Advanced Math Archive: Questions from April 17, 2023
-
Choose four equations to match with the quadratic graphs (drag and drop). \[ \begin{array}{cc} y=(x+2)(x-3) & y=x^{2}-3 \quad y=3-x^{2} \\ y=x^{2}-4 x+4 & y=(x+1)(x-3) \\ y=x^{2}-4 x-4 & y=(x+1)(3-x)2 answers -
solving differential equations
3) \( \left(x+x e^{\frac{y}{x}}\right) d y-\left(y+x e^{\frac{y}{x}}+y e^{\frac{y}{x}}\right) d x=0 \)2 answers -
The solution of the initial-value problem \( y^{\prime \prime}+4 y=0, y(0)=1, y^{\prime}(0)=0 \) is (i) \( y=\sin x \) (ii) \( y=\cos x \) (iii) \( y=\cos (2 x) \) (iv) \( y=\sin (2 x) \) (v) \( y=\co2 answers -
2 answers
-
2 answers
-
1. Solve the IVP using the series solution method. (a) \( y^{\prime \prime}+4 y=0, y(0)=2, y^{\prime}(0)=0 \) (b) \( y^{\prime \prime}-y=0, y(0)=1, y^{\prime}(0)=-1 \)2 answers -
2. Solve the initial value problems: \[ y^{\prime \prime}+4 y^{\prime}+4 y=(3+x) e^{-2 x}, \quad y(0)=2, y^{\prime}(0)=5 \]2 answers -
Express the integral \( \iiint_{E} f(x, y, z) d V \) as an iterated integral in six different ways, where \( \mathrm{E} \) is the solid bounded by \( z=0, x=0, z=y-5 x \) and \( y=10 \). \[ \begin{arr2 answers -
1) Find the general solution of a) \( y^{\prime \prime}+5 y^{\prime}+6 y=0 \) b) \( y^{\prime \prime}+y^{\prime}+y=0 \) c) \( y^{\prime \prime}+9 y=0 \)2 answers -
2 answers
-
Find \( y^{\prime} \) when (a) \( y=\frac{3}{x^{3}} \) (b) \( y=5 x^{6 / 5} \) (c) \( y=\frac{6}{x^{2} x^{-1 / 3}} \)2 answers -
Find the product if possible. \[ \left[\begin{array}{ccc} 5 & 0 & -7 \\ 1 & 5 & 9 \end{array}\right]\left[\begin{array}{c} 3 \\ 1 \\ -1 \end{array}\right] \] not possible \[ \left[\begin{array}{ccc} 12 answers -
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
2 answers
-
cjercicios \( \int_{S}(\nabla \times \mathbf{B}) \cdot d s=\oint_{C} B \cdot d \mathbf{l} \) (teorema de Stokes), Un campo vectorial está dado por \( \mathrm{B}=\hat{\mathrm{z}} \cos \) \( \phi / r \0 answers -
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer