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Recent questions tagged concepts

A, B and C are mutually independent $\rightarrow$ P (A $\cap$ B $\cap$ C) = P (A) P (B) P (C). True or False?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

Evaluate P ((E $\cup$ F)|G)?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

If A and B are mutually exclusive, then P(A$\cup$B) = P(A) + P(B). True or False?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

Evaluate P (A $\cup$ B $\cup$ C)?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

For any two events A and B, P(A $\cap$ B) + P (A $\cup$ B) = P(A) - P(B). True or Fale?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

True or False. If 0$\leq$ P (E|F) $\leq$ 1, P (E′|F) = 1 – P (E|F).

asked Apr 18, 2013 by balaji.thirumalai

1 answer

The conditional probability of an event E, given the occurrence of the event F is given by P(E | F) = what?

asked Apr 18, 2013 by balaji.thirumalai

1 answer

True or False. If two corner points of the feasible region are both optimal solutions of the same type, i.e., both produce the same maximum or minimum, then any point on the line segment joining these two points is also an optimal solution of the same type.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. Say $R$ is unbounded, and a maximum or a minimum value of the objective function exists. If so, where can it exist?

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. Say the objective function Z has both a maximum and a minimum value on R and each of these occurs at a corner point (vertex) of R. For this to be true, R must be unbounded. True or False.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. When $Z$ has an optimal value (maximum or minimum), where the variables $x$ and $y$ are subject to constraints described by linear inequalities, this optimal value must occur where in the feasible region?

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Fill in the blank. Any point in the feasible region that gives the value (maximum or minimum) of the objective function is called solution.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

True or False. The common region determined by all the constraints including non-negative constraints $\; x, y \geq 0$ of a linear programming problem is called the infeasible region.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

True or False? $\log_a x = \large \frac{1}{\log_x a}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

According to the properties of lograthmic functions, what is the value of: $\log_a x^y$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

According to the properties of lograthmic functions, what is the value of: $\log_a \large \frac{x}{y}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

According to the properties of lograthmic functions, what is the value of: $\log_a xy$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $ \large \frac{d(cosec^{-1}x)}{dx}$, given $|x| >1$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of $\; \large \frac{d(sec^{-1}x)}{dx}$, given $|x|>1$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $ \large \frac{d(cot^{-1}x)}{dx}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $ \large \frac{d(tan^{-1}x)}{dx} $

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $ \large \frac{d(cos^{-1}x)}{dx}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $\; \large \frac{d(sin^{-1}x)}{dx}$.

asked Apr 4, 2013 by balaji.thirumalai

1 answer

If $y=f(g(x))$, then express $\large\frac{dy}{dx}$ in terms of $f(x)$ and $g(x)$.

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\large \frac{dy}{dx}$ if $y=f(t)$ and $x=g(t)$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of $\; \large \frac{d(u^v)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of: $\; \large \frac{d(uv)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of: $ \large \frac {d (\frac{u}{v})}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\large \frac {d (\log_a x)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function:$\; \log_ex$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(a^x)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(e^x)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cotx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function:$\; \large \frac{d(secx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function:$\; \large \frac{d(cosecx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function:$\; \large \frac{d(tanx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cosx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(sinx)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cx^n)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\large \frac{d(x^n)}{dx}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of: $\;$ $\lim_{x\to \infty} \large \frac{sinx}{x} $?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim\limits_{x\to 0} (1+\frac{1}{x})^{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} log(1+x)^{\frac{1}{x}}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{log(1+x)}{x} $?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{a^x-1}{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{e^x-1}{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\lim_{x\to 0} \large \frac{sin^{-1}x}{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\lim_{x\to 0} \large \frac{tan^{-1}x}{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;\lim_{x\to 0} \large \frac{tanx}{x}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of:$ \;\lim_{x\to a} \large \frac{x^n-a^n}{x-a}$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

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