Suppose we want to calculate V9.3. Let f(x) = Vx. From here, we can compute f(9) exactly by mental math-but f(9.3), the quantity we want, is harder. Find an equation of the line tangent to y = f(x) at the point (9, f(9)). Show me the method by which you found it. Verify for yourself on a graphing utility that the line you've found is correct, but don't show me the graph.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose we want to calculate v9.3. Let f(x) = Vx. From here, we can compute f(9) exactly by mental math-but f(9.3),
the quantity we want, is harder.
Find an equation of the line tangent to y = f (x) at the point (9, f(9)). Show me the method by which you found it. Verify
for yourself on a graphing utility that the line you've found is correct, but don't show Ime the graph.
Locate a point (9.3, c) on your tangent line. The value of c is your linear approximation for v9.3. Show me your method
and the value of c that results. Also show me a calculator-produced approximation for v9.3 and compare it to your c.
Transcribed Image Text:Suppose we want to calculate v9.3. Let f(x) = Vx. From here, we can compute f(9) exactly by mental math-but f(9.3), the quantity we want, is harder. Find an equation of the line tangent to y = f (x) at the point (9, f(9)). Show me the method by which you found it. Verify for yourself on a graphing utility that the line you've found is correct, but don't show Ime the graph. Locate a point (9.3, c) on your tangent line. The value of c is your linear approximation for v9.3. Show me your method and the value of c that results. Also show me a calculator-produced approximation for v9.3 and compare it to your c.
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