Find the minimum value of the function y = x(1+x)
...Find the minimum value of the function y = x(1+x)
-1/4
-1/2
1/4
1/2
Correct answer is A
y = x(1+x)
= x + x2
dy/dx = 1 + 2x
As dy/dy → 0
1 + 2x = 0
2x = -1
X = -1/2
Y = x(1+x)
= -1/2(1 - 1/2) at x = -1/2
= -1/2(1/2)
= -1/4
Evaluate \((111_{two})^2 - (101_{two})^2\)...
Find (101\(_2\))\(^2\), expressing the answer in base 2....
Halima is n years old. Her brother's age is 5 years more than half of her age. How old is her br...
\(\begin{array}{c|c} x & 1 & 4 & p \\ \hline y & 0.5 & 1 & 2.5\end{array}\)....
Marks 2 3 4 5 6 7 8 9 No. of students 3 4 1 0 4 5 2 1 The table above shows the distribut...