Matched Problem 4 Evaluate ∬ R ( y − 4 x ) d A , where R is the region in Example 4. Example 4 Evaluating a Double Integral Evaluate ∬ R ( 2 x + y ) d A , where R is the region bounded by the graphs of y = x , x + y = 2, and y = 0.
Matched Problem 4 Evaluate ∬ R ( y − 4 x ) d A , where R is the region in Example 4. Example 4 Evaluating a Double Integral Evaluate ∬ R ( 2 x + y ) d A , where R is the region bounded by the graphs of y = x , x + y = 2, and y = 0.
Solution Summary: The author evaluates the value of the iterated integral -7720.
Matched Problem 4 Evaluate
∬
R
(
y
−
4
x
)
d
A
, where R is the region in Example 4.
Example 4 Evaluating a Double Integral Evaluate
∬
R
(
2
x
+
y
)
d
A
, where R is the region bounded by the graphs of
y
=
x
, x + y = 2, and y = 0.
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.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
The only problems I need help with ae the last 8 ones, Thanks
Price (S)
The graph below depicts a firm with market power. In the graph, MC represents the firm's marginal costs, ATC represents the average total costs, D represents demand, and MR represents marginal revenue.
110
70
60
50
40
30
20
MC
ATC
D
0
40
50
70
80
95
Quantity/Units
MR
a. At 60 units of output, how much would this profit-maximizing monopolist charge?
b. How many units would it produce to maximize total revenue rather than total profit?
c. What is the maximum quantity this firm can produce without incurring economic losses?
d. Calculate the firm's profit at the profit-maximizing output and price.
e. Why is this firm's marginal revenue curve below its demand curve? Explain.
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