Please help explain which curve fits best For an exponential

Please help explain which curve fits best

For an exponentially decaying wave below, choose the best-fit curve. 1.5*exp(-0.25t)sin(3.14t + 1.57) 0.5 + 1, 5*exp(-0.25t)sin(3.14t + 1.57) 0.5 + exp(-0.25t)sin(3.14t + 1.57) 0.5 + exp(-0.5t)sin(3.14t + 1.57) 1.5 + exp(-0.5t)sin(0.5t + 1.57) 0.5 + exp(-0.25t)sin(2t + 1.57) 0.5 + exp(-0.25t)sin(2t + 1.57)

Solution

Of the given curvees first curve A has x interceps as 0.501, 1.501, 2.502,....

Since the given curve has only two intercepts A is not answer.

B curve also has x intercepts as 0.628, 1.346, 2.731.... more than 2. Hence B cannot be.

C curve has same y intercept and same shape and x intercepts.

So C is the answer