Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of S ′ ( t ) = − 24 t 1 / 3 SUVs per month, where t is time in months and S ( t ) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now ( t = 0) are 1,200 SUVs, find S ( t ). How long will the company continue to manufacture this model?
Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of S ′ ( t ) = − 24 t 1 / 3 SUVs per month, where t is time in months and S ( t ) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now ( t = 0) are 1,200 SUVs, find S ( t ). How long will the company continue to manufacture this model?
Solution Summary: The author explains how the function S(t) can be used to find the time taken by the company to manufacture the model.
Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of
S
′
(
t
)
=
−
24
t
1
/
3
SUVs per month, where t is time in months and S(t) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now (t = 0) are 1,200 SUVs, find S(t). How long will the company continue to manufacture this model?
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
1
3
2
is perpendicular to
-6
3
2
23. If v1
=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
7. Find the eigenvalues of the matrix
(69)
8. Determine whether the vector
(£)
23
is in the span of the vectors
-0-0
and
2
2
1. Solve for x:
2. Simplify:
2x+5=15.
(x+3)² − (x − 2)².
-
b
3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²).
4. Solve for x in 3x² - 12 = 0.
-
Chapter 5 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY