With respect to the following shaded feasible region (ABCDEFA), the maximum value of the objective function z =3x + 4y - 2 is at point(s):

If matrix\(A_p=\left[\begin{array}{ll}p & (p+1) \\ p & (p-1)\end{array}\right], p \in \mathbb{N}\) (where \(\mathbb{N}\) is the set of natural numbers), then the value of \(\left|A_1\right|+\left|A_2\right|+\left|A_3\right|+\cdots+\left|A_{2025}\right|\) is:

The equation of the tangent line to the curve \(y=x^2-2 x+5\) which is Oparallel to the line 4x - y + 1 = 0 is:

If \(A=\left[\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right], B=\left[\begin{array}{ll}0 & 0 \\ 3 & 0\end{array}\right]\) then

If \(x=-4\) is a root of \(\left|\begin{array}{lll}x & 2 & 3 \\ 1 & x & 1 \\ 3 & 2 & x\end{array}\right|=0\) , then the sum of the other two roots is

\(\int \frac{d x}{x^3 \sqrt{\left(1+x^4\right)}}=\)

Let \(A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]\), then \(\left(A^{-1}\right)^T\) equals

The value of the integral \(I=\int_0^1 \frac{1}{\sqrt{x^2+2 x+3}} d x\) is :

Which of the following is not the specification of the Sinking Fund?

The Photoelectric current from a photosensitive metal, above the threshold frequency, depends on the :

Antipyretic drugs prevent platelet coagulation, apart from reducing fever. Because of this action, antipyretic aspirin is also used:

When a piece of metal is illuminated by monochromatic light of wavelength λ, the stopping potential for photoelectric current is 2.5 V0. When the same surface is illuminated by light of wavelength 1.5 λ, the stopping potential becomes V0. The value of threshold wavelength for photoelectric emission is:

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically _______________ which is a white, odourless, bitter crystalline compound.