A barn has 11 heads and 36 legs. How many are chicks and how many are pigs
2 answers:
c = amount of chickens
p = amount of pigs
now, let's recall that chicken have two legs, and pigs have four legs, whatever "c" is, the amount of legs for all chicken is 2*c, or 2c.
the amount of legs for pigs is 4*p or 4p.
we know there are 36 legs total, therefore 2c + 4p = 36.
we also know that there are 11 heads, since each only has one head, then c + p = 11.
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Answer:
x=1
y=s
z=1
Step-by-step explanation:
(x, y, z)=(1, 0, 1)
Substitute 0 for y
Confirming if t=0 satisfy the other equation
x = e^−2t cos 4t = e^−2(0)cos(4*0)
= e^(0)cos(0) = 1
z = e^−2t = e^−2(0) = 0
Therefore t=0 satisfies the other equation
Finding the tangent vector at t=0
The vector equation of the tangent line is
(1, 0, 1) +s(0,1,0)= (1, s, 1)
The parametric equations are:
x=1
y=s
z=1