< > d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt the product directly and then by applying the formulas d dr2 dr₁ . ¿[r₁(t) · r2(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dri -[r₁(t) × r₂(t)] = r₁(t) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [r₁(t) × r₂(t)] = Question 4 of 8 dt .
< > d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt the product directly and then by applying the formulas d dr2 dr₁ . ¿[r₁(t) · r2(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dri -[r₁(t) × r₂(t)] = r₁(t) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [r₁(t) × r₂(t)] = Question 4 of 8 dt .
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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![Question 4 of 8
<
>
d
Calculate
[ri(t) · r₂(t)] and
r
.
[r₁(t) × r₂(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr2 dr₁
¿[r₁(t) · r2(t)] = r₁(t) ·
+
.
r₂(t) and
dt
dt
dt
dr₂
dr₁
-[r₁(t) × r₂(t)] = r₁(t) ×
ri(t)
+ x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j + 4tk,
r₂(t) = 3i + tk
-[r₁(t) · r2(t)] :
= [
[r₁(t) × r₂(t)] =
dt
.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F709e76bf-d6c1-4c95-bc68-5ab4e5b2b882%2F930d9342-ebf8-466a-96ea-e2f82eb6f798%2F1o0os2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4 of 8
<
>
d
Calculate
[ri(t) · r₂(t)] and
r
.
[r₁(t) × r₂(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr2 dr₁
¿[r₁(t) · r2(t)] = r₁(t) ·
+
.
r₂(t) and
dt
dt
dt
dr₂
dr₁
-[r₁(t) × r₂(t)] = r₁(t) ×
ri(t)
+ x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j + 4tk,
r₂(t) = 3i + tk
-[r₁(t) · r2(t)] :
= [
[r₁(t) × r₂(t)] =
dt
.
Transcribed Image Text:Find the domain of r(t) and the value of r(to).
NOTE: Round your answer to two decimal places when needed.
r(t) = cos(πt)i - ln(t)j + √t − 8k; to = 9
Domain is: Choose one
NOTE: Enter your answer in terms of i, j, and k.
r(9)
=
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