involving

1. Definite Integral involving Complete Elliptic Integral

Is anyone aware if there is an analytical solution to: ${\displaystyle \int_{a}^{b}} K(k)\; dk$ And: ${\displaystyle \int_{a}^{b}} E(k)\; dk$ where K and E are complete elliptic integrals of the first and second kind, with modulus k, and in both cases: 0â‰¤a<bâ‰¤1 I've found these in...
2. Probability involving even numbers

If 1\leq p \leq n \; ; n\in \mathbb{N} . find the probability such that p is even number. My approach : P(p-even)=n^{-1}\lfloor \frac{n}{2} \rfloor .
3. Problem involving analytic expressions

Given 3 random numbers x,y,z \in \mathbb{R}\;: (a) Find the number that is bounded by the two other numbers. Express it in terms of a function like \phi (x,y,z). (b) Express the largest number in terms of \phi(x,y,z).
4. Probability involving square numbers

Let n\leq 111 \: , n\in \mathbb{N} . Find the probability such that n is a square-number and odd . P(n=N^{2} )=?
5. Problem involving circumferences and trapazoids

Hi my name is Ed and have a problem involving circumferences and trapazoids which I need some help in solving. In the diagram I've including are two trapazoids with circles inside of them. The distance from a to b is equal to 33.8 meters, from b to c is equal to 23.96 meters and from c to d is...
6. How to simplify this expression involving a tangent of 70?

My situation is as follows. Can the expression from below be simplified using precalculus and plain by hand calculation without requiring a calculator? $$B=\sqrt{3} \tan 70^{\circ}- 4 \sin 70^{\circ}+1$$ What I attempted to do was to split the functions in a sum of $30^{\circ}+40^{\circ}$...
7. Probability involving geometry

What is the probability such that a rectangle is a square ?
8. Problem involving a unit circle and two other coordinates

I have a little problem that I hope the community would be able to assist me with. I have a unit circle and inside that unit circle I have a point (A), outside that unit circle I have another point (B). Is there a way to find the coordinates of the point that intersects the radius of the unit...
9. Feedback for an answer involving Span, Dimension and Linear Independence

Hi guys, I have worked out an answer to the following question, but it's stretching my understanding of Linear Algebra to the limit, soâ€¦ if anybody could have a look at it, and just tell me whether my reasoning is sound, it would be a great help... Let v_1,â€¦,v_k,u,w be vectors in the...

11. Doubts involving integrals from linear function

Hello everyone how it's going? I just registered my account and later I'll introduce myself, okay? Please comment below in case of any English error. So let's get started... I did almost all exercises involving this subject. Can I upload the images of related exercises or I really must to...
12. simultaneous equations involving cosine

Could anyone help with solving these two simultaneous equations to obtain k=2\sin(B/2) ? \cos(AB) - \cos[(A-1)B] + k = 0 B = Ï€(2k-1)/(2A-1)
13. How to find the least number of objects in a problem involving profits?

The problem is as follows: In an electronics factory, the owner calculates that the cost to produce his new model of portable TV is $26$ dollars. After meeting with the distributors, he agrees the sale price for his new product to be $25$ dollars each and additionally $8%$ more for each TV...
14. How do I find the number of elements in a problem involving least common multiples?

I'm not sure if least common multiples applies to this problem. Over a table there is a certain number of muffins. If we count them by multiples of four the remainder is three. If we count them by multiples of six the remainder is five. If we count them by multiples of ten the remainder is...
15. How to solve this problem involving intersecting lines and angles?

The following problem might be too elementary for many of you but for me is not very obvious, and therefore I would really appreciate in the proposed answer it can be included a reworked diagram showing the why's and how's. I know drawing can be tedious specially in geometry. In this figure...
16. How to solve this problem involving friction?

The problem is as follows: In the figure shown, Calculate the Force labeled as $F$ which must be applied to the wooden block $B$ whose mass is $10\textrm{ kg}$ thus it would not slide over the wall. The friction coefficient in the surface is $\frac{1}{3}$ and gravity acceleration is...
17. concerning infinity as the limit involving square roots in the function

Dear MyMathForum Community: In using some notation from the Pascal programming language, As x --> infinity, sqrt(x + 1) / sqrt(4x - 1) = 1/2. Why is this true?:)
18. Concerning a limit involving sin(x)

Dear MyMathForum Community: According to the textbook I am using, the limit as x --> 0 of sin(x)/x =1. What would be an acceptable proof for this? Thank you.:)
19. limit involving trig

Hi Guys, I am trying to find the best way to solve this limit. I know that it is undefined. $$\lim_{x\to\infty}\frac{\tan 8x}{x+\sin 3x}$$ I tried L'HÃ´pital, but am getting stuck. Thanks.
20. questions involving double angles

Hello everyone... again :) I've been given a couple of questions and I have no flipping idea how to do them. The teacher has been over double angle identities with us but the following questions have left me stumped, even with all my notes and textbook out. so here it is: Solve the equation...