The graph of a function f forms a straight line from (-1,-1) to (0,-1) and becomes a diagonal line from (0,-1) to (2,1) then form a diagonal line from (2,1) to (3,0). Sketch the graphs of the following equations.

$$y=|f(x)|$$

Write a program that translates a number between 0 and 4 into the closest letter grade. For example, the number 2.8 (which might have been the average of several grades) would be converted to B–. Break ties in favor of the better grade; for earlier example should be a B. Use a class Grade with a method getNumericGrade.

Two straight wires are positioned at right angles to each other as in figure. What is the net force on each wire? Is there a net torque on each wire?

The position of a car moving on a straight highway is given by

$$x=t^2-\frac{t^3}{90} m$$

where t is the time in seconds. Determine (a) the distance traveled by the car before it comes to a stop; and (b) the maximum velocity reached by the car.

The electric field at a distance of 0.01 m from a long straight wire is directed toward the wire and has a magnitude of $10^6 \mathrm{~N} \mathrm{C}^{-1}$. What is the charge per unit length on the wire?

Is the following line of code a method header or a method call?

public static void calcTotal()

(a) Using the given figures, find the average value on $0 \leq x \leq 2$ of

(i) f(x)

(ii) g(x)

(iii) $f(x) \cdot g(x)$

(b) Is the following statement true? Explain your answer.

Average(f) $\cdot$ Average(g) = Average(f $\cdot$ g)

Starting from the rest and moving in a straight line, a cheetah can achieve a velocity of $V_2=31\:\dfrac{\text{m}} {\text{s}}$ during a period of $t_2=4\text{ s}$. What is the average acceleration of the cheetah?

Is the following line of code a method header or a method call?

calcTotal();

Devise a rule for finding your distance in kilometers from a lightning flash by counting the seconds from the time you see the flash until you hear the thunder. Assume that the sound travels to you along a straight line.

Suppose an analyst reformulates financial statements to prepare the alternative decomposition of ROCE for a firm with no debt. The analyst determines that the company holds excess cash as large marketable equity securities. The result will be net financial obligations that are negative. Assume that operating ROA is positive and large. How will this affect the decomposition of ROCE = Operating ROA + (Leverage x Spread)? How do you interpret the net borrowing rate for this firm?

A car is traveling at 100 km/h along a straight, level road when its brakes become locked. Determine the stopping distance of the car knowing that the coefficient of kinetic friction between the tires and the road is 0.65.

Several years ago, Jenkins Company acquired a controlling interest in Lambert Company. Lambert recently borrowed $100,000 from Jenkins. In consolidating the financial records of these two companies, how will this debt be handled?

Use the results of previous problems to evaluate $\oint_C(6 z+4) d z$ where $C$ is (a) the straight line from $1+i$ to $2+3 i$, and (b) the closed contour $x^4+y^4=4$.