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

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

subject to $y(1)=1$.

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.

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

Where will Tim and Eric ride their bicycles this weekend?

What subject pronouns would you use to talk about these people? Felipe y yo

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

$$f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 },$$

x + 3y + 2z = 36

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

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 $\underline{\text{begins}}$?

In each of the following sentences, underline the parts of the compound subject. The radius of this circle and the height of that rectangle should be equal.

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

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

Find the maximum and minimum values of

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

subject to the constraint

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

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

$$f ( x , y ) = 4 x ^ { 2 } + 9 y ^ { 2 },$$

xy = 4

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

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

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.

There (lies, lie) Julia's prize rosebush.