Evaluating a function In Exercises 11 and 12 evaluate the
a) r(0)
b)
c)
d)
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Calculus: Early Transcendental Functions
- Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = F(t) + G(t), where F(t) = cos ti - sin tj + 4√tk, G(t) = 5 cos ti + sin tj Need Help? Watch It eBookarrow_forwardFind the domain of the vector function. (Enter your answer in interval notation.) t 2 r(t) = i + sin(t)j + In(25 - t²) k t + 2arrow_forwardFind the domain of the vector-valued function 1 - 1² 3 + sin t² k... R. (t) = tan ¹ ti+arrow_forward
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- Derivative of vector functions Compute the derivative of the followingfunctions.a. r(t) = ⟨t3, 3t2, t3/6⟩ b. r(t) = e-t i + 10√t j + 2 cos 3t karrow_forwardDetermine the interval(s) on which the vector-valued function is continuous. (Enter your answer using interval notation.) 1 -i + 6t + 1 1 r(t) =arrow_forwardRepresent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(−7, −5, −1), Q(−1, −9, −6) (a) r(t) = (b) Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage