Answer:
I'm pretty sure that it's C.
1)
LHS = cot(a/2) - tan(a/2)
= (1 - tan^2(a/2))/tan(a/2)
= (2-sec^2(a/2))/tan(a/2)
= 2cot(a/2) - cosec(a/2)sec(a/2)
= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))
= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)
= 2[(1+cos(a) -1)/sin(a)]
=2cot a
= RHS
2.
LHS = cot(b/2) + tan(b/2)
= [1 + tan^2(b/2)]/tan(b/2)
= sec^2(b/2)/tan(b/2)
= 1/sin(b/2)cos(b/2)
using product to sums
= 2/sin(b)
= 2cosec(b)
= RHS
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Below is the solution:
<span>E(X) = 50*1 - 3*8000/10000
E(X) = 50 - 24 = $26 per year</span>
for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have
. So

for some constant
. Given that
, we find that

so that on [-3, 0] we have

and

Answer:
Fluffy's tail is 1/12 of a meter longer than Fireball's tail.
Step-by-step explanation:
1 1/3 - 1 1/4 = x
get common denominator (12)
1 4/12 - 1 3/12 = 1/12