Answer:
(3.8, 6.8)
Step-by-step explanation:
Point B:
Has coordinates (x,y)
AB and BC form a 2:3 ratio.
This means that:
We apply this both for the x-coordinate and for the y-coordinate.
x-coordinate:
x-coordinate of A: 3
x-coordinate of C: 5
x-coordinate of B: x
y-coordinate:
y-coordinate of A: 4
y-coordinate of C: 11
y-coordinate of B: y
Thus the correct answer is:
(3.8, 6.8)
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 - +
-
+ ...