Differentiating both sides of

with respect to
yields

At the point (3, 4) (so
and
), the tangent line has slope

Then the tangent line to (3, 4) has equation

Answer:
Your answer is x^4 + 2 x^2 +2
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First you go on the computer and you know how there's always a FBI agent watching you? You tell the FBI agent that your stuck in a hole and you need help. Then the FBI agent will send their team to come and get you but it won't be so easy because why? The little old lady you ran over decided to get revenge and set up a trap. so now it's the FBI vs The little old lady
the FBI starts to shoot at the Old Lady but she moves so fast she like lighting then she goes to attack the FBI agent but then the FBI agent reveals himself as the her grandson! Apparently he was able to get away and survive her attack since this caught the old lady off guard the grandson smashes cookies into her face and help you out of the hole
your welcome
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.