(ds/dt)=v,(dv/dt)=a,(da/dt)=b,(db/dt)=e,(de/dt)=f
(df/dt)=g,(dg/dt)=h,(dh/dt)=i,(di/dt)=j,(dj/dt)=k,.....
now if we continue this process to
infinity..and if v_0 ,v,a,b,e,f,g,h,i,
j,................=1 .then calculate
the formula of v and s ...
P,Q,R,S are four locations on the
same horizontal plane.Q is on a
bearing of 041° from P and the
distance is 40km.
S is 28km from R on a bearing 074°,
R is directly due north of P and
the distance between Q and R is
38km.
(a)the bearing of R from Q
(b)the distance between Q and S
(c)the distance between P and R
A platform and a building are on
the same horizontal plane.The
angle of depression of the bottom
C of the building from the top A
of the platform is 39°.The angle of
elevation of the top D of the
building from the top of the
platform is 56°.Given that the
distance between the foot of the
platform and that of the building
is 10m,calculate the height of the
building to the nearest whole
number.
Question continuing from
mrW1 post on p^2 mod n≡1.
Find a number n such that
for all m<n such that HCF(m,n)=1
m^2 mod n =1
e.g. for 12 possible value of m
are 1,5,7,11.
A light wire which obeys hooke′s law hangs vertically on a fixed support.
The wire has an unstretched lenght of 15cm. The lenght of the wire however
increase to 20cm when a load of 0.5kg is attached to it lower end . What is the
tension in the wire when the load is at rest ?.
If the load is pulled down until the lenght of the wire is 22cm. What is the new
tension in the wire (g = 9.8 m/s).
The volume of a right circular cone is 5 litres . Calculate the volumes of the two
parts into which the cone is divided by a plane parallel to the base , One third
of the way down from the vertex to the base. Give your answer to the nearest
ml.
Assuming no air resistance,
and angle of projection α=(π/4) ,
find the ratio of the length of
trajectory L of a projectile motion
(by the time it hits the ground)
to its horizontal range R on
ground. (L/R)=?
Volume of a bubble is 3 times larger
when it reaches the surface from the bottom
of the lake.
What is the depth of the lake?
(A) 10 m (D) 40 m
(B) 20 m (E) 50 m
(C) 30 m
The sum of the series
sinθ + sin(((n − 4)/(n − 2)))θ + sin(((n − 6)/(n − 2)))θ + ... n terms
is equal to
(1) sin(((nθ)/(2 − n)))
(2) cos(((2nθ)/(2 − n)))
(3) tannθ
(4) cotnθ