<span>5 1/6 x 1/3
</span>first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18
=> then divide them to get answer as mixed fraction ..
=> 1 13/18 ..
<span>3 1/2 / 1 1/3
</span>=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8
=> answer as mixed fraction = 2 5/8 ...
Hope it helps !!!
Answer:
<h2>A. equal to 96%</h2>
Step-by-step explanation:
It's 0 because the 1 plus 0 equals 0 ur welcome
Answer:
= 12π
Step-by-step explanation:
The field F is given by:
(1)
The curve C is the ellipse:
In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.
The general form of an ellipse equation is:
The parametric equation is:
(2)
The Stokes's theorem is given by the following identity:
The path integral is also:
(3)
For F(r(t)) and dr(t) you obtain:
Next, in the equation (3) you obtain:
![\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi](https://tex.z-dn.net/?f=%5Cint_0%5E%7B2%5Cpi%7D%20%28-48sin%5E2t%2B64cos%5E2t%29dt%3D%5Cint_0%5E%7B2%5Cpi%7D%28-%5Cfrac%7B48%7D%7B2%7D%281-cos2t%29%2B%5Cfrac%7B64%7D%7B2%7D%281%2Bcos2t%29%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%28-24%2B24cos2t%2B32%2B32cos2t%29dt%5C%5C%5C%5C%3D%5Cint_0%5E%7B2%5Cpi%7D%286%2B56cos2t%29dt%5C%5C%5C%5C%3D%5B6t%2B56sin2t%5D_0%5E%7B2%5Cpi%7D%3D%5B6%282%5Cpi%29-0%5D%3D12%5Cpi)
The circulation of the field around C is 12π
Answer:
The answer is A. 7
Step-by-step explanation:
