Mathematics

How do you integrate this

integral (xe^(2x) / (2x+1)^2)-To integrate ∫ x*e^(2x)/(2x + 1)^2 dx, note that: ∫ x*e^(2x)/(2x + 1)^2 dx = 1/2 ∫ 2x*e^(2x)/(2x + 1)^2 dx = 1/2 ∫ [(2x + 1) - 1]e^(2x)/(2x + 1)^2 dx = 1/2 ∫ [1/(2x + 1)

In an arithmetic sequence the first term is -4 and the 29th term is 164. Find d

3456-Use the formula for the nth term of an arithmetic sequence. a(n) = a1 + (n - 1)(d) [a(n) - a1]/[n - 1] = d [164 - (-4)] / [29 - 1] = d 168 / 28 = d 6 = d (Answer) Have a good day.

Can someone help me with some Algebra

A rectangle is 4 times as long as it is Wide. A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 530 square centimeters greater than

Solve tan^2 x = 1/3 for pi/2 < x < pi

please help. show full working pls.-Solve Tan²(x) = 1/3 for π/2 ∴ √[Tan²(x)] = 1/3 So Tan(x) = ±√[1/3] For Tan(x) = √[1/3] or x = ArcTan(√[1/3]) = π/6 ± nπ or x = ArcTan(-√[1/3]) = -π/6 ± nπ, whe

What is the probability that two people in your class of 30 share the same birthday

The chances that all the birthdays are different: 365! / ((365 - 30)! × 365^30) = 365! / (335! × 365^30) =~ 0.293683757280731 =~ 29.3683757280731% Therefore, the odds that ANY TWO BIRTHDAYS ARE THE

Calculus Help! lim x--->0 sin(3x) / (√2)x+tan(x) =.....

= 3(-1 + √2). thats the answer, I just need to know how to do the steps. thanks in advance!!-lim x--->0 sin(3x) / (√2)x+tan(x) ) = 3 / (√2)+1 ) = 3((√2) -1 ) --------- Ideas: As x-->0, sin(3x) ~ 3x,

Need help plz:) Elimination method

Help withelimination Method Plz? :)? 4x+6y=-24 -7+6y=9how do i do this and put the answer in a ordered pair Any help please ?? :) and thank you-The elimination method is a fun one. Youre using the top

Calculus Help! lim x-->infinity (x+3)/((√2x^2-7))

= (√2)/2. thats the answer, I just need to know how to do the steps. thanks in advance!!-(x + 3) / (√(2x^2 - 7)) As x -> ∞, your equation will start to look like this: (Very large number + 3) / (Ve

Is this an experiment

Cancer of the colon and rectum is less common in the Mediterranean region than in other Western countries. The Mediterranean diet contains little animal fat and lots of olive oil. Italian researchers

Need Help with equations?? Any Help Plz :)

I need help on how to do these 3y=6x-18 7y=6x+6 How would i do this and put the answer in an ordered pair-To do this, you would use elimination, which you may or may not have learned yet. For neatnes

Percentiles: Can't figure out how to do this problem!

Question is: The average national SAT score is 1019. If we assume a bell-shaped distribution and a standard deviation of 110, what percentage of scores will fall above 799? All I know is that it pro

How to factor this Polynomial

4x^3 - 18x^2 + 32 = 0, and than find the roots, thanks.-...then you will be happy ? 4x^3 - 18x^2 + 32 = 0 common factor of 2... 2x^3 - 9x^2 + 16 = 0 [rational root theorem] f(4) = 0, so (x - 4) i

Math question Is this the right way

Before I turn in this assignment for math, I want to understand all of this first. A pack of wolves traveled 15 mi east and 10 mi north. Find the distance from their point of origin to their destinati

F'(x) = 12(x)(arctan (e ^ (2x))) @ ( (1/4)(ln3) , pi (ln3) )

Determine the slope of the tangent line to the graph of f(x) = 12x * arctan (e ^ (2x)) at ( 1\4 ln (3 , pi ln (3) ) without using a calculator I get f(1/4 ln3) = 12arctan ( e^ (ln3 / 2)) + (12ln3e

The equation of normal to the parabola y^2=8x having slope 1 is

1.x+y+6=0 2.x-y-6=0 3.x-y+6=0 4.x+y-6=0-the equation of the normal to the parabola y^2=4ax with slope m is y=mx-2am-am^3 Here,a=2 (4a=8) and m=1 therefore the required normal is y=1.x-4.1-2(1)^3 x-y-6