Q.5 [5] Find a, b such that f(x) is continuous on its domain and plot it. f(x)=\left\{\begin{array}{cl} a \log _{10}(10+x) & \text { if }-1<x<0 \\ 6 & \text { if } x=0 \\ b \sin x+6 \cos x & \text { if } 0<x<\pi / 2 \\ x & \text { if } x \geq \pi / 2 \end{array}\right.

Fig: 1

Fig: 2

Fig: 3