by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴
finding c using initial condition y(2) = 2.
∴
∴ c = 4
∴
multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure
Answer:
x is positive, and y is negative
Step-by-step explanation:
-60° is a fourth-quadrant angle, where x is positive and y is negative.
Answer:
$140
Step-by-step explanation:
1 meal --- $15
8 meals --- $15 × 8 = $120
Total = $120 + $20
= $140
The slope of the line through (1,0) and (3,8) is 4
Answer:
19. 9000
20. 5000
21. 63000
22. 167000
23. 77000
24. 34000
25. 1000
26. 9000
27. 122000
Step-by-step explanation:
To do this, all you need to do is pay attention to the 4th digit and the third. Take 27 for example, 121,619. The fourth digit is 1, and the third digit is 6. because the third digit is 6, the fourth digit gets rounded up to 2. All numbers higher than the fourth digit (fifth, sixth, etc) stay the same and all digits below the fourth digit (first, second, third) become zero. hope this helps!
