Just differentiate <em>G</em> and <em>H</em> :
• d<em>G</em>/d<em>x</em> = d(<em>x</em> ² <em>eˣ </em>)/d<em>x</em> = 2<em>x</em> <em>eˣ</em> + <em>x</em> ² <em>eˣ</em>
so <em>G</em> is not an antiderivative of <em>f</em>.
• d<em>H</em>/d<em>x</em> = d(2<em>x</em> <em>eˣ</em> - 2<em>eˣ</em> ) = (2<em>eˣ</em> + 2<em>x</em> <em>eˣ</em> ) - 2<em>eˣ</em> = 2<em>x</em> <em>eˣ</em> = <em>f(x)</em>
so <em>H</em> is indeed an antiderivative of <em>f</em>.
Answer:
The probability that a friend who receives 2 greeting cards will receive at least one musical greeting card is 0.3
Step-by-step explanation:
The probability of getting a musical card = P(A) = 30 % or 0.3
Therefore probability of not receiving a plain card = P(A)' = P(B) = 100-30 or 1- 0.3 = 0.7
The probability of receiving at least one musical card when two cards are given is
P(A)×P(A) +P(A)×P(B)-P(B)×P(B) =0.3×0.3+0.3×0.7 = 0.3
The probability of receiving at least one musical card = 0.3
Answer:
4x^3+2x^2=2
We move all terms to the left:
4x^3+2x^2-(2)=0
Step-by-step explanation: