Bo, 4.23 is not bigger than 4.3
If you would like to solve (25 * x^2) / (5 * x) + (8 * x^2) / x.
it would be easy calculate this using the following steps:
(25 * x^2) / (5 * x) + (8 * x^2<span>) / x = 5 * x + 8 * x = 13 * x
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<span>The correct answer would be 13 * x.</span>
She paid $5.669. Rounded to the nearest hundredth, $5.67. Rounded to the nearest whole number, $6.
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
