simplify: exp(a)^-1 * exp (b)^2/exp(5c)

calculate: d/dx exp(xsin(x))

calculate: (integral)xexp(x^2-3)dx

find the exponential function f(x)=a^x whose graph goes through point 5, 1/32. a=???

find the exponential funtion f(x)=Ca^x whose graph goes through points (0,2) and (4,32). a=??? C=???