Math Problem Statement
do question 5
Refer to the following system of equations, where x and y are variables and t is a parameter: x^2y^2 = 5t + y, 1 + 2yt = x^3. Are the 2 conditions in the IFT satisfied at the point B = (x, y, t) = (1, 1, 0)? Answer Yes or No. In answering this part, express your answer as a fraction reduced to its simplest form.
Solution
In Question 5, we are given a system of equations involving the variables (
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Math Problem Analysis
Mathematical Concepts
Algebra
Implicit Function Theorem
Partial Derivatives
Formulas
Implicit Function Theorem
Partial Derivative formula: ∂y/∂t
Theorems
Implicit Function Theorem
Suitable Grade Level
Grades 11-12
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