# 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... 50 views 1 answers Solve the equation $$3x+2=9$$ 62 views 1 answers 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... 72 views 1 answers Solve the equation $$x^2+2x-9=25$$ 71 views 1 answers 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_{... 77 views 1 answers solve \(2x+3x-9=12 97 views 1 answers Write down the common ratio and determine the values of $$x$$ for which the geometric series converge. $$(x-2)^{2}+(x-2)^{3}+(x-2)^{4}+\ldots \ldots \ldots$$ 108 views 1 answers $$f l\left(x_{2}\right)=\frac{-2 c}{b-\sqrt{b^{2}-4 a c}}=\frac{-2.000}{62.10-62.06}=\frac{-2.000}{0.04000}=-50.00$$ 79 views 1 answers Solve 2x+4=12 97 views 1 answers Solution $$e^{i \pi}+1=0$$ 94 views 1 answers Explain $$e^{i \pi}+1=0$$ 101 views 1 answers solution $$x\left(\frac{1}{\sqrt[x]{x^{3}}}\right)-\frac{x^{x-2}}{x}=0$$ 83 views 1 answers Define a Diophantine equation. 84 views 1 answers What is the solution to this equation, $$2x-3=10$$? 84 views 1 answers \[ \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 $$x=-1$$
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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 $$t=-3$$.
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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 $$e^{5 x}$$.
Find a linear differential equation with constant coefficients satisfied by $$e^{-2 x}$$ and $$e^{x} \cos 2 x$$.
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 $$x>0$$.
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 $$(1,1)$$ ?