Find the slope of the straight line passing through

(a) $\mathrm{E}(-1,3)$ and $\mathrm{F}(3,11)$

(b) $\mathrm{E}(-1,3)$ and $\mathrm{G}(4,-2)$

(c) $\mathrm{E}(-1,3)$ and $\mathrm{H}(49,3)$

A 150 g baseball pitched at a speed of 40 m / s is hit straight back to the pitcher at a speed of 60 m / s. What is the magnitude of the average force on the ball from the bat if the bat is in contact with the ball for 5.0 ms ?

In given problem, use Theorem to evaluate the given integral. Write each answer in the form $a+i b$.

$\int_C \frac{1}{z} d z, C$ is the straight line segment between $z=1+i$ and $z=4+4 i$

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?

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?

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.

The financial statements of a company are management's, not the accountant's. Discuss the implications of this statement.

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

public static void calcTotal()

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.

Height velocity graphs are used by endocrinologists to follow the progress of children with growth deficiencies. The given figure shows the height velocity curves of an average boy and an average girl between ages 3 and 18.

(a) Which curve is for girls and which is for boys? Explain how you can tell.

(b) About how much does the average boy grow between ages 3 and 10 ?

(c) The growth spurt associated with adolescence and the onset of puberty occurs between ages 12 and 15 for the average boy and between ages 10 and 12.5 for the average girl. Estimate the height gained by each average child during this growth spurt.

(d) When fully grown, about how much taller is the average man than the average woman? (The average boy and girl are about the same height at age 3.)

Relate average product to average variable cost and marginal product to marginal cost.

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 3.8 kg, with the center of mass at 40% of the arm length from the shoulder.

Part A: What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight out to his side, parallel to the floor?

Part B: What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight, but 45° below horizontal?

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?

Assuming that the returns from holding small company stocks are normally distributed, what is the approximate probability that your money will double in value in a single year? Triple in value?