Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0). ∫ − 7 7 49 − x 2 d x
Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0). ∫ − 7 7 49 − x 2 d x
Solution Summary: The author explains how to calculate the value of the provided integral using geometric formula and graph it.
Evaluating a Definite Integral Using a Geometric Formula In Exercises 27-36, sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0).
∫
−
7
7
49
−
x
2
d
x
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.
Two cables tied together at C are loaded as shown. Given: Q = 130 lb.
8
30°
C
B
Q
3
4
Draw the free-body diagram needed to determine the range of values of P for which both cables remain taut.
Cable AB is 103 ft long and the tension in the cable is 3900 lb.
56 ft
A
50°
20°
B
x
C
Identify the angles 0.0, and 8, that define the direction of force.
1
By
N
2
Match each of the options above to the items below.
142.1°
57.1°
73.3°
3
8.
In the given figure, P = 51 lb .
65°
C
25°
35°
75 lb
P
Determine the corresponding magnitude of the resultant.
The corresponding magnitude of the resultant is|
lb.
Chapter 5 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
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