Calculus Archive: Questions from July 25, 2023
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Calculate the following. (a) \( \int_{1}^{2} \int_{0}^{3}(1+4 x y) d x d y \) (b) \( \int_{0}^{1} \int_{1}^{7} \frac{2 x e^{x}}{y} d y d x \) (c) \( \iint_{R}\left(18 x^{2} y^{3}-15 y^{4}\right) d A,2 answers -
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Evalua las siguientes integrales usando la transformacion a coordenadas polares Respuesta: 609/8 favor de explicar
a) \( \iint_{R} x y d A \) donde \( R \) es la regi贸n en el primer cuadrante acotada por los c铆rculos \( x^{2}+y^{2}=4 \) \( x^{2}+y^{2}=25 \).2 answers -
Find area between the 2 curves
a) \( x=\frac{1}{y}, x=0, y=1, y=e \) b) \( y=2+|x-1|, y=-\frac{1}{5} x+7 \) c) \( y=x, y=4 x, y=-x+2 \) Sketch (wherever possible) the region encl2 answers -
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Encuentra una funci贸n f tal que f '(x) = 2x^3 y la recta 54x + y = 0 sea tangente a la gr谩fica de f.2 answers
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Encuentre una ecuaci贸n de la recta tangente a la curva en el punto dado y = x 4 + 2 x 2 鈭 x , (1, 2)2 answers
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