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The conjugate of the complex number a + bi is the complex number a - bi . In other terms, it is the original complex number along the sign on the imaginary part changed. Here are some instance of complex numbers and their conjugates.
complex number conjugate
3+ (½) i 3 - (½) i
12 - 5i 12+ 5i
1 - i 1+i
45i 45i
101 101
Note that the conjugate of a real number is only itself with no changes.
The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i. the height of the
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if ab=25 . a(5,x)and b(2,5) . find x.
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Solve the subsequent proportion: Example: Solve the subsequent proportion for x. Solution: 5:x = 4:15 The product of the extremes is (5)(15) = 75. The produ
what are integars
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(4 sqrt3+5 sqrt2)/(sqrt48+ srt18)
evaluate limit as x approaches 0 (x squared times sin (1/x)
matrix
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