Answer: f(2) = 4
Step-by-step explanation:
F(x) and g(x) are said to be continuous functions
Lim x=2 [3f(x) + f(x)g(x)] = 36
g(x) = 2
Limit x=2
[3f(2) + f(2)g(2)] = 36
[3f(2) + f(2) . 6] = 36
[3f(2) + 6f(2)] = 36
9f(2) = 36
Divide both sides by 9
f(2) = 36/9
f(2) = 4
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = , m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) =
cos(B) =
cos(30°) =
c = 16
Further we apply tangent rule,
tan(B) =
tan(30°) =
b = 8
(9√25) /√50 = 9*5/√50 now simplify the denominator. √50=√25*√2=5√2
so (9*5)/(5√2) simplifies to 9/√2. To rationalize the denominator multiply both the numerator and the denominator by √2.
9√2/(√2*√2) = 9√2/2
First place is a
Fifth place is b