>>116369991)
3x^2dx-3y^2dy=dy
4dy = 3dx
dy/dx = 4/3
2)
R(6)-R(5)= 200/10-200/11
3)
f(x)=x^1/4
Talyor at x=16
T(x)=2+f'(16)(x-16)=2+1/4*(x-16)/(16)^(3/4)
T(16.32)=2+1/4/8*0.32=2.01
4)
f(x)=e^xln(x)
f'(x)=e^xln(x)*(ln(x)+1)=x^x * (1+ln(x))
5)
y=2/3 for x->inf
y=-5/2 for x->-inf
6)
dA/dt = 4pi*2*R*dR/dt
16pi = 8pi*3*dR/dt
dR/dt=2/3 in/s
dV/dt=4piR^2 dR/dt = 4*pi*9*2/3 = 72pi in^3/s