Q1.1 1-17/18 1. Verify that[F(1) · G(1)] =dFdtdt·G(t) + F(t).dGdtfor the following functions F(t) = (2t)i −5j+(t²)k and G(t) = (sint)i + (e')j.

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Answered: 1. Verify that dF dt F.G(t) + F(t).. dG…

1. Verify that dF dt F.G(t) + F(t).. dG dt for the following functions F(t) = (2t)i−5j+(t²)k and G(t) = (sint)i + (e')j. d[F(t)- G(t)] = dt

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 36E

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Question

Q1.1

1-17/18

1. Verify that
[F(1) · G(1)] =
dF
dt
dt
·G(t) + F(t).dG
dt
for the following functions F(t) = (2t)i −5j+(t²)k and G(t) = (sint)i + (e')j.

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