Using properties of determinants prove that -
(b+c)2....a2........a2
b2.....(c+a)2......b2 =2abc(a+b+c)3
c2.....c2.......(a+b)2
In this ques.. i just want to know tht after applying C1→ C1-C2, C2→ C2-C3
in this ques how can i take (a+b+c) common from C1 and C2.
show that the function f: R ---->R given by f(x)=x3 + x is a bijection.
Use matrix multiplication to divide rs. 30,000 in two parts such that the total annual interest at 9% on the first part and 11% on the second part amounts rs. 3060.
differentiate wrtx
1)log(a+ bsinx)/(a-bsinx)
2)log7(log7x)
3)(ex+e-x)/(ex-e-x)
if y= [log(x+root x2+1)]2 show that (1+x2) d2y/dx2 +xdy/dx =2
Using properties of determinats, prove that
a2 2ab b2
b2 a2 2ab
2ab b2 a2
= (a3 + b3)2
If xp.yq = (x+y)p+q , Prove that
(i) dy/dx = y/x
(ii) d2y/dx2 = 0
Using properties of determinants prove that -
(b+c)2....a2........a2
b2.....(c+a)2......b2 =2abc(a+b+c)3
c2.....c2.......(a+b)2
In this ques.. i just want to know tht after applying C1→ C1-C2, C2→ C2-C3
in this ques how can i take (a+b+c) common from C1 and C2.
(a) balls are replaced before the second draw
(b) the balls are not replaced before the second draw
show that the function f: R ---->R given by f(x)=x3 + x is a bijection.
x - 1/ x + 1.
Use matrix multiplication to divide rs. 30,000 in two parts such that the total annual interest at 9% on the first part and 11% on the second part amounts rs. 3060.
K, x = pi/4 is continuous at x = pi/4
differentiate wrtx
1)log(a+ bsinx)/(a-bsinx)
2)log7(log7x)
3)(ex+e-x)/(ex-e-x)
if y= [log(x+root x2+1)]2 show that (1+x2) d2y/dx2 +xdy/dx =2
Using properties of determinats, prove that
a2 2ab b2
b2 a2 2ab
2ab b2 a2
= (a3 + b3)2
5. Three schools A, B and C want to award their selected students for the values of honesty, regularity and hard work. Each school decided to award a sum of Rs. 2500, Rs. 3100, Rs. 5100 per student for the respective values. The number of students to be awarded by the three schools as given below:
A = 50500, 40800, 41600
If xp.yq = (x+y)p+q , Prove that
(i) dy/dx = y/x
(ii) d2y/dx2 = 0
Q. 16. Find the value of in the matrix
A =