The length (in mm) of a larval insect specimen depends on the temperature (in Celsius) at which it was reared, according to the function L(T)=1+T^2. The temperature in a growth chamber with a faulty heat lamp slowly increases as a function of time since hatching (in hours), according to the function T(t)=15+0.1t. 1. Define ℓ(t)=L(T(t)), the composition that describes how length depends directly on time.ℓ(t)=  2. How long is a larvae that has been in the rearing chamber for t=100 hours?ℓ(100)=

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Asked Jan 21, 2020
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The length (in mm) of a larval insect specimen depends on the temperature (in Celsius) at which it was reared, according to the function L(T)=1+T^2. The temperature in a growth chamber with a faulty heat lamp slowly increases as a function of time since hatching (in hours), according to the function T(t)=15+0.1t.

 

1. Define ℓ(t)=L(T(t)), the composition that describes how length depends directly on time.

ℓ(t)=
 
 

2. How long is a larvae that has been in the rearing chamber for t=100 hours?

ℓ(100)=
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Step 1

Given:

Calculus homework question answer, step 1, image 1
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Step 2

1.

Now,

Calculus homework question answer, step 2, image 1
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Step 3

Therefore,

The composition that describes le...

Calculus homework question answer, step 3, image 1
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Math

Calculus

Functions