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(2) if x,y,z is choosen at random from whole no.(needed not to be different) than fimd the probability that x,y are even in x+y+z=11.

(1) how can i solve fⁿ(x)g(x)dx + (-1)ⁿ⁺¹gⁿ(x)f(x)dx

(1)x²+12=y⁴ find all integral solution.

(1) if f(x+y)+f(x)f(y)=f(x)+f(y)+f(xy)

than find out all these function.

(1) if f(x)+f(x+f(y))=2x+y

than find out all these function.

(1) solve this expression x⁶-6x+5=0

(1) how can i solve fⁿ(x)g(x)dx + (-1)ⁿ⁺¹gⁿ(x)f(x)dx

plz anyone solve this question bcz mae bahuat frustrate hoo gayaa hoo iss question sae.

Evaluate _{[0 ]}^[infinity]sinkx(cosx)^k/x, where (k belong to I⁺).

plz gave the explanation of this.

(2) if f(x)=x⁴+17x³+80x²+203x+125=0

than find a min polynomial g(x)

such that f(3+-3) = g(3+-3)

and f(5+-5) = g(5+-5).

means f(3+3) = g(3+3) and f(3-3) = g(3-3) same for second f(5+5) = g(5+5) and f(5-5) = g(5-5)

(1) if the expression x³-3x²-9x+p=0 has 2 equal root than thevalue of p =?

ans: -1 and other is +ve value.

(2) if x,y,z is choosen at random from whole no.(needed not to be different) than fimd the probability that x,y are even in x+y+z=11.

(1) if p(x)=x⁵+x³+1 has a root a₁,a₂,a₃,a₄,a₅

and q(x)=x²-2 than find out the value of q(a₁).q(a₂).q(a₃).q(a₄).q(a₅)

(2) if f(x)=x4+17x3+80x2+203x+125=0

than find a min polynomial g(x)

such that f(3+-3) = g(3+-3)

and f(5+-5) = f(5+-5).

(1) 111111111 up to1111 times.

when we divide this expression by 271

what will be the remainder.

Q2 THe number of positive integral solutions of x to the power 4 + y to the power 4 = 3789108

1 )Evaluate _{[0 ]}^[infinity]sinkx(cosx)^k/x, where (k belong to I⁺).

plz gave the explanation of this.

(1) how can i solve fⁿ(x)g(x)dx + (-1)ⁿ⁺¹gⁿ(x)f(x)dx

plz gave ahint about this question.