Answer:
k=−1
The point of contact is:
(0,−1)
Explanation:
Compute the first derivative of the curve:
dyd x=2−2x
The slope of the line is 2, therefore, we set the first derivative equal to 2 and then solve for x:
2=2−2x
x=0←
this is the x coordinate of the point of contact.
The y coordinate of the point of contact is found by evaluating the function at x = 0:
y=−1+2
(0)
−02
y=−1←
this is the y coordinate of the point of contact.
The point of contact is:
(0,−1)
Find the value of k by evaluating the line at the point of contact:
−1=2
(0+k
k=−1
Step-by-step explanation:
