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Solved: Slopes and Tangentsa. Find an equation for the
Chapter 3, Problem 65E(choose chapter or problem)
Problem 65E
Slopes and Tangents
a. Find an equation for the line that is tangent to the curve at the point(–1,0).
b. Graph the curve and tangent line together. The tangent intersects the curve at another point. Use Zoom and Trace to estimate the point’s coordinates.
c. Confirm your estimates of the coordinates of the second intersection point by solving the equations for the curve and tangent simultaneously (Solver key).
Questions & Answers
QUESTION:
Problem 65E
Slopes and Tangents
a. Find an equation for the line that is tangent to the curve at the point(–1,0).
b. Graph the curve and tangent line together. The tangent intersects the curve at another point. Use Zoom and Trace to estimate the point’s coordinates.
c. Confirm your estimates of the coordinates of the second intersection point by solving the equations for the curve and tangent simultaneously (Solver key).
ANSWER:
Solution:
Step 1 of 4:
In this problem, we need to explain about the tangent and slope of the given curve.