38 results authored by Timur Zaripov  search across all users.

Question in ME420 20192020 cleared
Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

Question in ME420 20192020 cleared
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

Question in ME420 20192020 cleared
Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Question in ME420 20192020 cleared
Finding the value of a variable

Question in ME420 20192020 cleared
Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

Question in ME420 20192020 drafts
Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.

Question in ME420 20192020 drafts
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 ME420 20192020 cleared
Cofactors Determinant and inverse of a 3x3 matrix.

Question in ME420 20192020 cleared
Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Question in ME420 20192020 cleared
Dealing with expressions in online tests and in Matlab.

Question in ME420 20192020 cleared
What is the value of the expression given a choice of n?

Question in ME420 20192020 cleared
Find the determinant of a $3 \times 3$ matrix.

Question in ME420 20192020 cleared
Multiplication of matrices of different sizes.

Question in ME420 20192020 cleared
Multiplication of matrices of different sizes.

Question in ME420 20192020 cleared
Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

Question in ME420 20192020 cleared
Solve for $x$: $\displaystyle ax+b = cx+d$

Question in ME420 20192020 cleared
This question tests students knowledge of basic matrix arithmetic.

Question in ME420 20192020 cleared
Multiplication of $2 \times 2$ matrices.

Question in ME420 20192020 cleared
Exercises in multiplying matrices.

Question in ME420 20192020 cleared
aij notation and definition of the order of a matrix.

Question in ME420 20192020 cleared
Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Exam (5 questions) in Timur's workspace
Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Question in ME420 20192020 drafts
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Question in ME420 20192020 drafts
Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

Question in ME420 20192020 drafts
The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$. Find $p$.

Question in ME420 20192020 drafts
The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.

Question in ME420 20192020 drafts
The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.

Question in ME420 20192020 drafts
Polar form of a complex number.

Question in ME420 20192020 drafts
Calculate the principal value of a complex number.

Question in ME420 20192020 drafts
Calculation of modulus, argument, multiplication by complex conjugate, given two complex numbers.