Reference no: EM131190808
Answer all the questions.
Q1. Consider a parallelogram with vertices A, B, C and D.
Show that the area of triangle ABD is equal to the area of the triangle ABC.
Q2. Show that if A(a1, a2 , a3 ), B(b1,b2 ,b3 ) and C(c1, c2 , c3) are three fixed points on a plane and P(x, y, z) is a general point on the same plane, then
Q3. Two particles move in a plane, both starting from the origin, in such a way that, after time t seconds, their position vectors are 3(cos t - 1)i + (4sin t) j and (3sin t)i + 4(cos t - 1) j . Find the value of t when the particles are first moving in the opposite direction.
Q4. Two particles P and Q move in the positive direction on the x-axis, P with constant acceleration 2 m/s2 and Q with constant acceleration of 1 m/s2. At time t = 0, P is projected from the origin with speed 1 m/s and at time t = 4, Q is projected from O with speed 16 m/s. Find the times between which Q is ahead of P. Find also the distance from O at which Q overtakes P, and the distance from O at which P overtakes Q.
Q5. Particle A is located at the Origin, while particle B is located 10 units due north of A. B is moving with velocity vB = 2i - 5j.
(a) If A can move with speed 2 unit/s, in what direction should A move in order to intercept with B? How long does the interception take?
(b) If A move with velocity vA = 4i + j, what is the shortest distance between A and B?
|
Statement of retained earnings
: TriCycle, Corp. began the year 2008 with $27 million in retained earnings. The firm earned net income of $8.7 million in 2008 and paid $1.17 million to its preferred stockholders and $3.17 million to its common stockholders. What is the year-end 2..
|
|
Describe and interpret the analyses in at least three pages
: Consult business literature to find a current, important problem in business that can be answered based on data analysis. Keep a reference to the source where you found the problem in your document. Describe the problem in minimum one page, maximu..
|
|
Statement of retained earnings
: Night Scapes, Corp. began the year 2008 with $25 million in retained earnings. The firm suffered a net loss of $3 million in 2008 and yet paid $2.1 million to its preferred stockholders and $1.1 million to its common stockholders. What is the year..
|
|
What are the monthly payments
: You wish to buy a $10,900 dining room set. The furniture store offers you a 2-year loan with an 11 percent APR. 1. What are the monthly payments? 2. How would the payment differ if you paid interest only per month?
|
|
What is the shortest distance between a and b
: Show that the area of triangle ABD is equal to the area of the triangle ABC and show that the area of triangle ABD is equal to the area of the triangle ABC.
|
|
What is its ytm
: A bond currently sells for $887 even though it has a par of $1,000. It was issued two years ago and had a maturity of 10 years. The coupon rate is 7% and the interest payments are made semiannually. What is its YTM? (Show workings)
|
|
Design the control with multiplexers
: The state diagram of a control unit is shown in Fig. P8-10. It has four states and two in-puts. x and y. (a) Draw the equivalent ASM chart, leaving the state boxes empty. (b) Design the control with multiplexers.
|
|
Interest payments are made semiannually
: A bond currently sells for $887 even though it has a par of $1,000. It was issued two years ago and had a maturity of 10 years. The coupon rate is 7% and the interest payments are made semiannually. What is its YTM? (Show workings)
|
|
Develop a situation analysis for the enterprise
: The task is now to develop a situation analysis for the enterprise or organisation that you selected for your project proposal. The situation analysis will make up the first half of your completed marketing plan
|