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Check whether there exists a continuously differentiable function g defined by
f(x,y)=0 in the neighbourhood of x=3,such that g(3)=1/3.find g'(3),if it exists
f(x,y)=0 in the neighbourhood of x=3,such that g(3)=1/3.find g'(3),if it exists
∫∫1/(4+x^2+y^2)dx dy
y<x<sqrt(4-y^2) and 0<y<sqrt(2)
Solve it by changing polar co-ordinates
y<x<sqrt(4-y^2) and 0<y<sqrt(2)
Solve it by changing polar co-ordinates
Math
In a certain year, January had exactly four Tuesdays and four Saturdays. On what
day did January fall that year?
day did January fall that year?
The average of 15 integers strictly greater than 70 is 85. Among them 14 integers are strictly greater than 85. What is the remaining number?
Prove that if n or m is an odd integer, then n*m is an even integer.
Proposed proof: Suppose that n or m are even. Then n = 2k and m = 2j for some integers k and j. This shows that n*m = (2k)*(2j) = 4k*j. Therefore, n*m is even.
Proposed proof: Suppose that n or m are even. Then n = 2k and m = 2j for some integers k and j. This shows that n*m = (2k)*(2j) = 4k*j. Therefore, n*m is even.
Proposed proof: Suppose that n or m are even. Then n = 2k and m = 2j for some integers k and j. This shows that n*m = (2k)*(2j) = 4k*j. Therefore, n*m is even
Math
The vertices of a triangle ΔABC are A(p,q) , B(r, s) ,C (u,v) . Assume that these
coordinates satisfy
⎧ 2p+3r+4u=0
⎩ 2q+3s+4v=0
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
a) 2/9 b)4/9 c)2/7 d)3/7 e) 4/7
coordinates satisfy
⎧ 2p+3r+4u=0
⎩ 2q+3s+4v=0
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
a) 2/9 b)4/9 c)2/7 d)3/7 e) 4/7
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 of faucets required each day (N) has the following distribution: p(0) =0.05; p(1) = 0.25;
p(2) = 0.5; p(3) = 0.15; p(4) = 0.05.
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?
p(2) = 0.5; p(3) = 0.15; p(4) = 0.05.
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?
Identify the following differential equations and hence solve them
1) y'=-4/x^2 -y/x +y^2
2) y= xy'+1- ln y'
1) y'=-4/x^2 -y/x +y^2
2) y= xy'+1- ln y'
Math
If f(x)=x^2 find lim h -> 0 {f(x+h)-f(x)}/h
