<span> C(12,0)C(10,4)+C(12,1)C(10,3)+C(12,2)C(10,2) =
(1)(210)+(12)(120)+(66)(45) = 210+1440+2904 = 4554
Answeer: 4554 ways</span>
Answer:
Cos x = 1 - + - + ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + + + + ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - + - + ...
Answer:
407,600,105,028
Step-by-step explanation:
<span>(-2, y1), (6, 7) Slope = 1/2
slope = (y2-y1)/(x2-x1)
1/2 = (7 - y1) / (6 - -2)
1/2 = (7-y1) / 8
7-y1 = 8/2
7-y1 = 4
y1 = 7 - 4
y1 = 3
Answer: </span><span>(-2, 3), (6, 7) with Slope = 1/2
</span>proof:
slope = (y2-y1)/(x2-x1)
slope = (7 - 3) / (6 - -2)
slope = 4/8
slope = 1/2
The first one is 36 and the second one is -4/7 I believe