Identify two reasons why insects sometimes must be controlled.

Place a check next to each sentence in which the subject and verb agree. _____ On the fence post hangs several pieces of twine.

A small-scale hydraulic power system is shown. The elevation difference between the reservoir water surface and the pond water surface downstream of the reservoir, $H$, is $15 \mathrm{~m}$. The velocity of the water exhausting into the pond is $5 \mathrm{~m} / \mathrm{s}$, and the discharge through the system is $1 \mathrm{~m}^3 / \mathrm{s}$. The head loss due to friction in the penstock is negligible. Determine the power produced by the turbine in kilowatts.

In the following sentence, underline each preposition and draw an arrow from the preposition to its object.

However, the new "penny post" made mail delivery affordable for most people

Sketch the graph of a differentiable function $y=f(x)$ that has local maxima at $(1,1)$ and $(3,3)$.

A winch puller $A B$ is used to straighten a fence post. Knowing that the tension in cable $B C$ is $1040 \mathrm{~N}$ and length $d$ is $1.90 \mathrm{~m}$, determine the moment about $D$ of the force exerted by the cable at $C$ by resolving that force into horizontal and vertical components applied $(a)$ at point $C,(b)$ at point $E$.

Find (by hand) all critical numbers and use the First Derivative Test to classify each as the location of a local maximum, local minimum or neither. $y=x^{4 / 3}+4 x^{1 / 3}$

For apparel manufacturer Ann Taylor, Inc., classify each of the following costs as either a product cost or a period cost: c. Advertising expenses

Determine whether the statement is true or false. If $f^{\prime}(c)=0$, then $f$ has a local maximum or minimum at $c$.

Explain how bleeding is naturally controlled after the placenta is expelled.

a. What characteristics do echinoderms have? b. How does an echinoderm use its tube feet to grip a surface? c. Why is movement using tube feet slow?

Refer to the business transactions below.

• Jan. 5 - Issued check no. 430 to purchase equipment for cash, $1,700.
•        7 - Purchased merchandise inventory for cash,$450, issuing check no. 431.
•      18 - Paid Kat Co. amount owed, $775, less$100 discount. Issued check no. 432.
•      28 - Issued check no. 433 to pay utilities, $260. The bill was just received, and there is no liability recorded.

Use the following cash payments journal to record the preceding transactions.

Find the stationary points and the local extreme values.

$$f(x, y)=x^2+2 x y+3 y^2+2 x+10 y+1$$

Let ƒ(x) = e˟+x²/e˟. Find the local extreme values of ƒ and where they occur.