Calculus Archive: Questions from April 01, 2023
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roblem \# 1: Find the domain of the function \( f(x, y)=\ln \left(2 x^{2}-5 y+1\right) \). The set of all ordered pairs \( (x, y) \) for which: (A) \( y \geq-\frac{1+2 x^{2}}{5} \) (B) \( y>\frac{1+22 answers -
Find each limit. \[ f(x, y)=7 x^{2}+2 y^{2} \] (a) \( \lim _{\Delta x \rightarrow 0} \frac{f(x+\Delta x, y)-f(x, y)}{\Delta x} \) (b) \( \quad \lim _{\Delta y \rightarrow 0} \frac{f(x, y+\Delta y)-f(x2 answers -
Find each limit. \[ f(x, y)=\frac{6}{x+y} \] (a) \( \lim _{\Delta x \rightarrow 0} \frac{f(x+\Delta x, y)-f(x, y)}{\Delta x} \) (b) \( \quad \lim _{\Delta y \rightarrow 0} \frac{f(x, y+\Delta y)-f(x,2 answers -
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