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/ #### 9x² - 10x + 2
#### 9x² - 10x + 2
February 22, 2026
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Use the power rule for derivatives: d/dx [x^n] = n*x^(n-1)
f'(x) = 3*3x² - 5*2x + 2*1 - 0
f'(x) = 9x² - 10x + 2
The probability of event A occurring is 0.3, and event B is independent with a probability of 0.5. What is the probability of both events A and B occurring?
For independent events, P(A and B) = P(A) × P(B)
P(A and B) = 0.3 × 0.5 = 0.15
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