List of top Mathematics Questions asked in AP ECET Metallurgical Eng, AP ECET ECE

If $3A+4B^{T}=\begin{bmatrix}7&-10& 17\\ 0& 6& 31\end{bmatrix}$ and $2B-3A^{T}=\begin{bmatrix}-1& 18\\ 4&-6\\-5&-7\end{bmatrix}$ then $B=$

A particle is moving in a straight line such that its distance at any time \(t\) is given by \[ s=\frac{t^4}{4}-2t^3+4t^2+7, \] then its acceleration is minimum at \[ t=\_ \]

$\frac{dy}{dx} = xy + x + y + 1$ has the solution}

Which of the following is an integrating factor for the differential equation $x \cos x \frac{dy}{dx} + (x \sin x + \cos x) y = 1$?

The general solution of $\frac{ydx - xdy}{y^2} = 0$ represents a family of}

The equation of the curve passing through the origin and satisfying the differential equation $\frac{dy}{dx} = (x-y)^2;$

If the solution $y(x)$ of the given differential equation $(e^y+1) \cos x dx + e^y \sin x dy = 0$ passes through the point $(\pi/2, 0)$ then the value of $y(\pi/6)$ is

$\int_{a}^{b} (|x-a| + |x-b|) dx = , (0 < a < b)$

$\int_{0}^{2} \frac{dx}{\sqrt{2+x} + \sqrt{2-x}} =$

If the order and degree of a differential equation $(\frac{d^4y}{dt^4} + \frac{d^2y}{dt^2})^{5/2} = 10 \frac{d^3y}{dt^3}$ are $p$ and $q$, respectively, then $p+q =$

The differential equation of the family of concentric circles with Centre at the origin is

If $k \int_{0}^{1} x f(3x) dx = \int_{0}^{3} t f(t) dt$ then $k =$

$\int \frac{1+\cos 4x}{\cot x - \tan x} dx =$

If $I_{n} = \int \frac{t^{n}}{1+t^{2}} dt$ then $I_{6} + I_{4} =$

$\int (x+1)^{2} e^{x} dx =$

If $\int \frac{1}{(x+100)\sqrt{x+99}} dx = f(x) + c$ then $f(x) =$

If $\int \frac{2x^{2}+a^{2}}{x^{2}(x^{2}+a^{2})} dx = \frac{k}{x} + \frac{1}{a} \tan^{-1} \frac{x}{a} + c$ then $k =$

The interval in which $f(x) = 2x^{2} - \log x$ increases is

The function $y = xe^{x}$ has}

If there is an error of 3% in the volume of a sphere then the percentage error in its radius is

The value of p such that the line joining (0,3), (5, -2) is a tangent to the curve $y = \frac{p}{x+1}$ is

The set of all points of differentiability of the function $f(x)=e^{-|x|}$ is

Which of the following functions have finite number of points of discontinuity?

If $(x/a)^n + (y/b)^n = 2$, then $dy/dx$ at $(a,b)$ is