33. T Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 +0.05, f(π/2 +0.05)), C(π/2+0.5, f(π/2+0.5)) and D(π, f(n)) (see figure), find the slopes of the secant lines through A and D, A and C, and A and B. Use your calculations to make a conjecture about the slope of the line tangent to the graph of fat x = π/2. y 2 L +0.5 0 +0.05 y = 1- cos x X
33. T Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 +0.05, f(π/2 +0.05)), C(π/2+0.5, f(π/2+0.5)) and D(π, f(n)) (see figure), find the slopes of the secant lines through A and D, A and C, and A and B. Use your calculations to make a conjecture about the slope of the line tangent to the graph of fat x = π/2. y 2 L +0.5 0 +0.05 y = 1- cos x X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:33. T Slope of tangent line Given the function f(x) = 1 − cos x and the points
A(π/2, ƒ(π/2)), B(π/2 +0.05, ƒ(π/2 +0.05)), C(π/2 +0.5, ƒ(π/2 + 0.5)) and D(π, ƒ(π)) (see figure),
find the slopes of the secant lines through A and D, A and C, and A and B. Use your calculations to make a
conjecture about the slope of the line tangent to the graph of fat x = π/2.
f
+0.5
+0.05
2-
FEIN
ㅠ
y = 1- cos x
X
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