Find the area of the region in the first quadrant enclosed by x-axis,line x=√3y and the circle x2+y2=4
Determine order and degree(if defined)of differential equation y''+2y'+sin y= 0
Determine order and degree (if defined) of differential equation y''+(y')2+2y=0
Determine order and degree (if defined) of differential equation y'+ y=ex
Determine order and degree (if defined) of differential equation y'''+2y''+y'=0
Determine order and degree (if defined) of differential equation (y''')2+(y'')3 +(y')4 +y5 =0
Determine order and degree (if defined) of differential equation \(\frac{d^2y}{dx^2}=\cos 3x+\sin3x\)
Determine order and degree (if defined) of differential equation\(\Big(\frac{d^2y}{dx^2}\Big)\\^2+\cos\Big(\frac{dy}{dx}\Big)=0\)
Determine order and degree(if defined) of differential equation\((\frac{ds}{dt})^4+3s\frac{d^2s}{dt^2}=0\)
Determine order and degree(if defined) of differential equation y'+5y-0
Verify A(adj A)=(adj A)A=\(\mid A \mid I\).
\(\begin{bmatrix}1&-1&2\\3&0&-2\\1&0&3\end{bmatrix}\)
By using properties of determinants, show that:
\(\begin{vmatrix}a^2+1&ab&ac\\ab&b^2+1&bc\\ca&cb&c^2+1\end{vmatrix}\)=1+a2+b2+c2
Show that the function defined by f(x)=cos(x2) is a continuous function.
Find the values of a and b such that the function defined by\(f(x)=\left\{\begin{matrix} 5, &if\,x\leq2 \\ ax+b,&if\,2<x<10 \\ 21,&if\,x\geq10 \end{matrix}\right.\)
is a continuous function.
Find the values of k so that the function f is continuous at the indicated point.\(f(x)=\left\{\begin{matrix} kx+1, &if\, x\leq\pi \\ cos\,x,&if\,x>\pi \end{matrix}\right.\,at\,x=\pi\)
Find the values of k so that the function f is continuous at the indicated point. \(f(x)=\left\{\begin{matrix} kx^2, &if\,x\leq2 \\ 3,&if\,x>2 \end{matrix}\right. \,at\,x=2\)
Find the values of k so that the function f is continuous at the indicated point. \(f(x)=\left\{\begin{matrix} \frac{k\,cos\,x}{\pi-2x}, &if\,x\neq\frac{\pi}{2} \\ 3,&if\,x=\frac{\pi}{2} \end{matrix}\right.at\, x=\frac{\pi}{2}\)