177 results for "constant".
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Question in Content created by Newcastle University
A plane goes through three given non-collinear points in 3-space. Find the Cartesian equation of the plane in the form $ax+by+cz=d$.
There is a problem in that this equation can be multiplied by a constant and be correct. Perhaps d can be given as this makes a,b and c unique and the method of the question will give the correct solution.
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Question in Content created by Newcastle University
Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$.
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Question in Content created by Newcastle University
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by'+cy=0$.
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Question in Content created by Newcastle University
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''-by=0$. Distinct roots.
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Question in Content created by Newcastle University
Given constant demand for a product, with a single break point on the price, calculate the economic order quantity, and the minimum cost per year.
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Question in Content created by Newcastle University
Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$, find $g(x)$. Find $h(x)$, $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$.
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Question in Content created by Newcastle University
Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.
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Question in Content created by Newcastle University
Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.
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Question in Content created by Newcastle University
Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.
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Question in Content created by Newcastle University
$\displaystyle \int \frac{bx+c}{(ax+d)^n} dx=g(x)(ax+d)^{1-n}+C$ for a polynomial $g(x)$. Find $g(x)$.
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Question in Content created by Newcastle University
Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.
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Question in Content created by Newcastle University
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.
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Question in Content created by Newcastle University
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$
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Question in Content created by Newcastle University
Given constant demand for a product, calculate the economic order quantity, and the minimum cost per year.
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Question in Content created by Newcastle University
Find $\displaystyle\int \frac{ax^3-ax+b}{1-x^2}\;dx$. Input constant of integration as $C$.
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Question in Content created by Newcastle University
Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$, find $g(x)$.
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Question in Content created by Newcastle University
Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots.
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Question in Content created by Newcastle University
Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$.
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Question in Content created by Newcastle University
Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
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Question in Transition to university
Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$, in terms of $k$. $a$ and $b$ are constants.
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Question in Transition to university
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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Question in Transition to university
Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
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Question in J. Richard's workspace
Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
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Question in Thomas's workspace
Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.
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Question in BS11001 questions
A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.
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Question in College Algebra for STEM
Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$, in terms of $k$. $a$ and $b$ are constants.
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Question in College Algebra for STEM
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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Question in NUMBAS workshop demo
A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.
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Question in NUMBAS workshop demo
A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.
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Question in Clare Laplace
No description given