Translate each sentence into symbolic form: symbols let r="it is raining" f(x) = "x is a frog" use for all g(x) = "x is green" h(x) = "x hops" . 7 there exists let the domain for f, g, and h be all animals. (a) some frogs are not green. 1 = and ve or = then (b) all green frogs hop. ~= negation (c) if nothing is green, then green frogs do not exist. (d) green frogs hop if and only if it isn't raining. (e) if exactly two green frogs hop, then it is raining. (f) some animals are green and some are not green. (g) find the negation of the answer in part (f) and write it in english.