427 results for "solving".

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• Question
For using as a practice in solving system of linear equations in two variables.
• Question
This is a new and easy way for solving quadratic equation. It is based on the property that the roots are equidistant from the average.
• Question

$f(x)= ae^{-bt}+c$ is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

• Question

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

• Question

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

• Question

Some quadratics are to be solved by factorising

• Question

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

• Question

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

• Question

Some quadratics are to be solved by factorising

• Question
Solving 1 linear and 1 quadratic simultaneous equations
• Question

Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question

• Exam (5 questions)
A collection of questions on solving equations and revising manipulation of small matrices for 2nd year students
• Question

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

• Algebra 1
Exam (3 questions)
In this practice test you can work on simple equations and also solving quadratics using the formula. You should give all answers to 2 decimal places.
• Question

Using trig identities to find solutions to equations

Question

Solving equations for x

• Min_max_v1
Draft
Question

Calculate the local extrema of a function ${f(x) = e^{x/C1}(C2sin(x)-C3cos(x))}$

The graph of f(x) has to be identified.

The first derivative of f(x) has to be calculated.

The min max points have to be identified using the graph and/or calculated using the first derivative method.  Requires solving trigonometric equation

• Question

Some quadratics are to be solved by factorising

• Question

Solving a pair of congruences of the form \begin{align}x &\equiv b_1\;\textrm{mod} \;n_1\\x &\equiv b_2\;\textrm{mod}\;n_2 \end{align} where $n_1,\;n_2$ are coprime.

• Question

Solving two simultaneous congruences:

$\begin{eqnarray*} c_1x\;&\equiv&\;b_1\;&\mod&\;n_1\\ c_2x\;&\equiv&\;b_2\;&\mod&\;n_2\\ \end{eqnarray*}$ where $\operatorname{gcd}(c_1,n_1)=1,\;\operatorname{gcd}(c_2,n_2)=1,\;\operatorname{gcd}(n_1,n_2)=1$

• Question

Solving an equation of the form $ax \equiv b\;\textrm{mod}\;n$ where $a$ and $n$ are coprime.

• Question

Solving an equation of the form $ax \equiv\;b\;\textrm{mod}\;n$  where $\operatorname{gcd}(a,n)|r$. In this case we can find all solutions. The user is asked for the two greatest.

• Question

Solving three simultaneous congruences using the Chinese Remainder Theorem:

$\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*}$ where $\operatorname{gcd}(n_1,n_2,n_3)=1$

• Question

Solving three simultaneous congruences using the Chinese Remainder Theorem:

$\begin{eqnarray*} x\;&\equiv&\;b_1\;&\mod&\;n_1\\ x\;&\equiv&\;b_2\;&\mod&\;n_2\\x\;&\equiv&\;b_3\;&\mod&\;n_3 \end{eqnarray*}$ where $\operatorname{gcd}(n_1,n_2,n_3)=1$

• Exam (9 questions)
Questions used in a university course titled "Methods for solving differential equations"
• Question

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

• Question

Student is given a set of constraints for a linear program. Asked to enter the constraints as inequalities, and then to identify the optimal solution.

Problem with solving the simultaneous equations gven by the constraints - too unwieldy and not given enough marks for doing so. Best if the point of intersection is given graphically by putting the mouse over the intersection.

• Question

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

• Question

Solve for $x$ and $y$:  $\begin{eqnarray} a_1x+b_1y&=&c_1\\ a_2x+b_2y&=&c_2 \end{eqnarray}$

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

• Solving equations
Solve $\displaystyle ax + b = cx + d$ for $x$.