[" (828) If "n+y=-1" whore n fo "],[y!=0" of "3" then find the value "]

The line y=mx+n is the reflection of 5x-3y=10 about the line y=x, then find the value of n.

If y =sinpx and y_n is the nth derivative of y , then find the value of |{:(y,y_1,y_2),(y_3,y_4,y_5),(y_6,y_7,y_8):}|

If y = sin px and y_n is the nth derivative of y , then find the value of |(y, y1, y2), (y3, y4, y5), (y6, y7, y8)|

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

If x, y, k, m, n are positive and x + y = k, then find the maximum value of x^(m)y^(n) .

if y=x^(n) then find the value of (d^(y))/(dx^(n))

Let A_n be the area bounded by the curve y = x^n(n>=1) and the line x=0, y = 0 and x =1/2 .If sum_(n=1)^n (2^n A_n)/n=1/3 then find the value of n.

If the curves a y+x^2=7a n dx^3=y cut orthogonally at (1,1) , then find the value adot