ind [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) = j + tk (a) Ir(t) · u(t . u(1)] (i) Find the product first, then differentiate. 2t + cos t (ii) Apply the properties of the derivative. cos t+ 2t (b) Ir(e) x u(t)] (i) Find the product first, then differentiate. (ii) Apply the properties of the derivative.
ind [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) = j + tk (a) Ir(t) · u(t . u(1)] (i) Find the product first, then differentiate. 2t + cos t (ii) Apply the properties of the derivative. cos t+ 2t (b) Ir(e) x u(t)] (i) Find the product first, then differentiate. (ii) Apply the properties of the derivative.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Find
dt
tr(t) · u(t)] and Ir(t) x u(t)] in two different ways.
dt
r(t) = cos ti + sin tj + tk, u(t) = j + tk
Ir(t) · u(t)]
dt
(a)
(i) Find the product first, then differentiate.
2t + cos t
(ii) Apply the properties of the derivative.
cos t + 2t
[r(t) x u(t)]
dt
(b)
(i) Find the product first, then differentiate.
(ii) Apply the properties of the derivative.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f299279-91b3-497f-8fd4-6214bbdf33f7%2F44341b02-d26b-4a38-9dd4-2fbceb137dc2%2Fklb4wqx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find
dt
tr(t) · u(t)] and Ir(t) x u(t)] in two different ways.
dt
r(t) = cos ti + sin tj + tk, u(t) = j + tk
Ir(t) · u(t)]
dt
(a)
(i) Find the product first, then differentiate.
2t + cos t
(ii) Apply the properties of the derivative.
cos t + 2t
[r(t) x u(t)]
dt
(b)
(i) Find the product first, then differentiate.
(ii) Apply the properties of the derivative.
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