Math Problem Statement
Differentiate (x(t)-3)^2 - (y(t)-2)^2 with respect to t, suppose x(t) = √2 cos(t) − √2/2 sin(t) + 3 and y(t) = √2 cos(t) + √2/2 cos(t)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Chain Rule
Parametric Functions
Formulas
Chain Rule: d/dt [f(g(t))] = f'(g(t)) * g'(t)
Derivative of trigonometric functions: d/dt [cos(t)] = -sin(t), d/dt [sin(t)] = cos(t)
Theorems
Chain Rule
Suitable Grade Level
Undergraduate Level - Calculus I or II
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