Underline the subject complements in the following sentences. Identify each complement by writing above it PN for predicate nominative or PA for predicate adjective.

Example 1. Chico Mendes was a rubber $\overset{\textit{\color{#c34632}{PN}}}{{\underline{\text{tapper}}}}$ from Brazil.

He became the spokesperson for and a hero to the poor rubber tappers.

With the help of given graph of a function $f=f(x)$. Where is the graph increasing and concave up?

Determine bases and dimension for the solution spaces for the homogeneous system.

$$\begin{array}{rr} {2 x_{1}-2 x_{2}+4 x_{3}-2 x_{4}} {=0} \\ {2 x_{1}+x_{2}+7 x_{3}+4 x_{4}} {=0} \\ {x_{1}-4 x_{2}-x_{3}+7 x_{4}} {=0} \\ {4 x_{1}-12 x_{2}} & {-20 x_{4}=0} \end{array}$$

A laser used to repair a detached retina has wavelength of $532 \mathrm{~nm}$. The beam comes in short pulses, each lasting $25 \mathrm{~ms}$ and carrying $1.0 \mathrm{~J}$ of energy. (a) What's the power of this beam while it's on?

Is it possible for a rubber ball to be dropped from shoulder height and then bounce to a height above your head? Explain your answer.

A force has the dependence $F_x(x)=-k x^4$ on the displacement $x$, where the constant $k=20.3 \mathrm{~N} / \mathrm{m}^4$. How much work does it take to change the displacement, working against the force, from $0.730 \mathrm{~m}$ to $1.35 \mathrm{~m}$.

Using Behavior to Sketch Sketch a continuous curve y=f(x) with the following properties. Label coordinates where possible.

$$\begin{array}{c|c|l} x & y & \text{Curve} \\ \hline x<2 & & \text{falling, concave up} \\ \hline 2 & 1 & \text{horizontal tangent} \\ \hline 2<x<4 & & \text{rising, concave up} \\ \hline 4 & 4 & \text{inflection point} \\ \hline 4<x<6 & & \text{rising, concave down} \\ \hline 6 & 7 & \text{horizontal tangent} \\ \hline x>6 & & \text{falling, concave down} \end{array}$$

A particle moves in the plane so that its position at any time t, 0 ≤ t ≤ 2π, is given parametrically by x = sin t and y = cos(2t). Write an equation for the path of the particle in terms of x and y that does not involve trigonometric functions.

Calculate the capacity utilization rate for Meiji Milk Company that can produce 200000 pints of milk in its factory each day but has an output level of 180000 pints per day.

The position at time t ≥ 0 of a particle moving along the s-axis is s(t) = 10 cos (t + π/4). When does the particle first reach the origin? What are its velocity, speed, and acceleration then?

Alex Jordon fell and injured her knee. Her doctor performed a/an___________to surgically repair the damaged cartilage.
arthroplasty$\hspace{1cm}$ osteochondroma$\hspace{1cm}$chondroplasty$\hspace{1cm}$cranioplasty

The Windshield Doctors repair chips in car windshields. The company incurred the following operating costs for the month of March 2018:

$$\begin{array}{lrr} \hline\\ \text{Salaries and wages}&\text{\$\hspace{5pt}12,000}\\ \text{Windshield repair materials}&\text{4,600}\\ \text{Depreciation on truck}&\text{300}\\ \text{Depreciation on building and equipment}&\text{1,200}\\ \text{Supplies used}&\text{300}\\ \text{Utilities}&\text{460}\\ \\\hline \end{array}$$

The Windshield Doctors earned $23,000 in service revenues for the month of March by repairing 500 windshields. All costs shown are considered to be directly related to the repair service.

Requirements

1. Prepare an income statement for the month of March.
2. Compute the cost per unit of repairing one windshield.
3. The manager of Windshield Doctors must keep unit operating cost below$50 per windshield in order to get his bonus. Did he meet the goal?

Respond with true or false to each of the following assertions. Be prepared to justify your answer.

The solids obtained by revolving the region of given problem about x=0 and x=1 have the same volume.

(a) find the intervals where the function f is increasing and where it is decreasing, (b) find the relative extrema of f, (c) find the intervals where the graph of f is concave upward and where it is concave downward, and (d) find the inflection points, if any, of f. $f(x)=(1-x)^{1 / 3}$