I need help with number 3 please usingg Python! I've already finished 1 and 2. Please don't do toseIp

Use Python to solve each problem. 1. A spring has a natural length of 25 cm. Let k be the spring constant. a) Calculate the work done in stretching the spring from a length of 25cm to b) Calculate the work done in stretching the spring from a length of 35cm to c) Calculate the work done in stretching the spring from a displacement of a length of 35cm a length of 45cm 0.1N meters to a displacement of 0.1(N +1) meters, where N is a positive integer 2. A spherical tank full of water has a radius of 3m and a lm spout at the top (see figure below). Note that the density of water is -1000 kg/m3 and the acceleration due to gravity is g 9.8 m/s2 a) Use integration to find the amount of work required to pump all the water out of the tank. (HINT: to set up the integral, put the origin of your coordinate system at the center of the sphere.) b) Multiply the weight of the water in the tank by the distance from the center to the top of the spout. What do you notice? 3. Given f(z) = sin r cos 1 a) Plot the function on the r-interva Find the volume when the region enclosed by the curve and the r-axis is rotated about the y-axis b) Find the volume when the above region is rotated about the line y-1 c) Compute /f(x) dx twice, using two different integrations by parts (define u, de, du, v for each and evaluate du). Plot both answers. Ex plain why you get different graphs even though you integrated the same function. Use Python to solve each problem. 1. A spring has a natural length of 25 cm. Let k be the spring constant. a) Calculate the work done in stretching the spring from a length of 25cm to b) Calculate the work done in stretching the spring from a length of 35cm to c) Calculate the work done in stretching the spring from a displacement of a length of 35cm a length of 45cm 0.1N meters to a displacement of 0.1(N +1) meters, where N is a positive integer 2. A spherical tank full of water has a radius of 3m and a lm spout at the top (see figure below). Note that the density of water is -1000 kg/m3 and the acceleration due to gravity is g 9.8 m/s2 a) Use integration to find the amount of work required to pump all the water out of the tank. (HINT: to set up the integral, put the origin of your coordinate system at the center of the sphere.) b) Multiply the weight of the water in the tank by the distance from the center to the top of the spout. What do you notice? 3. Given f(z) = sin r cos 1 a) Plot the function on the r-interva Find the volume when the region enclosed by the curve and the r-axis is rotated about the y-axis b) Find the volume when the above region is rotated about the line y-1 c) Compute /f(x) dx twice, using two different integrations by parts (define u, de, du, v for each and evaluate du). Plot both answers. Ex plain why you get different graphs even though you integrated the same function