Hi Chegg Masters, please help me answer the following in step by step process and please add explanations as well so that I can understand. thank you so much

I. You only consume two goods and your preferences are represented by utility function U(x1,x2)=(x10.5+x20.5)2 for x1>2 and x2>0. 1. Find your marginal utility for each good. Simplify your answers. Based on your answers, are your preferences strictly monotonic? Why or why not? 2. Do your preferences obey the law of diminishing marginal utility for each good? Why or why not? If not, what is the behavior of your marginal utility for each good? Use calculus and words to answer this question. 3. Find and sign the derivative that determines the shape of your utility function. Simplify your answer. What is the shape of your utility function and what does it imply about your preferences? 4. Find your marginal rate of substitution between good 1 and good 2 . Simplify your answer. 5. Are your preferences homothetic? Why or why not? 6. Show that your utility function is a CES utility function. 7. Another consumer, Bing Bing, also consumes the same two goods and has a utility function given by V(x1,x2)=2ln(x10.5+x20.5). a. How does Bin Bing's marginal rate of substitution between goods 1 and 2 compare with yours? b. Using the relevant conditions related to consumer preferences, show that Bing Bing and you have identical preferences