A Problems 9 – 14 refer to Figures A – D. Set up definite integrals Problems 9 – 12 that represent the indicated shaded area. 14 . Explain why ∫ a b [ − h ( x ) ] d x represents the area between the graph of y = h ( x ) and the x axis from x = a to x = b in Figure C.
A Problems 9 – 14 refer to Figures A – D. Set up definite integrals Problems 9 – 12 that represent the indicated shaded area. 14 . Explain why ∫ a b [ − h ( x ) ] d x represents the area between the graph of y = h ( x ) and the x axis from x = a to x = b in Figure C.
Solution Summary: The author explains the function h(x), which is bounded by f and g's graph, and the area of the shaded region can be computed by the definite
AProblems 9–14 refer to Figures A–D. Set up definite integrals Problems 9–12 that represent the indicated shaded area.
14. Explain why
∫
a
b
[
−
h
(
x
)
]
d
x
represents the area between the graph of y = h(x) and the x axis from x = a to x = b in Figure C.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?
Solve by DrWz
WI
P
L
B
dy
Sind Ⓡ de max
⑦Ymax
dx
Solve by Dr
③Yat 0.75m from A
w=6KN/M L=2
W2=9 kN/m
P= 10 KN
Solve By Dr
A clothing manufacturer's profitability
can be modeled by p (x)=-x4 + 40x² - 144, where .x
is the number of items sold in thousands and p (x) is
the company's profit in thousands of dollars.
a. Sketch the function on your calculator and describe the end behavior.
b. Determine the zeros of the function.
c. Between what two values should the company sell
in order to be profitable?
d. Explain why only two of the zeros are considered
in part c.
Chapter 6 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
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