# ques

1. ### Mechanics Ques ( M1)

The questions and answers are in the attachment! For No4 (iii) Since the stone is moving downward in the container and the resistance to motion acting upwards i did mg - R = ma But it did the inverse in the marking scheme , can someone explain me it ? For 5(i) i don't understand how to...
2. ### Mechanics Ques ( M1)

An object of mass 10kg slides down a plane inclined at 8° to the horizontal , starting from rest at the point A. The point B is a distance of 15m down the plane from A. The speed of the object when it reaches B is 5 ms. For the motion from A to B , find (i) the increase in the kinetic energy of...
3. ### compl. nos. ques.

hi... there has been a question which always crosses my mind whenever i see complex numbers... we say.. |x| is defined as squareroot(x^2) so, why do we not write |i| as i... (squareroot(i^2)=i)? (note that 'i' means iota) now u'll say that modulus function has also been defined as distance of...
4. ### Some help/input on Limit Comparison Series Ques.

\sum_{n=3}^{\infty} \frac{2n+8}{[n ln(n)]^2 +4} Can anyone give me some input as to what I could compare this to. At first glance, maybe I could do a limit comparison test with bn= \frac{2n}{[n ln(n)]^2} , which would simplify to \frac{2}{n [ln(n)]^2} Since n is the dominant term, would I...
5. ### de moivre ques involving tan

how does one go from [Im(cos theta + i sin theta)^3]/[Re(cos theta + i sin theta)^3] to =[3cos^2 theta sin theta - sin^3 theta]/[cos^3 theta - 3 cos theta sin^2 theta] I heard it's something to do with some triangle but I don't understand the details. Help would be much appreciated
6. ### probability ques

hi,can anyone please help me out with this?thanks in advance! four letters (each written to a different person) are randomly placed into four envelopes ( these already have the persons' addresses on it).what is the probability that a) no letter is placed correctly? b) one letter is placed...
7. ### proof ques

In a triangle ABC, D,E & F are any 3 points on sides AB,BC & CA respectively..given that 1)AD=BE=CF & 2) angle(ADF=BED=EFC) we need to prove that ABC is equilateral. ny help??
8. ### polynomial help!!! really tough ques.

when a polnomial p(x) is divided by (x-a) it leaves a remainder of a^3 and when divided by (x-b) it leaves a remainder of b^3. Find the remainder when it is divided by (x-a)(x-b) (the a and b are actually alpha and beta signs but i didn't know how to type them) please help ill try to help u in...
9. ### square root ques.

Find all the real values of x such that 1/((sqrt(2x-3))^2) > 1/4 I just want to know how to do this ques. So far i have done the following: 4 > 2x-3 ( multiplied left side by 4 and right side by (sqrt(2x-3))^2). ( sqrt x square only 2x-3 remains) x<19/2 (isolated x...) Any help would...
10. ### simple probablility ques.

300 discs of different colour. 100 pink, 100 blue and 100 orange. each is numbered from 0-99 5 discs are selected at random. one and a time, with replacement. what is the probability of getting exact 2 orange disc that ends with a 6?
11. ### Integration Ques

I need to integrate the following but am unsure how to do it: x(3-x)^{100} Can I multiply the outside x into it?
12. ### Mechanics Problem!

Question : Determine the force in each member of the truss.Note the zero in any zero-force members. How to solve this problem , Please answer in steps ,Thank you
13. ### Help me with this ques.

Hey i have a question i cant solve it but m very curious to know its solution Help me!! Here it is: Two rays are drawn through a point at an angle of 30*.A point B is taken on one of them at a distance d from the point A.A perpendicular is drawn from the point B to other ray and another...
14. ### Higher order Derivative Ques

show that the equation f" (x) + 4 f'(x) + 4 f(x) = 0 is satisfied if f(x) = (3x-5)e^-2x What is this question asking me to do? I know I will need to find the first and second derivative but where does the + 4 part fit in?

19. ### Boolean eqn from table ques.

Hi everyone, Can someone help me with this..I dont know where to start. Write the Boolean Equation that corresponds to the Truth Table as below: A B C Z 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 Pls help guide and advise...tq so much,really...
20. ### Ellipse chord joining two points subtends an angle identity can't understand the Ques

Show that an equation of the chord joining the points P(acos\omega, bsin\omega) and Q(acos\theta, b sin\theta) on the ellipse with equation b^2x^2+a^2y^2=a^2b^2 is Bxcos\frac{1}{2}(\theta+\omega)+aysin{1}{2}(\theta+\omega)=abcos{1}{2}(\theta-\omega) (SOLVED) “Prove that, if the chord PQ...