<u>Hope this helped!</u>
<u>First Row</u>
6
5
(this one is already done)
<u>Second Row</u>
4
5
6
11
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
Answer:
$4
Step-by-step explanation:
Each of the three friends orders a combo. If each drink is $2.50 and there are three drinks, that means the total cost of the pizza is $24. There are three combos, each with two slices of pizza, meaning there are six slices of pizza total. Then you divide 24 (the total cost of the pizza) by 6 (the total amount of slices), getting $4 per slice.
The answer is 25%.
60/240=x/100
60*100=6000
6000/240=25
60/240=25/100
Answer:
Original number is 47
Step-by-step explanation:
Given: The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121.
To find: the original number
Solution:
Let x denotes digit at ones place.
As the tens digit is three less than the units digit,
Digit at tens place = 
Original number = 
When digits are reversed,
Reversed number = 
As the sum of the reversed number and the original number is 121,
So,
original number = 
