Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
ANSWER
<span>will produce a slope field with rows of parallel tangents
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EXPLANATION
A differential equation that is a function of y only does not depend on x, i.e. of the form dy/dx = f(y), where f is a function.
Therefore, the slope field will be independent of the horizontal position. This means that there will be rows where the slopes will be of the same rise/run ratio. When two slopes are the same, they are said to be parallel.
The area of a rectangle is the result of multiplying its length times its width. So the rectangles length and width are factor pairs of the area.
The number 36 has four non-equal, whole number factor pairs: (1,36) ; (2,18) ; (3,13) ; (4,9)
*note : (6,6) makes a square not rectangle
The number 15 has only two whole number factor pairs (1,15) and (3,5)
Answer:
2.82
Step-by-step explanation:
.15 x 18.80 = 2.82