259 results for "terms".
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Question in Demos
An experiment using a PhET applet. The student can attach masses of different weights to a spring, and is asked to measure and record how far it stretches. Their measurements are shown on a graph, and they're asked to estimate the formula for the length in terms of the mass.
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Question in Ugur's workspace
Gradient of $f(x,y,z)$.
Should warn that multiplied terms need * to denote multiplication.
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Question in Programming extension
In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.
In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.
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Question in Yvonne's workspace
No description given
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Question in Yvonne's workspace
Simple exercise in collecting terms in different powers of \(x\)
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Question in Yvonne's workspace
Simple exercise in collecting terms in different powers of \(x\)
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Question in Yvonne's workspace
Simple exercise in collecting terms in different powers of \(x\)
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Exam (2 questions) in Mash's workspace
No description given
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Question in Yvonne's workspace
Simple exercise in collecting terms in different powers of \(x\)
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Question in Transition to university
Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.
The word problem is about the costs of sweets in a sweet shop.
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Question in Ed questions to share
Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression. The word problem is about the costs of sweets in a sweet shop. The quantity of each type of sweet is randomised.
This question was modified from a Newcastle University question.
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Question in Mash's workspace
No description given
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}\left(\frac{\sqrt{x}}{y}\right)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$, $x$ and $y$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}(\sqrt{x})$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}\left(\frac{x}{y}\right)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$, $x$ and $y$ are given.
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Question in MASH Bath: Question Bank
Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.
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Question in Musa's workspace
Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Question in David's workspace
Simple exercise in collecting terms in different powers of \(x\)
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Question in NCL MAS2707
Consider a binary tree with $2^n$ nodes.
We give generators for the isomorphisms of the tree: at each non-leaf vertex, swap the branches descending from that node.
- What is the action of a given word?
- Write a word which produces the required isomorphism
- Which generators commute?
- What is the order of each generator?
- Write one of the (non-root) generators in terms of the others.
- Which permutations of the leaves are possible?
- What is the order of the group of isomorphisms?
- What is the order of the quotient group obtained by identifying all the leaves of one branch?
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Question in Gareth's workspace
Implicit differentiation.
Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.
Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.
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Question in Ugur's workspace
Given the first few terms of an arithmetic sequence, write down its formula, then find a couple of particular terms.
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Question in Mash's workspace
No description given
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Exam (2 questions) in .Algebra
Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.
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Question in .Algebra
As it says on the tin!
Random terms including powers of x.
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Question in .Algebra
Simple exercise in collecting terms in different powers of \(x\)
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Question in Mash's workspace
No description given
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Question in MY QUESTIONS
Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in MY QUESTIONS
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.
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Question in 0 Calculo derivadas
Implicit differentiation.
Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.
Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.
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Question in 0 Calculo derivadas
Implicit differentiation.
Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.