# left

2. ### Find the angle on the left

I have two lines I need to calculate the angel between these lines. using the following formula I can calculate the acute angle. however I sometimes I want the obtuse angle 180- the above equation will get me that. The angle I want is always on the right sometimes its the acute one some times...
3. ### Need Help! Have to submit my last assinment for this semester today, 3 left

1) Prove If x^2+3xy+1 is a prime number, so is x+y an odd number 2) if 6^n - 1 is primenumber, n is oddnumber 3) Y(n) - SY(n-1)+6Y(n-2)=(4x3^n) , Yo= 13 and Y1=71. Thanks in advance :)
4. ### Left Endpoint Reimann Sum Example - # 2

Formulas: summation with i = 1 and n (change in x)[(a + (i)(change in x) - (change in x)] Change in x = b - a / n f(x) = \int_{2}^{14} 1 - \dfrac{1}{2}(x) dx using 6 left endpoints (round to 4 decimal places) Find area using Reimann sums Change in x = 14 - 2 / 6 = 2 2[[f(2 + (1)(2) -...
5. ### Left Endpoint Reimann Sum Example

Formulas: summation with i = 1 and n (change in x)[(a + (i)(change in x) - (change in x)] Change in x = b - a / n = ]2\pi f(x) = \int_{0}^{\pi/2} 10 \cos(x) dx using left endpoints (round to 4 decimal places) Change in x = \pi/2 - 0 / 4 = ]2\pi 2\pi[[f(0 + (1)(2\pi) - (2\pi)]]+ [f(0 +...
6. ### Left and right inverse

Dear teachers. Can I ask some questions? f(x)= root(x-1) when x >= 1 and 1 - x, when x < 1. (1) Does f have a left inverse or right inverse? if yes in either case, find it. I guess this is not both injective and surjective, so did not know what types of inverse it has. So, I just answered...
7. ### right and left inverse

Dear all can I ask how I can solve f(x) = x+1 if x < 0 , x^2 - 1 if x >=0. State f is injective, surjective or bijective. Write down tow different inverses of the appropriate kind for f. I can draw the graph. and know what surjective and injective. but how can I solve it? The answer says it...
8. ### May I have a question about left and right inverse?

Dear everyone. I am really sorry. Could you help me out? 1. Consider the function f : R -> R defined by f(x) = x^2 + 2 if x > 0 and x + 1 if x <= 0. Find a left inverse of f. 2. Consider the function f : R -> R defined by f(x) = x^2 - 2 if x > 0, x - 1 if x <= 0. Find a right inverse of f...
9. ### Help with left hand Riemann sum?

I have this Riemann sum question: and I thought I knew how to do the left hand riemann sum but now I'm unsure. Basically I've used it before but when I try to with these points I'm just getting really confused because they're all under the x-axis. I had to kind of do it upside down. My answer...
10. ### Left and Right inverse

Dear everyone. I am really sorry. Could you help me out? 1. Consider the function f : R -> R defined by f(x) = x^2 + 2 if x > 0 and x + 1 if x <= 0. Find a left inverse of f. 2. Consider the function f : R -> R defined by f(x) = x^2 - 2 if x > 0, x - 1 if x <= 0. Find a right inverse of f...
11. ### Kernal of the left regular action

The left regular action is defined as follows: Let G be a group and A = G (as sets.) Define \phi : G \times A \to A: g \cdot a \mapsto ga where g is any element of G and a is any element of A. ga is calculated using the group operation in G. The question is to find ker( \phi ). The kernal...
12. ### not got much time left

if a battery has a capacity of 2510mAh and it draws a current of 1.53mA how long will it take before the battery either has be replaced or recharged answer in scientific notation please
13. ### unit normal-help and calculus..about 1.5days left till exam.!!asap!

Hi This is the question I have been working on. Could someone tell me how to find the unit normal for the slanted plane.thanks. Could someone also tell me what the unit normal is for each type of surface. Stokes' Theorem to Evaluate a Line Integral Evaluate for F(x, y, z) = -y...
14. ### laplace equation in lower left quarter

Dears I many refernces of PDEs, we found a fomula solution for laplace equation in the upper half plane or in the right quarter plane, but unfortenatly I did not found a formula for lower left quarteror any method for derived it, Any one has hints about this? in fact my question is part b. in...
15. ### Cyclic subgroup and left coset question

Hi, I have a question that I am not sure how to work out: Let H be the cyclic subgroup generated by g= ( 1 2 3) ( 1 3 2) Find all left cosets of S3 modulo H. Am i correct in that there will be two distinct left cosets, and if so...

I've been struggling on this one for hours so if someone could help me I would really really appreciate it! Let f be a bounded function on [a,b]. Show that the function defined by m(x) = inf{f(w):w in [a,x)} is continuous from the left on (a,b). I'm really looking forward to seeing your...
17. ### Left and right endpoints

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. f(x) = cos(x), (0, \frac{\pi}{2}), 4 rectangles Plese check for me where I'm wrong the width of each...
18. ### Abstract Algebra (left cosets)

Suppose that H is a Normal Subgroup of G . a, b in G. Prove that (aH)(bH)=abH
19. ### Proof that square matrix has left inverse if and only if it has right inverse

Greetings, This question is a some kind of repost of this topic. http://mathhelpforum.com/advanced-algebra/216578-not-so-easy-question-least-i-hope-about-matrix-inverse.html#post779842 Most beginner-level texts on linear algebra take this for granted and define invertible matrix A as a...
20. ### Left and right cosets (modern Algebra)

Let H be a subgroup of G, and let S={left cosets of H in G}, and T={Right cosets of H in G}. Now Define f: S-->T, by the following function f(aH)=H(a^-1) Prove that f is well define!!! All I know is "A well defined set is that if aH = bH then f(aH) = f(bH)" Please...