In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give the ink its color. Suppose that during its manufacture, a process moves a solvent into a vat containing pigments, not at a constant rate, but rather at a rate modeled by the function 10t R(t) V5t² + 4 liters per minute, where t is the number of minutes since the start of the process. How many liters of solvent flow into the vat in the first 15 minutes of the process? Round your answer to two decimal places. liters

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give the ink its
color. Suppose that during its manufacture, a process moves a solvent into a vat containing pigments, not at a
constant rate, but rather at a rate modeled by the function
10t
R(t)
%3D
5t2 + 4
liters per minute, where t is the number of minutes since the start of the process. How many liters of solvent
flow into the vat in the first 15 minutes of the process? Round your answer to two decimal places.
liters
Transcribed Image Text:In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give the ink its color. Suppose that during its manufacture, a process moves a solvent into a vat containing pigments, not at a constant rate, but rather at a rate modeled by the function 10t R(t) %3D 5t2 + 4 liters per minute, where t is the number of minutes since the start of the process. How many liters of solvent flow into the vat in the first 15 minutes of the process? Round your answer to two decimal places. liters
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