What colour and shape does this produce? (sqrt(cos(x))*cos(200x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(9-x^2), -sqrt(9-x^2) from -4.5 to 4.5
Answers
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The diagram for the expression is attached below.
Absolute expression: An absolute expression is one whose value doesn't change even when a program is moved. An absolute value is the value of an absolute expression.
Given expressions are
(√(cos(x))×cos(200x)+√(|x|-0.7)×(4-x²)^0.01, √(9-x²), -√(9-x²)
First, equate each expression with y:
y = (√(cos(x))×cos(200x)+√(|x|-0.7)×(4-x²)^0.01
y = √(9-x²)
y = -√(9-x²)
The last two expressions represent the arc of a circle.
The first expression represents two halves of a cardioid.
y = √(9-x²) represents the upper half of a circle whose radius is 3.
y =-√(9-x²) represents the lower half of a circle whose radius is 3.
The red color curve represents the expression -√(9-x²).
The blue color curve represents the expression √(9-x²).
The green color curve represents the expression (√(cos(x))×cos(200x)+√(|x|-0.7)×(4-x²)^0.01
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