Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Jos
2 answers:
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As we know that the standard equation of circle is , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>
Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively
After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>
Now , putting values in our standard equation ;
<em>This is the required equation of </em><em>Circle</em>
Refer to the attachment as well !
Answer
(a)
(b)
Step-by-step explanation:
(a) δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=>
where d(t) = δ(t)
=>
Integrating, we have:
=>
Inputting the boundary conditions t = a = ∞, t = 0:
(b)
The Laplace transform of function f(t) is given as:
Integrating, we have:
Inputting the boundary condition, t = a = ∞, t = 0: