To calculate: The equation that represent the cross section of base of clock,
Answer to Problem 50E
The equation that represent the cross section of base of clock is
Explanation of Solution
Given information:
The cross section of base of clock is provided below,
Formula used:
The equation of horizontal hyperbola is
Calculation:
Consider cross section of base of a clock that is provided below,
Observe that it is in shape of hyperbola whose transverse axis is horizontal.
Recall that the equation of horizontal hyperbola is
Here center is origin so
Also, the hyperbola passes through the point
Substitute x as 2, y as 9, a as 1, h as 0 and k as 0 in the equation
Now, substitute
Thus, the equation that represent the curved sides of the sculpture is
To calculate: The width of the base 4 inches from the bottom of the clock,
Answer to Problem 50E
The width of the base 4 inches from the bottom of the clock is
Explanation of Solution
Given information:
The cross section of a sculpture is provided below,
Formula used:
The equation of horizontal hyperbola is
Calculation:
Consider cross section of base of a clock that is provided below,
Observe that it is in shape of hyperbola whose transverse axis is horizontal.
Recall that the equation of horizontal hyperbola is
Here center is origin so
Also, the hyperbola passes through the point
Substitute x as 2, y as 9, a as 1, h as 0 and k as 0 in the equation
Now, substitute
Therefore, the equation that represent the curved sides of the sculpture is
Now, it is provided that each unit in coordinate plane represents
Now 4 inches from the bottom is equivalent to
Substitute
Because each unit in coordinate plane represents
Thus, the width of the base 4 inches from the bottom of the clock is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning