427 results for "solving".

Question in GlobalGuruFor using as a practice in solving system of linear equations in two variables.

Question in AJAY's workspaceThis 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 in All questions
$f(x)= ae^{bt}+c$ 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 in Engineering Statics
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 in Engineering Statics
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 in All questions
Some quadratics are to be solved by factorising

Question in All questions
A quadratic equation (equivalent to $(x+a)^2b$) 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 in All questions
A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

Question in John's workspace
Some quadratics are to be solved by factorising

Question in Maths supportSolving 1 linear and 1 quadratic simultaneous equations

Question in All questions
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) in Kevin's workspaceA collection of questions on solving equations and revising manipulation of small matrices for 2nd year students

Question in Shaheen's workspace
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

Exam (3 questions) in Yvonne's workspaceIn 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 in Johnny's workspace
Using trig identities to find solutions to equations

Question in Ruth's workspace
Solving equations for x

Question in Anna's workspace
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 in All questions
Some quadratics are to be solved by factorising

Question in Content created by Newcastle University
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 in Content created by Newcastle University
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 in Content created by Newcastle University
Solving an equation of the form $ax \equiv b\;\textrm{mod}\;n$ where $a$ and $n$ are coprime.

Question in Content created by Newcastle University
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 in Content created by Newcastle University
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 in Content created by Newcastle University
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) in Content created by Newcastle UniversityQuestions used in a university course titled "Methods for solving differential equations"

Question in Content created by Newcastle University
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Question in Content created by Newcastle University
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 in Content created by Newcastle University
Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

Question in Content created by Newcastle University
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.

Question in Content created by Newcastle University
Solve $\displaystyle ax + b = cx + d$ for $x$.