Answer:
A and B are correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = 3x² -5x - 1
f'(x) =2*3x - 5*1 +0
= 6x - 5
f'(4) = 6*4 - 5
= 24 - 5
= 19
The ODE is linear:


Multiplying both sides by
gives

Notice that the left side can be condensed as the derivative of a product:

Integrating both sides with respect to
yields


Since
,

so that

Answer:
-3/5
Step-by-step explanation:
First, make the mixed fraction into an improper fraction:
-1 2/5 = -(5/5 + 2/5) = -(7/5)
Note that two negatives = one positive:
- (-4/5) = + 4/5
Combine the terms. Subtract the numerators:
-(7/5) + (4/5) = (-7 + 4)/5 = -3/5
-3/5 is your answer.
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Use the identity P(A ∪ B) = P(A)+P(B)-P(A ∩ B)
P(A)=0.50
P(B)=0.60
P(A ∪ B) = 0.30
=>
P(A ∪ B) = P(A)+P(B)-P(A ∩ B)
=(0.50+0.60)-0.30
=0.80