53 results authored by cormac breen  search across all users.

Question in Blathnaid's workspace
Introduction to using the product rule

Question in Blathnaid's workspace
A basic introduction to differentiation

Question in Blathnaid's workspace
Simple Indefinite Integrals

Question in cormac's workspace
Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Question in cormac's workspace
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Question in Blathnaid's workspace
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Question in cormac's workspace
Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Question in cormac's workspace
Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Question in Blathnaid's workspace
Finding the lengths and angles within a rightangled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Question in Blathnaid's workspace
No description given

Question in Blathnaid's workspace
Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.

Question in Blathnaid's workspace
No description given

Question in Blathnaid's workspace
No description given

Question in Blathnaid's workspace
Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)\log_a(x^{1/t})=\log_a(q(x))$

Question in Blathnaid's workspace
Two questions testing the application of the Sine Rule when given two angles and a side. In this question the triangle is obtuse. In one question, the two given angles are both acute. In the second, one of the angles is obtuse.

Question in Blathnaid's workspace
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Question in Blathnaid's workspace
Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

Question in Blathnaid's workspace
This question takes the student through variety of examples of quadratic inequalities by asking them for the range(s) for which $x$ meets the inequality.

Question in Blathnaid's workspace
In the first three parts, rearrange linear inequalities to make $x$ the subject.
In the last four parts, correctly give the direction of the inequality sign after rearranging an inequality.

cormac's copy of MATH6058 Factorising Quadratic Equations with $x^2$ Coefficients Greater than 1 DraftQuestion in Blathnaid's workspace
Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Question in Blathnaid's workspace
Practice finding parallel and perpendicular lines to a given line.
rebelmaths

Question in Blathnaid's workspace
Integration by susbtitution, no hint given

Question in Blathnaid's workspace
Maximising the volume of a rectangular box

Question in Blathnaid's workspace
Chain rule

Question in cormac's workspace
Introduction to using the product rule

Question in cormac's workspace
Integration by susbtitution, no hint given

Question in cormac's workspace
A basic introduction to differentiation

Question in cormac's workspace
Simple Indefinite Integrals

Question in cormac's workspace
Implicit differentiation.
Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Question in cormac's workspace
Quotient rule