(a)
To determine: The equation for the tangent to the curve at the pint corresponding to the given value of t .
(a)
Answer to Problem 10RE
The required equation is
Explanation of Solution
Given information:
The equations:
The value of t = 2
Formula used:
Formulas of derivatives:
Calculation:
The given equations are
And,
Substitute 2 for t in equation (1) and simplify.
Substitute 2 for t in equation (2) and simplify.
Thus, the point through which the tangent passes is
Find derivative of equation (1) and equation (2) with respect to t .
And,
Now,
Substitute 2 for t in the above derivative.
So, the slope of the tangent is
To find the equation of the tangent line, use the formula for the point-slope form of the equation of a line
Substitute
Hence, the required equation is
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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