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Plot the numbers −1 & 1\6 and 1 & 1\6
on the number line below.
on the number line below.
Let A and B be any two events defined on the same sample space. Suppose P(A) = 0.3 and P(A B) = 0.6. Find P(B) such that A and B are independent.
A = sin ti + cos tj + tk, evaluate
d2A/dt2
d2A/dt2
1.The set of data a={ 12,6,7,3,15,10,18,5 } and b={ 9,3,8,8,9,8,9,18 }.
i. Measure the central tendency(mean, median, mode ,GM,HM) of a given data set and explain which one is the poor measure
ii. Measure the dispersion(range, mean deviation, standard deviation, variance) of a given data set and explain which one is the poor measure
iii. Measure the skewness and kurtosis of a given dataset and explain
i. Measure the central tendency(mean, median, mode ,GM,HM) of a given data set and explain which one is the poor measure
ii. Measure the dispersion(range, mean deviation, standard deviation, variance) of a given data set and explain which one is the poor measure
iii. Measure the skewness and kurtosis of a given dataset and explain
Obtain the Fourier series expansion for the following periodic function which has a period of
2π:
π ≤ ≤ π
+ π − π ≤ ≤
=
x
x x
f x
for 0
for 0
2π:
π ≤ ≤ π
+ π − π ≤ ≤
=
x
x x
f x
for 0
for 0
A panel is conducting an interview on six candidates of different heights. If they are to put them in line, in how many ways can they arrange them in line such that no three consecutive candidates are in increasing order of height from front to back?
7x-y+z=-24
2x+2y-3z=-22
x-3y+2z=2
2x+2y-3z=-22
x-3y+2z=2
Show that for any vector field F
∇.(∇×F) = 0
∇.(∇×F) = 0
Math
Determine the metric coefficients for the coordinate system (u,v,z) whose coordinates are
related to the Cartesian coordinates by the following equations
x=1/2(u^+v^);y=2uv;z=z
Is the system orthogonal?
related to the Cartesian coordinates by the following equations
x=1/2(u^+v^);y=2uv;z=z
Is the system orthogonal?
Math
The position vector of an object of mass m moving along a curve is given by
, 0 1
ˆ cos ˆ
sin ˆ
( )
2
r t = at i + bt j+ bt k ≤t ≤
r
, where a and b are constants. Calculate the force
acting on the object and the work done by the force
, 0 1
ˆ cos ˆ
sin ˆ
( )
2
r t = at i + bt j+ bt k ≤t ≤
r
, where a and b are constants. Calculate the force
acting on the object and the work done by the force
