MATHS MAINS 2017 , HOW WAS THE EXAM ? and Expected marks ( those which are sure shot correct )

Aks11

did anyone solve the question where u have to show that sinx/x is absolutely divergent?

i did...its given as solved eg in shanti narayan

Bro can u please upload snapshot of the answer page..I cants find in the book

page 16.29 in improper integrals in shanti narayan

wrong_password

how to solve this question:
mains- 2017 (mathematics), paper-1 , question no- 2 (d)

regarding dimension of subspace U intersection W

dim(U intersec W) = dim(U) + dim(W) - dim(U+W) = 8 - dim(U+W)
U is a subset of U+W and U+W is a subset of V, Thus possible values of dim(U+W) = 4,5,6

Thus possible values of dim(U intersec W) = 4,3,2

10 marks ke liye itna hi karna hai..ya phir koi random subspace of given dimension man kar ke show karna hai ??

thats it. solution from schaum for same question

how to solve this question:
mains- 2017 (mathematics), paper-1 , question no- 2 (d)

regarding dimension of subspace U intersection W

dim(U intersec W) = dim(U) + dim(W) - dim(U+W) = 8 - dim(U+W)
U is a subset of U+W and U+W is a subset of V, Thus possible values of dim(U+W) = 4,5,6

Thus possible values of dim(U intersec W) = 4,3,2

10 marks ke liye itna hi karna hai..ya phir koi random subspace of given dimension man kar ke show karna hai ??

thats it. solution from schaum for same question

Thnx bro

wrong_password

I'm dependent on IMS notes only considering lack of time.
IMS notes se linear algebra kiya but still not able to solvethis qstn ..

pls give hint--

saimadhav

I'm dependent on IMS notes only considering lack of time.
IMS notes se linear algebra kiya but still not able to solvethis qstn ..

pls give hint--

for intersection: from eq1 take z=x+y. substitute in eq2. you get x=y. then substitute in 3rd eq and ensure that it satisifies eq3. take x=1 , then y=1 and z=2. So (1,1,2) is a basis. so dim=1

for dim(w1+w2) find the number of pivots

saimadhav

anyone?

p2 2017

wrong_password

anyone?

p2 2017

topic not covered yet

wrong_password

2014- P1
how to proceed ?

is this correct ?
1. dim v= 3
basis= {(1,0,0,0), (0,1,1,1), (0,0,1,2)}

2. dim w=2
basis= {(1,0,0,0), (0,1,1,1)}

3. how to proceed for v inters w ??

Hybrid

How to solve this one.. at least tell me from which section it has come from the complex analysis... and also share the approach... m getting no clue...

Interesting...

f is entire => f' is entire => fn is entire and hence analytic

But given that the zeros of fn are 1,1/2,1/3... => non-discrete set => fn is identically zero => f is a polynomial

seem right?

Hybrid

anyone?

p2 2017

Let w1 and w2 be two solutions of the given pde.

Then, u = w1 - w2 satisfies the laplace eq. with boundary condition u = 0 on the closed curve.

Now, Del^2(u) = 0 in S and u = 0 on curve (gamma)

But u can take maximum and minimum values only on the boundary (using max/min principle) => u is identically 0 in S

Therefore, w1 - w2 = 0 in S => w1 = w2

Hybrid

2014- P1
how to proceed ?

is this correct ?
1. dim v= 3
basis= {(1,0,0,0), (0,1,1,1), (0,0,1,2)}

2. dim w=2
basis= {(1,0,0,0), (0,1,1,1)}

3. how to proceed for v inters w ??

intersection keliye take all conditions together => b-2c+d=0; a=d; b=2c