Calculus Archive: Questions from July 15, 2023
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Integrate \( f(x, y)=e^{2 x^{2}+2 y^{2}} \) over the domain \( \left\{(x, y) \mid x^{2}+y^{2} \leq 3\right\} \)2 answers -
Find the absolute maxima and minima of \( f(x, y) \) on the given regions \[ \begin{array}{l} f(x, y)=x^{2}+y^{2} \quad \text { on } \\ R=\{(x, y) \mid 0 \leq x \leq 1, \quad 0 \leq y \leq 2-2 x\} \\2 answers -
Find the values of the function. f(x, y) = x²/(1 + y²) (a) f(-5, 0) (b) f(8, 1) D (c) ( ²2 - -/-) (d) f(-6, y)
Find the values of the function. \[ f(x, y)=x^{2} /\left(1+y^{2}\right) \] (a) \( f(-5,0) \) (b) \( f(8,1) \) (c) \( f\left(\frac{1}{2},-\frac{1}{2}\right) \) (d) \( f(-6, y) \)2 answers -
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Find y' and y''. please show steps
Find \( y^{\prime} \) and \( y^{\prime \prime} \). \[ y=\cos \left(x^{2}\right) \] \[ y^{\prime}= \] \[ y^{\prime \prime}= \]2 answers -
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