Answer:
Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>
- red, then blue or blue, then red
<u>Find the probability of each case:</u>
- P(r, b) = 5/9*4/8 = 5/18
- P(b, r) = 4/9*5/8 = 5/18
<u>Probability of exactly one red:</u>
Answer:
First differences means take the ordered pairs in increasing order for their x coordinates (assuming the x's go by ones), then subtract each y (except the last) from the y that comes after it. Keep doing that and you get the first differences. (The second differences would be what you get if you then subtract each of the first differences from the one that came after it (TMI probably but ...)
Say the points were (1,3), (2,7), (3,11) and (4,15). The first differences are
7-3 = 4
11-7 = 4
15 - 11 = 4 all 4. This would also be the slope. So that is the relationship - they are the same.
Answer:
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Step-by-step explanation:
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First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
