Derive the expression Pmax=ε2/4R, using the Equations 4 and 5 provided. Equation 4 is Power, P= emf^2(R/(R+r)^2 and Equation 5 is R=r

Please do it on priority Thank you

Please solve with work. Will upvote!

I need the expert's solution without comments in a single program, and I need a concise program. It would be better if it was an image from a MATLAB program. Q3. Respond to both parts of the question: A. Create a MATLAB script to solve the equation z³ +19.032z - 100 using Newton's method. Follow this equation: Zk+1 = Zk m(zk) m' (zk) Provide an initial guess for z and stop the program when the absolute value of m(z) is less than 9×105 or after 15 steps. Q2. Compose a MATLAB script to generate a normally distributed random number within the range of 0 to 100, and allocate. to a (4x4) matrix denoted as Z. Subsequently, execute the following operations based on user input ranging from 1 to 6: 1. (ZT-Z¹)/|Z| 2. Replace the second row by third column. 3. Remove the last two columns.. 4. Express the floating-point form.at of matrix Z with six significant digits and its exponent. 5. Round the elements of matrix Z to the nearest integers. 6. Construct a vector R comprising the…