Using Spyder and Python

Use the built-in function roots to find the location of the minimum value of the polynomial g(x)=2x4+x3x+7 Print the results on screen and identify the minimum point from this result. Finally, plot the polynomial in the range [0,1] and mark the minimum point with a red star. Hints: 1. The extremum points of f(x) are located at the solutions of equation f(x)=0 2. Only the real root is to be considered. Given h(x)=x35x+10 and g(x)=4sin(3x)+6 Plot these two functions such that all intersection points are shown. Using built-in function brentq solve for the intersection points and plot them on the graph with red stars. Include a legend in your figure to specify the functions. Hints: 1. At an intersection point of two functions the values of the functions are equal. Hence the equation to be solved is h(x)=g(x)h(x)g(x)=0 2. There are three intersection points. Use the range [3,2] Import appropriate libraries