piecewise function

Which of the following function(s) is an accurate description of the graph for the range(s) indicated? (i) y = 2x + 4 for -3 ≤ x ≤ -1 (ii) y = |x-1| for -1 ≤ x ≤ 2 (iii) y = ||x|-1...

What should be the value of $$\lambda $$ such that the function defined below is continuous at $$x = {\pi \over 2}$$? $$f\left( x \right) = \left\{ {\matrix{ {{{\lambda \,\cos x} \...

The Laplace transform of the following function is $$$f\left( t \right) = \left\{ {\matrix{ {\sin t} & {for\,\,0 \le t \le \pi } \cr 0 & {for\,\,t > \pi } \cr } } \right.$$$

The Laplace transform of the function $$\eqalign{ & f\left( t \right) = k,\,0 < t < c \cr & \,\,\,\,\,\,\,\,\, = 0,\,c < t < \infty ,\,\, \cr} $$ is