If `Q=4v^(3)+3v^(2)`, then the value of `'v'` such that,there exist maxima of `'Q'`-
A
`0`
B
`-(1)/(2)`
C
`(1)/(2)`
D
none
Text Solution
Verified by Experts
The correct Answer is:
B
`Q=4V^(3)+3V^(2)` `(dQ)/(dv)=12V^(2)+6V` `(dQ)/(dv)=0rArrV=0,-(1)/(2)` `(d^(2)Q)/(dV^(2))=24v+6rArr((d^(2)Q)/(dv^(2)))_(v=0)=6(+ve)` `((d^(2)Q)/(dv^(2)))_(v=-1//2)=-12+6=-6(-ve)` `V=-1//2` for maximum `Q`
Consider the following statements. p : if 7 is an odd number , then 7 is divisible by 2. Q : If 87 is a prime number , then 7 is an odd number . if V_(1) is the truth value of contrapositive of p and V _(2) is the truth value of conirapositive of Q, then the ordered pair ( V_(1) , V_(2)) equals.
If the rms value of the voltage of the waveform shown below is sqrt((p)/(q))V , then what is the value of (p + q) ? (p and q are the smallest positive integers.)
RESONANCE-DAILY PRACTICE PROBLEMS-dpp 92 illustration
