7) An elliptic cross section of a highway culvert can be described as the region within the ellipse: 1.00x²+9.00y² = 9.00 where a and y are in meters. Find this Area. Compare with the Formula for the area of an ellipse: A=лab where a = 1 and b = 3. 8) If the electric charge Q is distributed along a straight wire of length 2a, the electric potential V at a distance b from the wire is V = kQ བ་ 1 dx √b² + x² b2 where k is a constant and x is the distance along the wire. Find the Voltage.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
7)
An elliptic cross section of a highway culvert can be described as the
region within the ellipse:
1.00x²+9.00y² = 9.00
where a and y are in meters. Find this Area.
Compare with the Formula for the area of an ellipse: A=лab where a = 1 and
b = 3.
8)
If the electric charge Q is distributed along a straight wire of length 2a,
the electric potential V at a distance b from the wire is
V = kQ
བ་
1
dx
√b² + x²
b2
where k is a constant and x is the distance along the wire. Find the Voltage.
Transcribed Image Text:7) An elliptic cross section of a highway culvert can be described as the region within the ellipse: 1.00x²+9.00y² = 9.00 where a and y are in meters. Find this Area. Compare with the Formula for the area of an ellipse: A=лab where a = 1 and b = 3. 8) If the electric charge Q is distributed along a straight wire of length 2a, the electric potential V at a distance b from the wire is V = kQ བ་ 1 dx √b² + x² b2 where k is a constant and x is the distance along the wire. Find the Voltage.
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