What is a simple example of a limit in the real world?

This morning, I read Wikipedia's informal definition of a limit: > Informally, a function f assigns an output $f(x)$ to every input $x$. The > function has a limit $L$ at an input $p$ if... more

03/14/19

Why is the number $e$ so important in mathematics?

I've heard a lot about this number $e$. Why is it so important? How does it fit into the 'bigger picture' of mathematics? How is it calculated and used?

03/14/19

If (x+1) +(x-1) =0, what is x?

Calculate point, given x, y, angle, and distance?

Excuse my ignorance and use of incorrect terms, but... I have x and y coordinates, and the angle that the entity is facing on a 2D plane. I want to find the correct point, say 5 units in front of... more

03/13/19

A true or false

the quadratic formula can be used to find the real roots of a quadratic function.

03/13/19

Math Polynomials

Consider the polonomial P(x) equals x^3 + KX squared + X + 6 find the other 2 factors of P for the value of K found in part a the value of K is 4

03/13/19

How do I solve mx+b=-tan(a) (x-h) for x?

03/13/19

What will I need pre-algebra for?

When can you use a triangle to represent trig substitution?

I apologize if this seems like a newbie question but it's been really messing with my head. I'm reading about using trig substitution in integration and everyone seems to simply construct a right... more

03/13/19

Basic Integration (math)

how can you integrate the integral of (ax+b)/(cx+d) dx ?

Is the Maclaurin series expansion of $\\sin x$ related to the inclusion-exclusion principle?

When I see the alternating signs in the infinite series expansion of $\\sin x$, I'm reminded of the inclusion-exclusion principle. Could there be any way to visualize it in such a way? Also, is... more

03/13/19

Geometry Proof - Thanks for any help!

A - In a chemistry lab you use a funnel to filter a liquid. The diameter of the funnel is 12 cm and its height is 12 cm. How much liquid will the funnel hold when it is full?B - The funnel has a... more

Find a prime factor of $7999973$ without a calculator?

How would you go about finding prime factors of a number like $7999973$? I have trivial knowledge about divisor-searching algorithms.

Divisiblilty & Prime Problems [GRE]?

If j is divisible by 12 and 10, is j divisible by 24? Answer by either saying yes, no, or Can't be determined. First I found the prime factors of both numbers (10: 5 * 2 and 12 : 3*2*2). Then I... more

Different definitions of trigonometric functions?

In school, we learn that sin is "opposite over hypotenuse" and cos is "adjacent over hypotenuse". Later on, we learn the power series definitions of sin and cos. How can one prove that these two... more

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