(a)
To calculate: To confirm that the point
(a)
Answer to Problem 47E
The point lies on the curve.
Explanation of Solution
Given Information: The equation of the curve is
Calculation:
Substitute the point
Thus, the values on both the sides are same. Therefore, the point lies on the curve.
The point lies on the curve.
(b)
To calculate: To find the slope of the line tangent to the curve at the point
(b)
Answer to Problem 47E
The slope of the line tangent to the curve at the point
Explanation of Solution
Given Information: The equation of the curve is
Calculation:
The slope of the line tangent to the curve is,
Substitute the point
Hence, the slope of the line tangent to the curve at the point
The slope of the line tangent to the curve at the point
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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