Simplifying algebraic expressions

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Classic problem of a vehicle parked on an incline.  Best solved by rotating the coordinate system.

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Find roots and the area under a parabola

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.

Calculate the centroidal moment of intertia of a rectangle with a excentric rectangular hole.

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

Sum three force vectors based on a written description of the situation.

Determine the mechanical advantage of a pair of compound lopping shears.

An A-frame structure supporting a force or a moment.  One leg is a two force body.

Find all forces on a two-part, symmetrical frame supporting a load. 

An A-frame structure supporting a force and a moment. The feet are at the same vertical position, so taking moments at one foot yields the y component of the reaction at the other.

Find the highest scoring people over a course of days using the MAX, MATCH and INDEX functions

Rewriting fractions of the form $\frac{\sqrt[m]{x^n}}{\sqrt[p]{x^q}}$ to $x^{\frac{n}{m}-\frac{q}{p}}$.

Rewriting expressions from $\sqrt[m]{x^n}$ to $x^\frac{n}{m}$.

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

A demo of the mathematical expression part and its options.

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Sort a list of numbers into "prime" or "composite".

Factorising a quadratic expression of the form $ax^2+bx+c$ by completing the square.

Factorising a quadratic expression of the form $x^2+bx+c$ by completing the square.

Solving a quadratic equation via factorisation, with the $x^2$-term having a coefficient of 1.

Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.

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Maximaliseer output bij gegeven kosten