Calculus Archive: Questions from April 12, 2023
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Evalúa la integral de línea: \( \quad \int_{C}(2 x y) d s \) sobre un cuarto de vuelta del círculo unitario, desde 0 hasta pi/2 Escribe tu respuesta en forma numérica, sin símbolos ni unidades2 answers -
Evalúa la integral de línea: \( \quad \int_{C} 2 x d s \) sobre la C \( =y=\frac{3}{4} x \) desde \( (0,0) \) hasta \( (4,3) \) Escribe tu respuesta en forma numérica, sin símbolos ni unidades2 answers -
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multiple choice
Multiple Guess 15. \( \int_{0}^{1} \int_{0}^{x} F(x, y) d y d x \) is equivalent to (a) \( \int_{0}^{1} \int_{y}^{1} F(x, y) d x d y \) (b) \( \int_{0}^{1} \int_{1}^{y} F(x, y) d x d y \) (c) \( \int_2 answers -
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Solve the equation for \( x \) and \( y \). \[ \begin{array}{c} x+2 j-14 j=y j+3 j 2 \\ x=3, y=-12 \\ x=-12, y=3 \\ x=-12, y=-3 \\ x=-3, y=-12 \end{array} \]2 answers -
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Find the most general antiderivative of the function. (Check your answer by differentiation. Use \( C \) for the constant of the antiderivative.) \[ f(\theta)=9 \sin (\theta)-5 \sec (\theta) \tan (\th2 answers -
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\( \begin{array}{r}F(x)=\int_{5}^{e^{x}}\left(y^{5} \sin (y)\right) d y, \text { find } F^{\prime}(x): \\ F^{\prime}(x)=\end{array} \)2 answers -
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\( \begin{aligned} F(x)=\int_{\sin (x)}^{2}\left(t^{4}+6^{t}\right) d t, \text { find } F^{\prime}(x) & \\ F^{\prime}(x) & =\end{aligned} \)2 answers -
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considerar la función f(x) = 3x + 2 / x - 5 cual es el dominio y el rango? (mostrar todo el trabajo)1 answer
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