It takes 45 minutes or 45/60 of an hour to cook a chicken. How many fourths of an hour is that? A.1 B.2 C.3 D.4
2 answers:
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Answer:
L(f(t)) =
Step-by-step explanation:
let f be a function defined for t ≥ 0
we can write the function f(t) in terms of unit function as follows
f(t) = 2 u,(t) - 1 where
0≤ t < 1
f(t) = (2 * 0) -1 = -1
when t ≥ 1
f(t) = (2*1 )- 1 = 1
Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1) --------equation 1
this is because L(u,(t)) =
c = 1 hence L(1) = 1/s
back to equation 1
L(f(t)) = 2 - 1/s laplace transform
also L(u(t) ) =
Answer:
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Answer:
For (a) ±< cos ( π /6) , sin( π /6 ) > = ± < 1 /2 , √ 3 /2 > For (b)= < √ 3 /2 ,- 1 /2 > For (c) see attachment.
Step-by-step explanation:
y'atx=π/6 is 2cos(π/6)=√3.
This direction θ=ψ is given by tanψ=√3.
Inversely, ψ=tan−1√3 is π/6. For the opposite direction ,
it is π+π/6.
The unit vector in the direction θ=π/6 is
<cos(π/6),sin(π/6)>.
For the opposite direction, it is
<cos(π+π/6),sin(π+π/6)>
=<−cos(π/6),−sin(π/6)> .
For Part (b)
That is, the slope of the tangent line is √3. So
(1,√3)
gives the direction of the line and
(√3,−1)
gives the direction of the perpendicular line.
(Note that (b,−a)⊥(a,b) for any vector.)
For Part C
See the link
