Recent questions tagged equation

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Solve for \(x: \log _4 x+\log _4(x-6)=\log _5 25\)
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Given: \(\quad X=\sqrt{e-4}\)Write down the value of \(e\), for which \(X\) is:1. Zero2. Non-realDetermine the value(s) of \(m\) for which the equation \(m x^2-12 x+9=0\)...
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Solve for \(x\) : \[16^x=1\]2.1.2\[\sqrt{2 x+7}=4-x\]
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Solve \(2(3x + 5) = -44\)
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Solve the linear equation \(4x+10=30\)
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Here is a Pascal equation that yields y as a function of theHighLowRange of the data over a number of days. Can you reverse theequation to yield the HighLowRange as a fu...
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Find an equation for the plane that passes through \((6,0,-2)\) and contains the line \(x=4 - 2t, y=3+5t, z=7+4t\)
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explain regression problem
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What is the conjugate of the complex number \(7+3i\) ?
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Solve the equation \(x^2-20x+90=25\)
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Solve this question \(2-x^3=0\)
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To solve the maximization problem of the investor, we need to set up the Lagrangian and find the optimal conditions. Let's consider the following problem:\[\underset{\lef...
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Solve the equation \(3x+2=9\)
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When dimension reducing data in $\mathbb{R}^D$ using PCA, the choice of embedding dimension is crucial. Many heuristics exist to estimate a good dimension. One is to choo...
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Solve the equation \(x^2+2x-9=25\)
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Explain rolling resistance force \( \begin{aligned} F_{\mathrm{R}}= & F_{\mathrm{r}}+F_{\mathrm{W}}+F_{\mathrm{g}}=m g f_{\mathrm{r}} \cos \alpha \\ & +\frac{1}{2} \rho_{...
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solve \(2x+3x-9=12\)
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Write down the common ratio and determine the values of \(x\) for which the geometric series converge. \( (x-2)^{2}+(x-2)^{3}+(x-2)^{4}+\ldots \ldots \ldots \)
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\( f l\left(x_{2}\right)=\frac{-2 c}{b-\sqrt{b^{2}-4 a c}}=\frac{-2.000}{62.10-62.06}=\frac{-2.000}{0.04000}=-50.00 \)
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Solve 2x+4=12
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Solution \( e^{i \pi}+1=0 \)
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Explain \( e^{i \pi}+1=0 \)
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solution \( x\left(\frac{1}{\sqrt[x]{x^{3}}}\right)-\frac{x^{x-2}}{x}=0 \)
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Define a Diophantine equation.
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What is the solution to this equation, \(2x-3=10\)?
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\[ \frac{\log x}{y-z}=\frac{\log y}{z-x}=\frac{\log z}{x-y} \]\[ x^{x} y^{y} z^{z}=? \]
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\( \int_{0}^{\frac{\pi}{2}} \sqrt{ }(1+\sqrt{ } \sin x) d x \)
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if \( 2^{m+n}=32 \) and \( 3^{3 m-2 n}=243 \) find \( m: n= \) ?
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What is the square root of two?
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Write the molecular equation of sodium nitrate
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Solve the exact differential equation \( (2xy+3)dx + (x^2+1)dy = 0\)
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Solve the homogeneous differential equation \(y'=\frac{y}{x}\)
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Solve the first-order linear differential equation \(\frac{dx}{ dy} ​ +y=e ^x \)
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Solve the separable differential equation \(\frac{dx}{ dy} ​ =xy\).
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Find the linear approximation to \( h(y)=\sin (y+1) \) at \( y=0 \). Use the linear approximation to approximate the value of \( \sin (2) \) and \( \sin (15) \). Compare ...
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Find the linear approximation to \( h(y)=\sin (y+1) \) at \( y=0 \). Use the linear approximation to approximate the value of \( \sin (2) \) and \( \sin (15) \). Compare ...
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Find a linear approximation to the function \( g(t)=\mathbf{e}^{\sin (t)} \) at \( t=-4 \)
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Find a linear approximation to the function \( g(x)=2-9 x-3 x^{2}-x^{3} \) at \( x=-1 \)
107
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Find a linear approximation to the function \( f(x)=\cos (2 x) \) at \( x=\pi \)
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Find a linear approximation to \( h(t)=t^{4}-6 t^{3}+3 t-7 \) at \( t=-3 \).
97
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Find a function if the derivative of the function is given e.g. \(f'(x) =2x\)
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SOlve the equation \(x^2-4=0\)
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Evaluate \( e^{i \pi}+1=0 \)
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Is \(\log_{10}2\) rational?
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Solve \( \quad y^{(4)}-4 y^{\prime \prime \prime}+9 y^{\prime \prime}-10 y^{\prime}+6 y=0 \).
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Solve \( y^{(4)}+4 y^{\prime \prime \prime}+10 y^{\prime \prime}+12 y^{\prime}+9 y=0 \).
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Find a linear differential equation with constant coefficients satisfied by \( e^{2 x}, e^{-x}, e^{3 x} \), and \( e^{5 x} \).
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Find a linear differential equation with constant coefficients satisfied by \( e^{-2 x} \) and \( e^{x} \cos 2 x \).
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Solve \( \quad x^{2} y^{\prime \prime}+x y^{\prime}+\left(x^{2}-\frac{1}{4}\right) y=0 \quad \) (a special case of Bessel's equation) for \( x>0 \).
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Two variables are related by the equation \( 2 \ln x+\ln y=x-y \). What is the equation of the tangent line to the graph of this relation at the point \( (1,1) \) ?
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