Answer:
<u>X</u> <u>Y</u> <u>(</u><u>X,</u><u>Y)</u>
-4 14. (-4,14)
-3 12. (-3,12)
-2 10. (-2,10)
-1 8. (-1,8)
0 6 (0,6)
1 4. (1,4)
2 2. (2,2)
Let Natalie be x, and Fred, y.
So based on 1st condition, we get
x + y =43 - Equation 1
â´ x = 43-y - Equation 2
Now based on 2nd condition, we get
44x+y=88
Using x from Equation 2, we get
44(43-y) + y = 88
â´ 44x43 - 44y + y = 88
â´ 1892 -44y + y = 88
â´ -44y + y = 88 - 1892
â´ 43y =1804
â´ y = 1804/43
â´ y = 41.95
Using the value of y in Equation 2
x = 43 - 41.95
â´ x = 1.05
So Natalie is 1.05 yrs and Fred is 41.95 yrs old.
Answer:
.
Step-by-step explanation:
To find
.
First, calculate the corresponding indefinite integral:
Integrate term by term:

Apply the constant rule 

Apply the constant multiple rule 

Apply the power rule 

Therefore,

According to the Fundamental Theorem of Calculus,
, so just evaluate the integral at the endpoints, and that's the answer.


