Answer:
x = 
Step-by-step explanation:
Given equation is,
By solving this equation,
[tangent of any angle is negative in IInd and IVth quadrants]
x = 
, 
x =
Therefore, value of x in the interval of [0, 2π] are .
Answer:
P(B)=0.30
Step-by-step explanation:
Out of 1000 Voters, 30% favor Jones.
Event S=Favors Jones on First Trial
Event B=S occurs on Second Trial
P(S)=0.30
P(S')=1-0.30=0.70
Event B could occur in two ways
- The first two trials are a success
- The first trial is a failure and the second trial is a success.
Therefore,
P(B)=P(SS)+P(S'S)
=(0.3X0.3)+(0.7X0.3)
=0.09+0.21
=0.3
Therefore, the probability of event B(that event S occurs on the second trial), P(B)=0.30.
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Your answer would be -624 because 1-210-3= -212 then 3 times -212 +12= -624
