Answer:
sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...
Step-by-step explanation:
given that f(x) = sin x
we have to find the Taylor series for that

and so on.
i.e. 2nd, 4th, 6th terms would be 0
and also 1st, 5th, 9th terms would be positive for f value and 3rd, 9th,... would be negative
Using the above we can write Taylor series as


This is valid for all real values of x.
x ∈
Answer:
Charges of Turkey is $6.25
Charges of French Fries is $1.90
Step-by-step explanation:
Given
Represent Turkeys with T and French Fries with F;


Required
Determine the values of T and F

Divide through by 5

Make F the subject

Substitute 8.15 - T for F in the first equation



Collect Like Terms


Solve for T


Recall that:



Answer:
MK = 14
Step-by-step explanation:
MK = ML + LK , substitute values
4x - 2 = 8 + x + 2
4x - 2 = x + 10 ( subtract x from both sides )
3x - 2 = 10 ( add 2 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Thus
MK = 4x - 2 = 4(4) - 2 = 16 - 2 = 14
Answer:
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
Step-by-step explanation: