Please answer part e based on the code given below. Thank you!!

from sympy import * from sympy.plotting import (plot,plot_parametric) import math

#4a x = symbols('x') h=x**2+3*x+5 k=abs(diff(h,x,2))/(1+(diff(h,x)**2)**Rational(3,2)) print("The curvature at x=2 is",k.subs(x,2))

#4b h_1=tan(x) k_1=abs(diff(h,x,2)/(1+diff(h,x)**2)**Rational(3,2)) print("The curvature at x=pi/3 is",k_1.subs(x,pi/3))

#4c h_2=7*x-1 k_2=abs(diff(h,x,2)/(1+diff(h,x)**2)**Rational(3,2)) print("The curvature at x=5 is",k_2.subs(x,5))

#4d h_3=sqrt(25-x**2) k_3=abs(diff(h,x,2)/(1+diff(h,x)**2)**Rational(3,2)) print("The curvature at x=1 is",k_3.subs(x,1))

The curvature of a function h(x) at a point is the reciprocal of the radius of the circle that best approximates the shape of the function at that point. It is given by the following formula: =(1+[h(x)]2)3/2h(x) Find the curvature, in exact and approximate form, of the following functions at the given points. (Remember that you can use Rational (3,2) to get the exact value of 23. Just dividing 3 by 2 gives a floating point.) (a) h(x)=x2+3x+5 at x=2 (b) h(x)=tan(x) at x=3 (c) h(x)=7x1 at x=5 (d) h(x)=25x2 at x=1 (e) In a print statement, give a geometric relationship between the answers to (c) and (d) and characteristics of those curves