38 results authored by Timur Zaripov  search across all users.

W2a: Solve an equation with reciprocals2
Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$
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Last modified 10/10/2019 10:07
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Last modified 08/10/2019 16:55
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Last modified 08/10/2019 16:51
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W2a: Simplifying fractions
Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.
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Last modified 08/10/2019 16:50
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W2b: Solve an equation in algebraic fractions
Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.
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Last modified 08/10/2019 16:50
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W2b: Simplify logarithms
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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Last modified 07/10/2019 13:28
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W1b  Solve simultaneous equations by finding inverse matrix
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
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Last modified 02/10/2019 16:11
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W1b  Cofactors, Determinant and Inverse of a 3x3 matrix
Cofactors Determinant and inverse of a 3x3 matrix.
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Last modified 02/10/2019 16:08
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W1b  Find determinants and inverses of 2x2 matrices
Find the determinant and inverse of three $2 \times 2$ invertible matrices.
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Last modified 02/10/2019 15:56
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W1c  How to enter expressions in online tests and Matlab
Dealing with expressions in online tests and in Matlab.
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Last modified 02/10/2019 15:05
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