Sasha runs at a constant speed of 3.5 meters per second for hour. Then, she walks at a rate o 2 1 1.6 meters per second for hour
1 answer:
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Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
Substitute these values in (i).
Therefore, the correct option is A.
