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Find x and y , given that (5x+y,3x-y) = (2,2x) belong to Q*Q?
Draw a venn diagram of sets A ,B and C where A subset equal to B , A intersection C doesn't equal to phi , B intersection C doesn't equal to phi . What is the universal set you have chosen? Justify your choice of sets in the diagram?
A plumber loads his truck each morning with faucets that will be needed for the service
calls and other emergency calls that come in that day. Based on past experience, the
number, N, of faucets required each day has the following distribution:
The expected value of N is then 1.9 faucets required each day.
a. Each faucet requires 25 minutes to install. What is the expected number of
minutes the plumber will spend each day installing faucets?
b. The plumber loads 5 faucets in his truck each day. Over all days, what is the
average number of faucets he can expect to have left at the end of the day?
c. Each faucet costs the plumber $15.80 at the plumbing supplies store. What is the
expected cost for all replacement faucets that are installed each day?
d. If the variance of the number of faucets required each day is 0.79 , what is
the standard deviation of the cost of the replacement faucets installed each day?
calls and other emergency calls that come in that day. Based on past experience, the
number, N, of faucets required each day has the following distribution:
The expected value of N is then 1.9 faucets required each day.
a. Each faucet requires 25 minutes to install. What is the expected number of
minutes the plumber will spend each day installing faucets?
b. The plumber loads 5 faucets in his truck each day. Over all days, what is the
average number of faucets he can expect to have left at the end of the day?
c. Each faucet costs the plumber $15.80 at the plumbing supplies store. What is the
expected cost for all replacement faucets that are installed each day?
d. If the variance of the number of faucets required each day is 0.79 , what is
the standard deviation of the cost of the replacement faucets installed each day?
Solve x^4 -8x^3+ 21 x^2 -20 x +5 =0 given that the sum of two of its roots is 4.
Identify an axis of revolution and generating conic of the surface 4x^2+25y^2+4z^2=100 . Does this conic also generates( x^2/4) +(y^2/25) + (z^2/4)=1 ? Give reason for your answer?
A rotating liquid forms a surface in the form of a paraboloid . The surface is 2m deep at the centre and 10 m across.Obtain an equation of the surface?
Which of the following statement are True? 1. x+y+z =0 touches the cone x ^2 + y^2+ z^2 +2(yz+zx+xy) =0 ?
Differentiate tan ^(-1) (( sin x -cos x ) /(sin x + cos x )) with respect to (1/2 )x ?
For which value (s) of k , is the function f , defined as below , continuous at x= 2 ?
f(x) ={ 3- kx , 1<= x<2 . (x^2/4) -3 , x>=2 . Further , at which other points in [1, infinity [ is f continuous , and why ?
f(x) ={ 3- kx , 1<= x<2 . (x^2/4) -3 , x>=2 . Further , at which other points in [1, infinity [ is f continuous , and why ?
If f(x) = (4x^2-7x-2) /(x-2) , x!= 2 , find a del > 0 such that |f(x)-9 |<(1/100) for 0< |x-2|<del . Hence show that Lim tends to 2 f(x) = 9 ?
