[x+1],[(" CISE "7.6)/(" 2.")],[" 3."x^(2)e^(x)]

[" The solution of equation "],[log((dy)/(dx))=9x-6y+6;" given that "],[y(0)=1" is "],[[" (1) "4e^(6y)=3e^(9x+6)+e^(6)," ( ) "],[" (2) "3e^(6y)=4e^(9x+6)-e^(6)," 3e "6y=2e^(9x+6)+e^(6)],[" (4) "2e^(6y)=3e^(9x+6)-e^(6)]]

" (6) "int(e^(2x))/(e^(2x)+1)dx

intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i s (a) 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k (b) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k (c) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k (d) -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(e(a^(2x)b^(3x)))+k

The value of x, for which the matrix A = [(e^(x-2),e^(7+x)),(e^(2+x),e^(2x+3))] is singular is

The value of x , for which the matrix A = [ {:(e^(x-2) , e^(7+x) ),(e^(2 + x) , e^(2x + 3)):}] is singular, is

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

Find the value of x for which A= [(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))] is singular: