the Cross Country Coach Les Sherman set the length of the football field is 120 yards. All the students must run five laps. Usin
1 answer:
You might be interested in
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:
William has a total of 66 chairs.
Step-by-step explanation:
Let the number of chairs in each row be 'x'.
Also let the Total number of chairs be 'y'.
Given:
If he arranges the chairs in seven rows of the same length he has three chairs left
Number of rows = 7
Number of chairs left = 3
Now we can say that;
Total number of chairs will be equal to number of chairs in each row multiplied by Number of rows plus Number of chairs left.
framing in equation form we get;
Also Given:
If he arranges the chairs in five rows of the same length he has 21 chairs left
Number of rows = 5
Number of chairs left = 21
Now we can say that;
Total number of chairs will be equal to number of chairs in each row multiplied by Number of rows plus Number of chairs left.
framing in equation form we get;
Now we know that Total number of chairs are same.
Hence we can say that both the equations are equal.
Combining like terms we get;
Dividing both side by 2 we get;
So we can that there are 9 chairs in each row.
Now to find the total number of chairs he has we will substitute value of x in any of the equation we get;
Hence William has a total of 66 chairs.