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1. Find R(t) which is supposed to be a differentiable vector fund t > −1 with R′(t) = (1+' 1+²,1 + t²) and R(0) = (1,1, — -1 Give vector equation of the line tangent to the curve defined b (1,1,-1). •Evaluate (Rof)'(0) if ƒ(t) = 2eπt.

1. Find R(t) which is supposed to be a differentiable vector fund t > −1 with R′(t) = (1+' 1+²,1 + t²) and R(0) = (1,1, — -1 Give vector equation of the line tangent to the curve defined b (1,1,-1). •Evaluate (Rof)'(0) if ƒ(t) = 2eπt.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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1. Find R(t) which is supposed to be a differentiable vector function for 1 t> −1 with R'(t) = ₁' ₁²,1 + t²) and R(0) = (1,1, –1). -1 1+t' Give vector equation of the line tangent to the curve defined by R(t) at (1,1,-1). Evaluate (Rof) '(0) if ƒ(t) = 2eπt¸
Transcribed Image Text:1. Find R(t) which is supposed to be a differentiable vector function for 1 t> −1 with R'(t) = ₁' ₁²,1 + t²) and R(0) = (1,1, –1). -1 1+t' Give vector equation of the line tangent to the curve defined by R(t) at (1,1,-1). Evaluate (Rof) '(0) if ƒ(t) = 2eπt¸
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