Consider the function $f(x, y)=x y+x+y+100$ subject to the constraint $x y=4$. Solve the system in part (a) to verify that $(x, y)=(-2,-2)$ and $(x, y)=(2,2)$ are solutions.

Underline the subject and the correct word or word group in parentheses in each of the following sentences.

(Who's, Who are) the student assistant today?

Underline the form of the verb that agrees with the subject.
Anyone who (excavates, excavate) a dinosaur has many stories to tell.

Draw two lines under the verb in parentheses that agrees with the subject.

Three games (remains, remain) a complete set.

Write $U$ beside each sentence that has you as its understood subject. Write $I$ beside each sentence that is in inverted order. If the sentence is in inverted order, draw one line under the subject and two lines under each simple predicate.

There lived a man in an old cottage out on the headland.

Decide whether the words in each of the following pairs are antonyms or synonyms. Then, explain your reasoning.

subject to, prone

Write $U$ beside each sentence that has you as its understood subject. Write $I$ beside each sentence that is in inverted order. If the sentence is in inverted order, draw one line under the subject and two lines under each simple predicate.

Over the outfield wall sailed the ball.

Write in the blank the form of the verb in parentheses that agrees with the subject.

This is one of the reasons many persons _____ travel agencies. (use)

Circle each subject and underline each verb in the following sentences.

Where will Tim and Eric ride their bicycles this weekend?

Maximize

$$z=f_1(x)=7x_1+14x_2$$

subject to

$$0≤x_≤6, 0≤x_2≤3, 7x_1+14x_2≤84.$$

Circle each subject and underline each verb in the following sentences.

Christina played the guitar and sang songs from Chile.

Underline the subject and the correct word or word group in parentheses in each of the following sentences.

Where (is, are) the other assignments for the class?

Draw two lines under the verb in parentheses that agrees with the subject.

Three hours (was, were) devoted to practicing piano.

Draw two lines under the verb in parentheses that agrees with the subject.

The constellation the Big Dipper (is, are) becoming the Big Spatula.