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Find the limit of the sequence

find the limit of the sequence whose terms are given by: an = [(1/(e^(4n) + n^2))]^(1/n)-We have: lim (n-->infinity) a_n = lim (n-->infinity) {1/[e^(4n) + n^2]}^(1/n) = lim (n-->infinity) 1/[e^(4n)

In a 30, 60, 90 triangle, if the shortest side is 3root3, what is the length of the second longest side

please explain how you got the answer Thank You!-side opposite to the shortest angle is the shortest side => side opposite to angle 30 is shortest = 3root3 => tan60 = x/(3root3).............where x

Can you please do this one math problem? i will give 10 pts

YOU MUST SHOW WORK 1.A rectangular poster has an area of 190in^2 The height of the poster is 1in less than twice its width. Find the dimensions of the poster.-h+1 = 2w hw = 190 2w - 1 = 190 / w w

How to solve inequalities..please help!!

2(x^3-2x^2+3) How can I solve this?? Please help!-2x^3 - 4x^2 + 6 Subtract x^3 - x from both sides: x^3 - 4x^2 + x + 6 For x=0, this is false.For large positive x, the x^3 term dominates, so its

How do i find the ratio of the volume of a cylinder

Okay, I dont know how to do this. My teacher is having us do this standardized test thing in our textbook when he hasnt taught us how to do the problems in it. He doesnt teach well at all, but anyways

How do you find the turning point for y=(2x-1)^3+1

How did the tp become (1/2, 1) Please explain Also how do you find the tp for this as well y= -3x^3 +1 Please explain properly thanks-To make learning math a bit easier for you, Dr. Pan (TucsonMathDo

How to integrate dx/(xln^3x)

∫dx/(x*ln^3(x)) u = ln(x) du = dx/ ∫u^(-3) du -1/2*(ln(x))^(-2) + C

Help with Economics Statistics question Please

I have been staring at the question for at least an hour now and have know idea howto do it, the answer is 0.444 but dont know how to get there, please help if you can! An economic consultancy has ex

If log x=a,log y=b,and log z=c then log x^2y[numertr]/sqrt of z[denom] is equivalent to?:

options: a.a^a+b-1/2c b.2ab-1/2c c.42a+b+1/2c d.2a+b-1/2c-d.2a+b-1/2c because: Hint 1: log(mn) = logm + logn Hint 2: log(m/n) = logm - logn Hint 3: log(m^n) = n logm Hint 4: √m = m^(1/2) A = log[x²y/

Please help me verify this identity? sect - cost/sect = sin²t

Remember these identities. sect = 1/cost sin²t = 1 - cos²t = (sect - cost) / sect = sect/sect - cost/sect = 1 - cost(cost) = 1 - cos²t = sin²t (Verified) Have a good day.-..sec(t) - cos(t) ---------

How to integrate (x^6-7x)^4

A = ∫(x^6-7x)^4dx A = ∫[(x^5-7)x]^4dx A = ∫(x^5-7)^4 x^4dx we take u = x^5-7 du = 5x^4 dx du/5 = x^4 dx hence: A = ∫(x^5-7)^4 x^4dx A = ∫(u)^4 du/5 A = 1/5 ∫u^4 du A = 1/5 [1/5u^5] + c : c is constan

Please help me verity this identity? sec(π/2 - u) = csc u

I think you can use one of the sum and difference identities formulas for this one-Sec(pi/2-u)= 1/cos(pi/2-u) 1/cos(pi/2-u) = 1/sin(u) 1/sin(u)= csc(u) Therefore, Sec(pi/2-u) = csc(u)-This is a speci

Calculus Sequences problem…10pts fo best answer

Calculate the sequences ..... help.. best answer = 10pts? Let c_n = 1/n + 1/n+1 +1/n+2+ . . . . + 1/2n. a.) calculate c_1, c_2, c_3, c_4. b.) Use a comparison of rectangles with the area under y=x^

Koch Snowflake infinit series… help please 10pts for best answer

The Koch snowflake is an infinitely jagged fractal curve obtained as a limit of polygonal curves (it is continuous but has no tangent line at any point). Begin with and equilateral Triangle (stage 0)

Please Help: How to solve log₇ (49x) with the instructions below

Use the product rule to expand the logarithmic expression. Evaluate logarithmic expressions.-log(base7) 49x = log(base7) 49 + log(base7) x = log(base7) 7^2 + log(base7) x = 2 log(base7) 7 + log(base7
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