Katie Dexter's content - Numbas at mathcentre.ac.uk

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Simple Factorial: x!/(y!*z!)
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Question in Katie's workspace by Katie Dexter

Simplify fractions involving the products of factorials.
Max and Min (5 parts) 24/11
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Question in Katie's workspace by Katie Dexter

$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$ . Find stationary points, local and global maxima and minima of $g$ on $I$
Max and Min (6 parts) 24/11
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Question in Katie's workspace by Katie Dexter

$I$ compact interval, $g:I\rightarrow I$ , $g(x)=(x-a)(x-b)^2$ . Stationary points in interval. Find local and global maxima and minima of $g$ on $I$ .
Katie's copy of Linear combinations of 2 x 2 matrices
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Question in Katie's workspace by Katie Dexter

Linear combinations of $2 \times 2$ matrices. Three examples.
Katie's copy of Matrix Multiplication 1
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Question in Katie's workspace by Katie Dexter

Multiplication of $2 \times 2$ matrices.
Katie's copy of Max and Min 6
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Question in Katie's workspace by Katie Dexter

$I$ compact interval. $\displaystyle g: I\rightarrow I, g(x)=\frac{x^2}{(x-c)^{a/b}}$ . Are there stationary points and local maxima, minima? Has $g$ a global max, global min?
Katie's copy of Sequences and Limits 1.1
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Question in Katie's workspace by Katie Dexter

Seven standard elementary limits of sequences.
Katie's copy of Solve a pair of linear equations using a matrix
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Question in Katie's workspace by Katie Dexter

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
Katie's copy of Functions of two variables: Stationary points 1
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Question in Katie's workspace by Katie Dexter

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$ . Calculate $f(p,q)$ .
Katie's copy of Integration 1 - Substitution
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Question in Katie's workspace by Katie Dexter

Step by step solving for integration by substitution
Katie's copy of Integration by parts
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Question in Katie's workspace by Katie Dexter

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Integration by parts - Ch 1
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Question in Katie's workspace by Katie Dexter

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Integration by parts 2 - cos and sin with limits 19/10
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Question in Katie's workspace by Katie Dexter

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts, Exponential 31/10
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Question in Katie's workspace by Katie Dexter

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$ , find $g(x)$ . Find $h(x)$ , $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$ .
Integration 2 - Substitution 15/10
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Question in Katie's workspace by Katie Dexter

Solving integration by substitution without help
Factorial Ex 3.4
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Question in Katie's workspace by Katie Dexter

Simplify fractions involving the products of factorials.

Katie Dexter

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