An absolute value property is
$$\lvert a \rvert \geq b \iff a\leq-b \quad \text{ or } \quad a\geq b,$$ for ##b>0##.
Is this true for the case ##a=0##?
I mean if ##a=0, \lvert a \rvert =0## so ##0 \geq b##. But ##b## is supposed to be ##b>0##, so we have a contradiction.
How can this property...
Vector fields confuses me. What are the differences between (##t## could be any variable, not just time):
1. If the position vector don't have an argument, ##\mathbf{r}=x\mathbf{\hat e}_x+y\mathbf{\hat e}_y+z\mathbf{\hat e}_z=(x,y,z)## so
##\mathbf{E}(\mathbf{r},t)=E_x(\mathbf{r},t)\mathbf{\hat...
Thanks,
I have never seen this methods. The textbook & teacher only use pi(f(x))² and Washer method. Should it not be possiable with disc/washer?
With [0,1] I got:
Vy = 4\pi ((1-\frac{1}{4*1}-ln1) - (\frac{0}{0}-\frac{1}{4*0}-ln\frac{0}{0})) = 4\pi (1-\frac{1}{4}) = 4\pi (3/4)
Isn't the...
Homework Statement
Hello!
English is not my native language so I hope the terminology is right.
Q:
Find the volume generated by the curve y=1/x+2, positive x- and y-axis and the line x=1.
Calculate the volume obtained by rotation around the:
a) x-axis
b) y-axis
Homework...