Recent content by intelli

Homework Statement Determining the chromatic polynomial Pk(G) for following graph Homework Equations The Attempt at a Solution I did the solution in the picture so i get k and k-1 the colors should not be same as adjacent so that sounds like 2 colors is that all i need to...

can some one explain four color theorem with disconnected countries not enough colors to color entire map i sort of understand this but disconnected countries is what i do not get...

i need some hints on how to do this problem If a connected planar graph with n vertices all of degree 4 has 10 regions, determine n

Homework Statement find the length of the arc x = 3y^ (4/3) - 3/32y^(2/3) and y lies between 0 and 216 Homework Equations l = integral sqrt (1 + (dy / dx )^2) The Attempt at a Solution after integration i got this y + 3/16y ^(-4/3) / (-4/3) i have to apply 0 and...

thx its right

Well i he did a similar problem but i still don't get it this is what he did y = x^2 -c^2 y = (0)^2-C^2 y = c^2-X^2 y = c^2-(0) y = c^2 c^2-X^2=x^2-C^2 2c^2 = 2x^2 +-c = X area integral a to b (y top - y bottom)dx 110 = integral -c to c (c^2-x^2)-(x^2-c^2)

no i tried all that and it still doesn't work is the math correct the formula i mean i don't even know if i am even doing the problem right

no i tried that it doesn't work

ok x = + c , -c a = 4 integral 0 to c (c^2-x^2)dx 110 = 4 times [ c^2*x-(1/3)x^3] limit 0 to c 110 = (8/3) c^3 c = 3.45

ok x = + c , -c a = 4 integral 0 to c (c^2-x^2)dx 110 = 4 times [ c^2*x-(1/3)x^3] limit 0 to c 110 = (8/3) c^3 c = 3.45

Find c>0 such that the area of the region enclosed by the parabolas y= x^2-c^2 and y = c^2-x^2 is 110 what is value of c i got 3.49 and it is wrong i don't understand how to do this problem any help would be greatly appreciated

yes so i get this is this right after integrating 2/3 x^3/2 ln x (between limits 1 to 5 ) - 4/9 x^3/2 (between limits 1 to 5) and i get 9.602

so is this right du = 1/x dx v = 3/2x^3/2 and plug into the parts formula?

Homework Statement integral limit 1 to 5 integral of sqrt x * lnx dx a = 1 b= 5 Homework Equations The Attempt at a Solution 2 x (-1 + 2 Log[x]) ------------------ 8 11.99604193 but its not right

thanks a lot guys i figured it out