Use chain rule
and also power rule
so
well, we will say
and 
so
simplify yourself
and also power rule
so
well, we will say
so
simplify yourself
EN LOS PUEBLOS DE AYLLÓN, RIAZA Y CANTALEJO DE 1200, 2100 Y 3500 HABITANTES, RESPECTIVAMENTE, SE HA SOLICITADO LA PARTICIPACIÓN
1 answer:
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The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
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