3. In the theory of random motion of particles the following formula shows up: 2²/sin-¹ (√²) F(t) = for 0≤t≤ b where b is a positive constant and ≈ 3.14 is the ratio of the circumference to the diameter of a circle. Find the derivative dr. Simplify your answer as much as possible. dF dt
3. In the theory of random motion of particles the following formula shows up: 2²/sin-¹ (√²) F(t) = for 0≤t≤ b where b is a positive constant and ≈ 3.14 is the ratio of the circumference to the diameter of a circle. Find the derivative dr. Simplify your answer as much as possible. dF 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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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![1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.
2. Determine
d
dx
Simplify your answer as much as possible.
3. In the theory of random motion of particles the following formula shows up:
(√)
F(t)
(sin-¹(x² - 1)).
=
2
sin
for 0≤ t ≤ b where b is a positive constant and ≈ 3.14 is the ratio of the circumference to
the diameter of a circle. Find the derivative. Simplify your answer as much as possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9afd8645-a1cc-42f3-b2b8-c8f6e459bd1d%2Fdd2c91ba-9379-4edc-8506-523fcc233f99%2Fln1hefk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.
2. Determine
d
dx
Simplify your answer as much as possible.
3. In the theory of random motion of particles the following formula shows up:
(√)
F(t)
(sin-¹(x² - 1)).
=
2
sin
for 0≤ t ≤ b where b is a positive constant and ≈ 3.14 is the ratio of the circumference to
the diameter of a circle. Find the derivative. Simplify your answer as much as possible.
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