If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
Answer:
B. The amount owed is greater than the car's worth
Step-by-step explanation:
APEX
49498683837. To work these questions out, use column addition, it is a quick and simple way to add large numbers.
Okay, first off negative is well negative and since there is no other negatives, -5/7 is least (making it go first). Second, what is smaller 3/5 or 2/9, remember that the bigger the denominator the smaller the piece.
[/] [/] [/] [] [] = 3/5
[/] [/] [] [] [] [] [] [] [] 2/9
At the end it should be -5/7, 2/9 , 3/5. This method can go the same for problems like these...Hope it helps!
