Other Engineering Answers

2

b. y = (sqrt(a) + root(2, b)) ^ pi, reca that root(4, h) = h ^ (1 / s) and use sqrt. You can also use nthroot (refe to the MATLAB help to understand the difference between nthroot and a fractional power)

4. Scalar equations. Using the variables created in 1, calculate x, y, and z.

a. x = 1/(1 + e ^ (- (a - 1S) / 6))

3. Matrix variables. Make the following variables

aMar=[ matrix 2&...&2\\ vdots& vdots& vdots\\ 2&...&2 matrix ] a 9x9 matrix full of 2^ prime 5 (use ones or zeros)

a.

b. AAtre[ matrix 1&0&.&0\\ 0&..&0&.\\ ...&.&.&.\\ .&0&...&...\\ 0&-&0&1 matrix ]. [1 2 3 4 5 4 3 2 1] on the main diagonal (use zeros, diag) 9x9 matrix of all zeros, but with the values

c. 07=[ matrix 1&11&...&91\\ 2&12&...&92\\ vdots& vdots&& vdots\\ 10&20&...&100 matrix ]a 10*10n

columns (use reshape).

dMat=[ matrix NaN&NaN&NaN\\ NaN&NaN&NaN&NaN\\ NaN&NaN&NaN matrix ], d. 3x4 NaN matrix (use nan)

e. eMat = [[13, - 1, 5] [- 22, 10, - 87]]

f. Make Mar be a 5x3 matrix of random integers with values on the range -3 to 3 (First use rand and floor or ceil. Now only use randi)

2. Vector variables. Make the following variables

a. qVec = [[3.14, 15, 9, 26]] BVec = [[271] [8] [28] [182]] b.

d. dVec=[10^ 10^ 0.01 10^ 0.99 10^ 1 ] (Logarithmically spaced numbers between 1

and 10, use logspace, make sure you get the length right!)

e. eVec=Hello(eVec is a string, which is a vector of characters)

C. c Vec=[ matrix 5&4.8&-4. matrix -5] (all the numbers from 5 to -5 in increments of -0.2)

1. A ball traveling in the +x direction hits the wall at 30m/s and rebounds at 25m/s. If the ball is in contact with the wall for 4ms, determine the average acceleration of the ball during this time interval.

2. A grasshopper is capable of jumping to a height of 5cm. Determine the takeoff speed of the grasshopper.

3. Matthew throws a soda drink bottle vertically upward to his friend, who is in a window 5m above. The bottle is caught 2s later. What was the initial velocity given to the soft drink bottle?

4. A bullet has a speed of 350m/s as it leaves a rifle. If it is fired horizontally from a cliff 6.4 m above a lake, how far does the bullet travel before striking the water?

KINEMATICS

A car is accelerating in the +x direction. At 2s the car is 100m from the starting point. After an additional 5s, it is 1.5km from the starting point.

Determine the average velocity of the car for the first 5s of its travel.

Determine the average velocity of the car for the entire period of its travel.

QUESTION 9

Find the eigenvalues of

 

     

   

12 0

12 1

00 4

A and an eigenvector corresponding to   0 . (9)

[9]

1. Suppose the heights H of 800 students are normally distributed with mean 66

inches and standard deviation 5 inches. Find the number N of students with

heights:

a. Between 65 and 70 inches

b. Greater than or equal to 6 feet (72 inches)

2. A fair coin is tossed 12 times. Determine the probability P that the number of

heads occurring is between 4 and 7 inclusive by using the normal approximation.

One kg of air is subjected to a thermodynamic cycle having the limiting temperatures of 900K and 300K. What is the theoretical maximum efficiency that can be obtained from the cycle.

a = 12t²t³ + t, Determine velocity equation and position equation

The magnitude of the linear acceleration of a point moving along a vertical path is given by the equation a = 6t - 24, where a is in m/s and t is in seconds. The acceleration is upward when t = 5s; The point is 4m below the origin when t = 0 and 23 m above the origin when t = 3 s.Determine:

B.1. The velocity when t = 3 sec

B.2. The displacement during the time interval from t = 0 tot = 4 s

B.3. The total distance travelled during the time interval from t = 0 tot = 4s