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1. Exercise. Suppose p : R → R° and q :R → R° are vector-valued functions. Further assume p'(-1) = (1,2, 3) and q'(-1) = (1,1,-2). Let v(t) = p(t) + q(t) be yet another vector-valued function. Then v'(-1) = Exercise. Let f(t) = (1,2,3). Find v(t) so that v(0) = (0,0,0) and v'(t) = f(t). v(t) = Exercise. A curve C is described by the vector-valued function p(t) = (t², 4 – 2t2, t2 + 2). Exercise. Find all t-values where p and p' are orthogonal. List your answers in order from least to greatest: t = t = t =

1. Exercise. Suppose p : R → R° and q :R → R° are vector-valued functions. Further assume p'(-1) = (1,2, 3) and q'(-1) = (1,1,-2). Let v(t) = p(t) + q(t) be yet another vector-valued function. Then v'(-1) = Exercise. Let f(t) = (1,2,3). Find v(t) so that v(0) = (0,0,0) and v'(t) = f(t). v(t) = Exercise. A curve C is described by the vector-valued function p(t) = (t², 4 – 2t2, t2 + 2). Exercise. Find all t-values where p and p' are orthogonal. List your answers in order from least to greatest: t = t = t =

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. Suppose p : R → R° and q :R → R are vector-valued functions. Exercise. Further assume p'(-1) = (1,2, 3) and q'(-1) = (1,1, –2). Let v(t) = p(t) + q(t) be yet another vector-valued function. Then v'(-1) = 2. Exercise. Let f(t) = (1,2,3). Find v(t) so that v(0) (0,0, 0) and v'(t) = f(t). v(t) = 3. Exercise. A curve C is described by the vector-valued function p(t) = (t², 4 – 2t?, t² + 2). Exercise. Find all t-values here p p' are orthogonal. your answers in order from least greatest: t = t = t =
Transcribed Image Text:1. Suppose p : R → R° and q :R → R are vector-valued functions. Exercise. Further assume p'(-1) = (1,2, 3) and q'(-1) = (1,1, –2). Let v(t) = p(t) + q(t) be yet another vector-valued function. Then v'(-1) = 2. Exercise. Let f(t) = (1,2,3). Find v(t) so that v(0) (0,0, 0) and v'(t) = f(t). v(t) = 3. Exercise. A curve C is described by the vector-valued function p(t) = (t², 4 – 2t?, t² + 2). Exercise. Find all t-values here p p' are orthogonal. your answers in order from least greatest: t = t = t =
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