Answer:
49,400,000
Step-by-step explanation:
(2.6*10^5)(1.9*10^2)
Apply exponent rule
=2.6*1.9*10^5+2
Add the numbers: 5+2=7
=2.6*1.9*10^7
Multiply the numbers: 2.6*1.9= 4.94
10^7*4.94
10^7=10,000,000
=10,000,000*4.94
Multiply the numbers: 4.94*10000000=49,400,000
=49,400,000
Thanks for letting me help!!
-9/8m+3/10. There is a nice algebra calculator that i use called mathpapa.com
Heres the link.
<u> 4p² + 12pr + 9r²</u>
That expression is the square of (2p + 3r) .
So I guess the factored form is (2p + 3r)² .
The given complex number is
z = 1 + cos(2θ) + i sin(2θ), for -1/2π < θ < 1/2π
Part (i)
Let V = the modulus of z.
Then
V² = [1 + cos(2θ)]² + sin²(2θ)
= 1 + 2 cos(2θ) + cos²2θ + sin²2θ
Because sin²x + cos²x = 1, therefore
V² = 2(1 + cos2θ)
Because cos(2x) = 2 cos²x - 1, therefore
V² = 2(1 + 2cos²θ - 1) = 4 cos²θ
Because -1/2π < θ < 1/2π,
V = 2 cosθ PROVEN
Part ii.
1/z = 1/[1 + cos2θ + i sin 2θ]
The denominator is
Therefore
The real part of 1/ = 1/ (constant).