Mathematics

Prove by mathematical induction that the summation of 1/(i^2), from i=1 to n, is (< or =) 2 - (1/n)

I started working with it (using n+1), but the algebra just doesnt seem to be coming together. Assistance would be greatly appreciated.-Base Case (n = 1): 1/1^2 = 1 = 2 - 1/1. Inductive Step: Assumin

Solve the following equations: sin(x - (π/6)) = 1/2 , 0 <= x <= 2π

a) sin(x - (π/6)) = 1/2 , 0 b) cos(2x) = -1/2 , 0 c) 2sin(3x) - √3 = 0 , 0 -only one question at a time. a) sin(x - (π/6)) = 1/2 since sin A = 1/2, then A = π/6, 5π/6 ==> x - π/6 =π/6 and 5π/6

How to solve the following homogeneous differential equation: (3x - 4y) + (2x - y)y' = 0

The final result must be: |y-?| = c|y+3x|^5-(3x - 4y) + (2x - y) y = 0 y = (4y - 3x) / (2x - y) . . . . . . . . [*] A differential y = f(x,y) is homogeneous if f(tx,ty) = f(x,y) f(x,y) = (4y - 3x) /

Is the vector in the kernel of A

Matrix A = |1 3 | |-2 -6| |-1 0 | Vector u = | 3| |-1| Determine if the vector u is in the kernel of A. Also... Vector v = |1| |2| |0| Determine if v is in the image of A I have a test tomor

Please help statistics problem thank you

a physics instructor gives his students a 10 point quiz, but due to a mix up the quiz contains questions about history not physics. since none of the physics students have studied history, each of the

Put this problem in standard form

x^2+y^2+10x+2y+1=0-If you mean put equation in form (x-a)^2+(y-b)^2 = r^2 where circle centre is (a, b) and radius = r (x+5)^2+(y+1)^2-25 =0

Co-ordinate Geometry Question

Vertices of quadrilateral ABCD: A(a;-3), B(4;5), C(-1;5), D(-2;1) Determine the value of a if the distance from A to B and A to D is the same.-AB = √[(4 - a)² + 8²] = √(a² - 8a + 80) AD = √[(-2 - a)²

Algebra 2 help !!!!!!!!!!

im really stuck on this question...if anyone can explain it i would really appreciate it!!!! write a polynomial function whose graph has the given x intercepts and has a leading coefficient of 1 (-3,

Please don't understand math. THANK YOU!!!! I just don't get it

9 Answer: Two numbers, 4 and a, have a geometric mean of 12.Find the value of a. 10 Answer: Two numbers, 3 and a, have a geometric mean of 9.Find the value of a. 15 Answer: Find the distance between t

If i resit maths C2 in A2 year, what effects will it have

Hey guys, i got C in C1 maths (AQA) in my january exam, and this is my first year in sixth form college. Im going to give C2 and D1 and also resitting C1 as i want an A. Unfortunately i was ill and co

Intermediate algebra problem help

Intermediate algebra problem help? I have been working on some homework questions for my college intermediate algebra class and am having troubles with some of the problems. Anyone who can help, I wou

What will be maclaurin series for x/sinx? please help :(

What is the maclaurin series for x/sinx and the maclaurin series for 2/sinx..-Start out with the Maclaurin series for sin(x): sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ... . Now, note that x/sin(x) is

H = -16tsquared + 8t +48

The diving board at a swimming pool is approximately 48 ft. above the water. the equation: h = -16tsquared + 8t +48 gives a divers approximate height: h, after t: seconds. About how long does it take

Linear Algebra Hermitian Proof

Can anyone please help me understand this problem? Im confused as to how to prove this, here is the problem: Let A and B be Hermitian matrices. Show that AB = BA if and only if AB is Hermitian.-Let A

Which is more like Algebra

Trigonometry or Pre-calculus? Which should I take after taking Algebra 2?-Probably pre-calc. Both topics introduce new ideas, and all the math after algebra will be based on a working knowledge of al