Other Math Archive: Questions from February 08, 2023
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Logistic regression: \[ J(\theta)=-\frac{1}{m}\left[\sum_{i=1}^{m} y^{(i)} \log h_{\theta}\left(x^{(i)}\right)+\left(1-y^{(i)}\right) \log \left(1-h_{\theta}\left(x^{(i)}\right)\right)\right]+\frac{\l0 answers -
0 answers
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3. Find the solution of the given IVP: \[ \begin{array}{l} y^{\prime \prime}+4 y=3 \sin (2 t) \\ y(0)=2 \\ y^{\prime}(0)=-1 \end{array} \]2 answers -
7. Solve the following IVP: \[ y^{\prime \prime}-2 y^{\prime}+y=\frac{e^{t}}{t^{2}+1} \quad y(0)=5 \quad y^{\prime}(0)=-1 \]2 answers -
need asap ty
Use the graphs of \( x=f(t) \) and \( y=g(t) \) below to sketch the parametric curve \( x=f(t), y=g(t) \) in the \( x y \) -2 answers -
Solvel \( y^{\prime \prime}+5 y^{\prime}+4 y=0 \quad y(0)=y^{\prime}(0)=1 \) Solvel \( y^{\prime \prime}+4 y^{\prime}-2 y=0 \quad y(0)=1 \quad y^{\prime}(0)=-2 \)2 answers -
Find the first derivative of the following: 1. \( y=e^{3 x^{3}+6 x^{2}} \) 2. \( y=e^{-9 x^{2} \cdot \log \left(x^{2}\right)} \) 3. \( y=\log \left[e^{\left(\frac{6 x+7}{2 x^{3}+3}\right)}\right] \) 42 answers -
5. \( \sin ^{2} x-2 \sin x-3=0 \) 8. \( \sin x+\sin x \cos x=0 \) 6. \( \sin ^{2} x-3 \sin x+2=0 \) 9. \( \tan ^{2} x-\sqrt{3} \tan x=0 \) \( 4 \cos ^{2} x-3=0 \) 10. \( \cos x=3 \cos x-2 \)2 answers -
La cercha de la figura está sometida a una fuerza vertical \( \mathbf{P}=9 \mathrm{kN} \) actuando en la junta B. Para diseñar las barras se estableció que el esfuerzo normal \( \sigma \) (de compr0 answers -
Solve the initial value problem. \[ (\cos x) \frac{d y}{d x}+y \sin x=9 x \cos ^{2} x, \quad y\left(\frac{2 \pi}{3}\right)=\frac{\pi^{2}}{2} \]2 answers -
Let \( U=\{q, r, s, t, u, v, w, x, y, z\} \) \[ \begin{array}{l} A=\{\mathrm{q}, \mathrm{s}, \mathrm{u}, \mathrm{w}, \mathrm{y}\} \\ B=\{\mathrm{q}, \mathrm{s}, \mathrm{y}, \mathrm{z}\} \\ C=\{\mathrm2 answers