2. (a) (b) The weight of a radioactive substance remaining after t years is given by -0.04t W=1000x2 grams. 1 Show that t= - log₂ ( 0.04 W 1000 Hence or otherwise, find the time required for the weight to reach (II) 0.001 grams. (I) 20 grams

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 4E
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2.
(a)
(b)
The weight of a radioactive substance remaining after t years is given by
-0.04t
W=1000x2
grams.
1
W
Show that t=- log₂
0.04
1000
Hence or otherwise, find the time required for the weight to reach
20 grams
0.001 grams.
(I)
(II)
Transcribed Image Text:2. (a) (b) The weight of a radioactive substance remaining after t years is given by -0.04t W=1000x2 grams. 1 W Show that t=- log₂ 0.04 1000 Hence or otherwise, find the time required for the weight to reach 20 grams 0.001 grams. (I) (II)
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