.

1 answer:

ANTONII [103]3 years ago

7 0

The new terminal point would be 8,-7

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frez [133]

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3 years ago

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

3 years ago

I will give branliest to the first person to answer!

lara31 [8.8K]

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

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2 years ago

Find the number whose arithmetic square root is 0.6

slavikrds [6]

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

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3 years ago

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

Debora [2.8K]

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3 years ago