For this problem consider raising an integerato the powern(another positive integer). Letanexpress the output to this problem.1. (2 point) Express this problem formally with input and output conditions.2.(2 points) Describe a simple brute force algorithm to compute this product. How manymultiplications does it take asymptotically in the worst case?3.(2 point) Assume for the moment thatn>1 and is even. Express the value ofanas aproduct of two subproblems.4.(2 point) Now assumen>1 and is odd. Express the value ofanas a product of twosubproblems (and possibly other terms).5. (5 points) State a self-reduction for your problem.6. (5 points) State a recursive algorithm that solves the problem.

Courses that are developed by subject matter experts, internal or extemal to the college or university. these programs are marketed by the school (clo2) marks a)-vocational schools b)-vendor training c)-colleges & universities d)-continuing education programs

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?

Heat transfer by is the fastest mode of heat transfer that requires no intervening medium. a)-conduction b)-convection c)-radiation d)-conduction and convection