Other Math Archive: Questions from June 07, 2023
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\( \int(3 u+2)^{3} d u \) A) \( \frac{27}{4} u^{4}+18 u^{3}+8 u^{2}-8 u+c \) B) \( \frac{27}{4} u^{4}+18 u^{3}+18 u^{2}+8 u+c \) C) \( \frac{27}{4} u^{4}+18 u^{3}+28 u^{2}+18 u+c \) D) \( \frac{20}{4}2 answers -
Find the potential function for the vector field: \[ \vec{F}=\left(2 z^{4}-2 y-y^{3}\right) \vec{z}+\left(z-2 x-3 x y^{2}\right) \vec{j}+\left(6+y+8 x z^{3}\right) \vec{k} \text {. } \] a. \( f(x, y,0 answers -
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Solve the following initial-value problems using Laplace (a) \( y^{\prime \prime}-6 y^{\prime}+9 y=6 t^{2} e^{3 t} \), \[ y(0)=0, \quad y^{\prime}(0)=1 . \] (b) \( y^{\prime \prime}-4 y^{\prime}=6 e^{2 answers -
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1. \( \int_{a}^{b} f(x) d x=\int_{a}^{c} f(x) d x+\int_{c}^{b} f(x) d x, c \notin[a, b] \). 2. \( \int_{a}^{b} f(x) d x=\int_{a}^{b} f(a+b-x) d x \) 3. \( \int_{a}^{b} f(x) d x=-\int_{b}^{a} f(x) d x2 answers -
La diferencia entre el espacio alcanzable y el espacio diestro es: The difference between reachable space and dexterous space is: El espacio alcanzable permite llegar a un objeto en todas las orientac2 answers -
Deseamos obtener el valor de los ángulos donde sabemos que: We wish to obtain the value of the angles \( \Theta_{1}, \Theta_{2} \) and \( \theta_{3} \) where we know that: \[ \theta_{1}+\theta_{2}+\t0 answers -
c) determine los primeros siete términos de la progresión con el término general \( a_{n}=\frac{3+2^{n}}{4} \) d) determine los primeros ocho términos de la progresión aritmética con \( a_{1}= \2 answers -
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