The approximate rate of change in the number of design patent applications received in recent years is given by the equation below, where t represents the number of years since 2000 and p represents the number of design patents (in thousands). In 2017, the number of applications for a design patent was 43,340. p'(t) = 0.01021t+2.03 Complete parts (a) and (b) below. (a) Find the function that gives the total number (in thousands) of design patent applications received in year t. (t) = Type an exact answer.)

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
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The approximate rate of change in the number of design patent applications received in recent years is given by the
equation below, where t represents the number of years since 2000 and p represents the number of design
patents (in thousands). In 2017, the number of applications for a design patent was 43,340.
p'(t) = 0.01021t+2.03
Complete parts (a) and (b) below.
(a) Find the function that gives the total number (in thousands) of design patent applications received in year t.
p(t) =
(Type an exact answer.)
Transcribed Image Text:The approximate rate of change in the number of design patent applications received in recent years is given by the equation below, where t represents the number of years since 2000 and p represents the number of design patents (in thousands). In 2017, the number of applications for a design patent was 43,340. p'(t) = 0.01021t+2.03 Complete parts (a) and (b) below. (a) Find the function that gives the total number (in thousands) of design patent applications received in year t. p(t) = (Type an exact answer.)
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