Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Related questions
Question
37
![At what point do the curves r(t) = (t, 1-t, 3+12) and
intersection correct to the nearest degree.
r₂(s) = (3-s, s2, s²) intersect? Find their angle of
40 Evaluate the integral.
AT-
35. ² (ti − t³j + 3t³ k) dt
36.
37. J
38.
4
40.
(21³/² i + (t + 1) √t k) dt
1
£ ( ₁
1
FA
1
t
-i+
+ 1 q² īj
= +₁³ + ² + 1 k) d
dt
TT/4
(sec t tan ti + t cos 2t j + sin² 2t cos 2tk) dt
39. § (sec²t i + t(t² + 1)³ j + t² ln t k) dt
1
—_-77 k) d²
dt
t
te i
j
√ ( 1 ²³ 1 + — —_-₁³ + √/\
1 t
/1 t²
41. Find r(t) if r'(t) = 2ti + 3t²j + √rk and r(1) = i + j.
42. Find r(t) if r'(t) = ti + e'j + te'k and r(0) =i+j+k.
43. Prove Formula 1 of Theorem 3.
44. Prove Formula 3 of Theorem 3.
45. Prove Formula 5 of Theorem 3.
3.
t), use
48.
49
50
5
5
5
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F962b9010-dc85-4404-92bb-863cbb6da4e7%2Fdbf1f5ea-251f-45c5-bf4a-3f1615340781%2Feexijvi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:At what point do the curves r(t) = (t, 1-t, 3+12) and
intersection correct to the nearest degree.
r₂(s) = (3-s, s2, s²) intersect? Find their angle of
40 Evaluate the integral.
AT-
35. ² (ti − t³j + 3t³ k) dt
36.
37. J
38.
4
40.
(21³/² i + (t + 1) √t k) dt
1
£ ( ₁
1
FA
1
t
-i+
+ 1 q² īj
= +₁³ + ² + 1 k) d
dt
TT/4
(sec t tan ti + t cos 2t j + sin² 2t cos 2tk) dt
39. § (sec²t i + t(t² + 1)³ j + t² ln t k) dt
1
—_-77 k) d²
dt
t
te i
j
√ ( 1 ²³ 1 + — —_-₁³ + √/\
1 t
/1 t²
41. Find r(t) if r'(t) = 2ti + 3t²j + √rk and r(1) = i + j.
42. Find r(t) if r'(t) = ti + e'j + te'k and r(0) =i+j+k.
43. Prove Formula 1 of Theorem 3.
44. Prove Formula 3 of Theorem 3.
45. Prove Formula 5 of Theorem 3.
3.
t), use
48.
49
50
5
5
5
5
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