28 results authored by Matthew Mears  search across all users.

Question in Class 6  18/19
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Question in Class 4  18/19
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Question in Class 4  17/18
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Question in Class 3  18/19
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Question in Class 2  18/19
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Question in Class 2  18/19
Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

Question in STN Workshop
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Question in Class 20
Curl and divergence of a vector field. Determine whether the vector field is irrotational or solenoidal.

Question in Mock Class Test 2
This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Question in Mock Class Test 2
Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.
rebelmaths

Question in Mock Class Test 2
Find the solution of a constant coefficient second order ordinary differential equation of the form $ay''+by=0$. Complex roots.

Question in Class 18
This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Question in Matthew's workspace
This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Question in Matthew's workspace
Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.
(Last three parts of original question removed.)

Question in Class 12
Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.
rebelmaths

Question in Class 10
Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Question in Class 9 17/18
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Question in Class 5
Antiderivatives
rebel
rebelmaths

Question in Class 4  17/18
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 $x^2$.

Question in Class 4  17/18
Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Exam (2 questions) in Class 4  17/18
Find the first few terms of the Maclaurin and Taylor series of given functions.

Question in Class 3 17/18
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Exam (8 questions) in Matthew's workspace
Differentiation of polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.
rebelmaths

Question in Class 2 1718
Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

Question in Class 2 1718
No description given

Question in Matthew's workspace
Given a randomised rational function select the possible ways of writing the domain of the function.

Question in Matthew's workspace
Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Question in Matthew's workspace
Given a randomised square root function select the possible ways of writing the domain of the function.