If you were the subject of the flyer given, how would you feel? How might you respond to it ?

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

$$0≤x_≤6, 0≤x_2≤3, 7x_1+14x_2≤84.$$

Identify the subject, and determine its number. Then, choose the correct verb. Marilyn or her brother (is/are) going to die.

Find the maximum and minimum values of

$$x ^ { 2 } + y ^ { 2 }$$

subject to the constraint

$$x ^ { 2 } - 2 x + y ^ { 2 } - 4 y = 0.$$

In each of the following sentences, underline the parts of the compound subject. Alfalfa or soybeans will grow in those fields next year.

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.

Find the minimum and maximum values of the function subject to the given constraint.

$$f ( x , y ) = x ^ { 2 } + y ^ { 2 } , \quad x ^ { 4 } + y ^ { 4 } = 1$$

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

subject to, prone

Find the solution $y=y(x)$ of

$$x \frac{d y}{d x}+y-\frac{y^2}{x^{3 / 2}}=0,$$

subject to $y(1)=1$.

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

The highlight of the celebration (remains, remain) the fireworks.

In the following sentence, circle the subject of the underlined verb. Then, if the verb does not agree in number with its subject, write the correct form of the verb above the incorrect form. If the verb is already correct, write C above it.

Has Julie told everyone what time the movie $\underline{\text{begins}}$?

Write the verb form that agrees with the subject in the sentence.

Most of his fiction (seem, seems) more brooding and serious.

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.