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Resuelve el triángulo \( A B C \) y halla su área en estos casos: a) \( c=19 \mathrm{~cm}, a=33 \mathrm{~cm}, \widehat{B}=48^{\circ} \) b) \( a=15 \mathrm{~cm}, b=11 \mathrm{~cm}, \widehat{B}=30^{\circ} \)
Trigonometry Dec 10, 2024
57. Resuelve las siguientes operaciones. \( \begin{array}{ll}\text { a. } \frac{3}{4}-\frac{1}{4} \cdot\left(\frac{3}{5}-\frac{1}{10}\right) & \text { c. } \frac{3}{8}-\frac{1}{4}:\left(\frac{2}{3} \cdot \frac{3}{4}\right) \\ \text { b. } 5+\frac{7}{3}:\left(\frac{4}{3}+2\right) & \text { d. } \frac{8}{3}-\left(\frac{1}{3}+\frac{1}{2}\right): \frac{5}{4}\end{array} \)
Arithmetic Dec 10, 2024
(59. Calcula y simplifica. \( \begin{array}{ll}\text { a. }\left(\frac{2}{3}\right)^{2}-\left(\frac{1}{2}\right)^{2} & \text { c. }\left(\frac{2}{3}\right)^{2}+\left(\frac{2}{3}\right)^{2} \\ \text { b. }\left(\frac{3}{4}-\frac{5}{4}: 2\right)^{2} & \text { d. }\left(3-\frac{7}{2}\right)^{3}+2^{3}\end{array} \)
Algebra Dec 10, 2024
59 Calcula y simplifica. a. \( \left(\frac{2}{3}\right)^{2}-\left(\frac{1}{2}\right)^{2} \) b. \( \left(\frac{3}{4}-\frac{5}{4}: 2\right)^{2} \)
Pre Algebra Dec 10, 2024
c) \( \int \arcsin x d x \)
Calculus Dec 10, 2024
2. Calcular: \( \int_{0}^{1} x \sqrt{a^{2}+b^{2} x^{2}} d x \) 3. (S) Calcular: \( \int_{0}^{2}|2 x-1| d x \) 4. Calcular: \( \int_{0}^{1}|x(2 x-1)| d x \) 5. Calcular: \( \int_{0}^{\sqrt{\pi / 2}} x \operatorname{sen} x^{2} d x \) 6. Calcular: \( \int_{0}^{1} x \operatorname{arctg} x d x \) 7. Calcular: \( \int_{0}^{1}\left(x^{2}+1\right) e^{-2 x} d x \) 8. Calcular: \( \int_{0}^{1} \frac{d x}{(x+1)(x+2)} \) 9. ( ( \( \star) \) Calcular: \( \int_{0}^{1} \frac{d x}{x^{3}+1} \)
Calculus Dec 10, 2024
53 Calcula. \( \begin{array}{ll}\text { a) } \frac{1}{2}-\frac{1}{3}-\frac{3}{5}: 6 & \text { c) } \frac{1}{3}-\frac{5}{2}+5 \cdot\left(\frac{3}{5}\right)^{2}: \frac{1}{5} \\ \text { b) } \frac{5}{2}: \frac{3}{5} \cdot \frac{2}{7}-1 & \text { d) } 3+\frac{1}{5}-\frac{3}{4}: \frac{5}{3}-\frac{17}{12}\end{array} \)
Arithmetic Dec 09, 2024
(52) Realiza estas operaciones combinadas. Presta atención a la jerarquía de las operaciones. \( \begin{array}{ll}\text { a) } \frac{1}{6}+\frac{4}{5}: \frac{3}{2} & \text { c) } \frac{5}{2}-\frac{2}{3}: \frac{7}{6} \\ \text { b) } \frac{13}{20} \cdot \frac{9}{8}-\frac{23}{40} & \text { d) } 4 \cdot \frac{9}{10}-\frac{6}{15}\end{array} \)
Arithmetic Dec 09, 2024
Considera la integral doble \[ \iint_{R} \frac{x^{4}}{y^{2}} e^{x\left(y-\frac{x}{y}\right)} d x d y \] donde \( R \) es la región del primer cuadrante limitada por las curvas \[ y=x^{2}, \quad y=\frac{x^{2}}{5}, \quad x y=2, \quad x y=4 \] a) Representa la región de integración. b) Calcula el valor de la integral. c) Da una interpretación geométrica de esta integral.
Calculus Dec 09, 2024
5. \( \lim _{\rightarrow 0} \frac{\operatorname{sen}(x)}{x} \)
Calculus Dec 09, 2024
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