Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:
for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:
This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
30/2 = 15
15 x 5 = 75
The number is 75.
There are 52 weeks in one year. If we divide 159 by 52 we get 3.05. Therefore, there would be an average of 3-4 murders per week.
Answer:
Length = 2x + 5
Width = x + 3
Step-by-step explanation:
Area of rectangle = length × width
Expression for area of the rectangle = 2x² + 11x + 15
Factorising the quadratic expression
2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)
Length = 2x + 5
Width = x + 3
The correct answer is option (c) <span>P(not a hit) = 0.636
</span>The batting average of the baseball player =
= 0.364
Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as = 1 - P
Therefore, <span>the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636</span>
