6. Suppose that the number of items sold after t months is modelled by 500t (25t + 2)² a. Find N'(6) and N'(12). b. Find N"(6), N"(12). c. What do the answers in a. and b. tell you about N(t)? N(t): =
6. Suppose that the number of items sold after t months is modelled by 500t (25t + 2)² a. Find N'(6) and N'(12). b. Find N"(6), N"(12). c. What do the answers in a. and b. tell you about N(t)? N(t): =
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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![6.
7.
8.
Suppose that the number of items sold after t months is
modelled by
500t
(25t + 2)²
a. Find N'(6) and N'(12).
b. Find N"(6), N"(12).
c. What do the answers in a. and b. tell you about N (t)?
N(t) =
Let f(x) = x+₁ and g(x) = √x. Let g(x) = √x and let
x-1
h(x) = fo g.
a. Find h'(x)
b. Find h'(4)
A company determines the cost, in thousands of dollars for
producing x items is given by C(x) = √500x²-x + 75.
Suppose that it plans to boost production in t months from
now according to the function x(t) = 30t + 7. Use implicit
differentiation to find how fast the cost will be rising 6 months
from now.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c4d7c99-5f48-4c5b-a103-ebdb1d00bc36%2F19ae1cab-7c6e-43f7-9334-c00f4b1fad1e%2Frq88jy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
7.
8.
Suppose that the number of items sold after t months is
modelled by
500t
(25t + 2)²
a. Find N'(6) and N'(12).
b. Find N"(6), N"(12).
c. What do the answers in a. and b. tell you about N (t)?
N(t) =
Let f(x) = x+₁ and g(x) = √x. Let g(x) = √x and let
x-1
h(x) = fo g.
a. Find h'(x)
b. Find h'(4)
A company determines the cost, in thousands of dollars for
producing x items is given by C(x) = √500x²-x + 75.
Suppose that it plans to boost production in t months from
now according to the function x(t) = 30t + 7. Use implicit
differentiation to find how fast the cost will be rising 6 months
from now.
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