Answer:
relative clause
noun clause
adverbial clause
Explanation:
Let's look closer at the given sentences.
1) "that dangled from the ceiling fan." - this is a dependent clause because it can't convey full meaning on its own. Relative clauses are dependent clauses that modify the noun preceding them. They usually start with words such as that, which, who etc. and give us more specific information about the noun. In this case Nathan refused to go to the specific spider that dangled from the ceiling fan.
2) "whatever you wish." - this is also a dependent clause. Noun clauses don't modify any word; they simply replace all of the possibilities that could be listed. In this case, you can believe in magic, love, flying pigs, aliens etc. and all these nouns can be replaced with a general noun clause "whatever you want". Noun clauses usually start with whatever, whoever, whomever etc.
3) "When you go to the grocery store," - this is also a dependent clause. Adverbial clauses function as adverbs, which means that they modify verbs. They usually tell us how, why and when some action occured (or will occur). In this case, this clause is giving us the time frame that modifies the verb "do not forget to buy".
