When did the French get involved in the American Revolution?

The image of a nearby object formed by a camera lens is $(a)$ at the lens' focal point. $(b)$ always blurred. $(c)$ at the same location as the image of an object at infinity. $(d)$ farther from the lens than the lens' focal point.

Write a polynomial equation of least degree for each set of roots. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x-axis? -2, -0.5, 4

Complete each sentence by writing the form of the verb indicated in parentheses.

The hospital staff ________ a lot of coffee. (present tense of consume)

Find an equation of the tangent line to the graph at the given point.

Rotated ellipse: $7x^2-6\sqrt{3}xy+13y^2-16=0$ Point: $\left(\sqrt{3},1\right)$

Solve the given problems.

The vertical cross-section of a culvert under a road is elliptical. The culvert is $18$ m wide and $12$ m high. Find an equation to represent the perimeter of the culvert with the origin at road level and $2.0$ m above the top of the culvert.

Solve the first-order differential equation by separating variables.

$$y'=\dfrac{x^2+1}{3y^2}$$

Making Calculations The sun orbits the center of the Milky Way galaxy every 225 million years. How many revolutions has the sun made since the formation of Earth $4.6$ billion years ago?

Complete each sentence by writing the form of the verb indicated in parentheses.

The lost hikers ________ to the cleared path. (past tense of retreat)

Simplify the following given expression. Assume all variables are positive.

$$\sqrt[6]{2 x^6}$$

Give the word derived from Greek and/or Latin elements that matches given of the following. Verify your answer in a medical dictionary. Note that the wording of the dictionary definition may vary from the wording below.
Formation of calculi ________________

Complete each sentence by writing the form of the verb indicated in parentheses.

Greg and Chip _________ to dunk basketballs. (base form of try)

Factor. Assume that variables used as exponents represent positive integers.

$$2 x^{2 n}+11 x^n+5$$

Complete each sentence by writing the form of the verb indicated in parentheses.

The art students are _________ pictures of buildings. (present participle of sketch)