225 results authored by Maria Aneiros  search across all users.

Exam (6 questions) in Maria's workspace
Applications of Derivatives 2

Question in MY QUESTIONS
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Question in MY QUESTIONS
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Question in MY QUESTIONS
Just what the title says, I guess.

Question in MY QUESTIONS
Just what the title says, I guess.

Question in MY QUESTIONS
Just what the title says, I guess.

Question in MY QUESTIONS
Just what the title says, I guess. I couldn't find a 0^0 that didn't converge to 1 except things like x^(1/ln(x)) as x>0, but they just need the e^ln() transformation, not L'hopital's rule!

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 $x^2$.

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 $x^2$.

Question in MY QUESTIONS
Use two points on a line graph to calculate the gradient and $y$intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.
This particular example has a negative gradient.

Question in MY QUESTIONS
Use two points on a line graph to calculate the gradient and $y$intercept and hence the equation of the straight line running through both points.
The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.
This particular example has a positive gradient.

Exam (19 questions) in Maria's workspace
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Exam (49 questions) in Maria's workspace
Maths 1 B week 1 to week 6 content

Exam (4 questions) in Maria's workspace
Questions on differentiation from first principles, and continuity and differentiability.

Question in MY QUESTIONS
Problem on a closed cylindrical tank having minimum surface area

Question in MY QUESTIONS
Another practical application of differentiation

Question in MY QUESTIONS
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Question in MY QUESTIONS
Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Exam (16 questions) in MY QUESTIONS
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Question in MY QUESTIONS
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.

Question in Maria's workspace
Find the determinant of a $4 \times 4$ matrix.

Question in Maria's workspace
Find the determinant of a $3 \times 3$ matrix.

Question in MY QUESTIONS
Basic rules of derivatives

Question in MY QUESTIONS
Given a randomised log function select the possible ways of writing the domain of the function.

Question in MY QUESTIONS
Rearranging equations to change the subject

Question in MY QUESTIONS
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 MY QUESTIONS
A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

Question in MY QUESTIONS
Substitute values into formulae for the area or volume of various geometric objects.

Question in MY QUESTIONS
Given a randomised square root function select the possible ways of writing the domain of the function.

Question in MY QUESTIONS
Given a randomised rational function select the possible ways of writing the domain of the function.