Demand The demand function for a product is modeled by p = 10 , 000 ( 1 − 3 3 + e − 0.001 x ) . Find the price p (in dollars) of the product when the quantity demanded is (a) x = 1000 units and (b) x = 1500 units. (c) What is the limit of the price as x increases without bound?
Demand The demand function for a product is modeled by p = 10 , 000 ( 1 − 3 3 + e − 0.001 x ) . Find the price p (in dollars) of the product when the quantity demanded is (a) x = 1000 units and (b) x = 1500 units. (c) What is the limit of the price as x increases without bound?
Solution Summary: The author calculates the price p (in dollars) of the product for the demanded quantity of 1000 units by substituting x=1000 in the demand function.
Demand The demand function for a product is modeled by
p
=
10
,
000
(
1
−
3
3
+
e
−
0.001
x
)
.
Find the price p (in dollars) of the product when the quantity demanded is (a) x = 1000 units and (b) x = 1500 units. (c) What is the limit of the price as x increases without bound?
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 4 Solutions
Bundle: Calculus: An Applied Approach, Brief, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.