Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:
A
Step-by-step explanation:
m=y2-y1/x2-x1
4-2=2
6-3=3
2/3
hope this helps =3
Answer:
x=5
y=12
Step-by-step explanation:
the equation is
12x-5+125=180
12x+120=180
12x=60
x=5
According to the question
8y+29=125
8y=96
y=12
Answer:
the answer is 14 C
Step-by-step explanation:
just took the test?
Answer:
1 to 3
Step-by-step explanation:
For every goal team A scored, team B scored 3 goals.
So when team A scores 1 goal,
Team B scores 3 goals.
1 goal, 3 goals
1:3, or 1 to 3
