Final answer:
To find the angle between the cubic polynomial y=-x³+6x²-14x+14 and the quadratic polynomial y=-x²+6x-6, we can calculate the slope of each polynomial at their respective maximum or minimum points.
Step-by-step explanation:
To find the angle between the cubic polynomial y=-x³+6x²-14x+14 and the quadratic polynomial y=-x²+6x-6, we can calculate the slope of each polynomial at their respective maximum or minimum points.
For the cubic polynomial, we can find the maximum point by finding the derivative, setting it equal to zero, and solving for x. Then we can calculate the slope of the tangent line at that point.
For the quadratic polynomial, we can find the vertex by using the formula x = -b/(2a), and then calculate the slope of the tangent line at that point.