Given the following equation (8 pts) Show your work in the upload submission. Input the final answer in the given space below. (1 pt) Use implicit differentiation to find y’.

What is the primary motivation for using the kernel trick in machine learning?

In Kernel PCA, what replaces the sample covariance matrix used in standard PCA, and what does this enable?

In reinforcement learning, the exploration-exploitation tradeoff refers to:

What are required behaviors, actions, or responsibilities that are attached to a specific role?

Is there any evidence or sources that your audience will find particularly credible or trustworthy? Is there any evidence or sources that your audience will doubt or dislike? Make a list of evidence and sources that you may want to use and that you may want to avoid.

How will you appeal to each of those values as you write? Or, if you’re going to challenge one or more of those values, how will you do so respectfully and still appeal to your audience?

What do you think your audience values? What do they care about or respect? Explain at least three things you think the audience values.

What is the topic (the problem) for your essay? What is your proposed solution?

Using a signal phrase and citation, write a quotation from the article that exhibits the writer’s credibility or trustworthiness or, alternatively, where the writer hurts his/her credibility or trustworthiness. (NOTE: quote something from the article itself, not from the headnote in the textbook.) Then write 3-4 sentences explaining how you draw your conclusions about the writer’s credibility from the quotation: How do these lines make the writer seem more/less credible or trustworthy? How do these lines shape how the reader views the writer? What is the effect of this appeal on the persuasiveness of the larger argument?