262 results for "terms".
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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 $y$.
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Question in Linear Algebra 1st year
To understand matrix multiplication in terms of linear combinations of column vectors.
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Question in Linear Algebra 1st year
Easy true/false questions to check if the meaning of a size of a matrix is understood, in terms of numbers of rows and columns.
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Question in DIAGNOSYS
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Question in DIAGNOSYS
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Question in How-tos
This shows how to use variable name annotations inside \simplify to display a 3D vector in terms of the standard unit vectors $\boldsymbol{i}$, $\boldsymbol{j}$, $\boldsymbol{k}$
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Question in Trash-backup
Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$.
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Exam (3 questions) in Marie's recurrence relations workspaceRecurrence relations quiz
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Question in Marie's recurrence relations workspace
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Question in How-tosA custom marking algorithm picks out the names of the constants of integration that the student has used for the $\cos$ and $\sin$ terms in their answer, and replaces them with $A$ and $B$ respectively, before comparing with the correct answer. This way, the student is free to choose the names for their constants of integration.
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Question in Jos's workspace
Solve for $x$ and $y$: \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\ a_2x+b_2y&=&c_2 \end{eqnarray} \]
The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.
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Question in Transition to university
Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.
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Question in Numerical Bits'n'Pieces
Write a loop in,e.g., Matlab or Python to determine terms in a sequence.
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Question in Introduction to Calculus
Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$
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Exam (2 questions) in Transition to university
Questions which ask the student to intepret vector diagrams in order to write out the components in terms of base vectors. Also addition and subtraction of vectors and vector magnitude.
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Describe (one-component) vectors in terms of base vectors, add and find magnitude Needs to be testedQuestion in Transition to university
This question introduces base vectors i and j and asks the student to interpret a JSXGraph diagram to write four vectors in terms of the base vectors. Further parts ask the student to add vectors and find a magnitude.
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Question in Transition to university
This question asks the student to interpret a JSXGraph diagram to write three vectors in terms of the base vectors. Each vector has both a horizontal and vertical component. Further parts ask the student to add vectors and find a magnitude.
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Question in Demos
Customised for the Numbas demo exam
Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Video in Show steps.
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Question in Bill's workspace
Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.
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Question in Bill's workspace
Questions testing addition, subtraction, multiplication of numerical fractions and reduction to lowest terms. They also test BIDMAS in the context of fractions.
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Question in Bill's workspace
Questions testing understanding of numerators and denominators of numerical fractions, and reduction to lowest terms.