Mathematics

Evaluate the following integral by making the given substitution: ∫ ((dt) / ((1 - 6t)^4))

Evaluate the following integral by making the given substitution: ∫ ((dt) / ((1 - 6t)^4)) u= 1 - 6t Any and all help is much appreciated! Thanks so much in advance!-u = 1-6t du = 6dt ;dt = 1/6du

Quadratic Formula & Square Roots Help

Can you solve these? 1) 7c^(2) = 100 2) 5n^(2) - 17 = -19 these next few involve the quadratic formula 3) 6x^(2) - 2x - 28 = 0 4) -2x^(2) + 5 = 3x^(2) - 10x 5) 3x^(2) - 4 = 11x-1) 7c² = 100 Divide bot

Find the third degree polynomial for f(x) = sec x around x=pi/4

i did this and got this 0 --> sec x 1 -->(sec x)(tan x) 2 -->(sec x)^3 + (sec x)(tan x)^2 3 -->(sec x) (tan x) ( 5 sec^2 x + tan^2 x) when i plugged in pi/4 in them i didnt really see a pattern. i c

Solve 2z – 7 = 31 for “z

z??-Inverse operations again. Undo the -7 on both sides by adding 7 to both sides. Leaves you with 2z=38. Undo the multiplied by 2 by dividing by 2. That leaves you with z=19-Add 7 to both sides, divi

CALCULUS: If dy/dx = (y)(sec x)^2 and y=5 when x=0 then y = .....

IF dy/dx = (y)(sec x)^2 and y=5 when x=0 then y = .....??? Thank you!-dy/dx = y sec^2 x dy/y = sec^2 x dx ln y = tan x + C ln 5 = tan 0 + C = C ln y = tan x + ln 5 ln y - ln 5 = tan x ln (y/5) = tan

Antiderivative of (cosx+sinx)^2

Once multipled out, you get cos^2x + 2sinxcosx + sin^2x, simplify that you get 2sinxcosx +1 then the anti of that is - 1/2cos2x - x Is this the right way of doing it?-Yes you are doing it properly,

How do i do this surd question? 3√40+6√90

please help Im not good at surds-This problem is just like doing fractions.You have to have a common radical like you have to have a common denominator. 3√40+6√90 √(40) √(2*20) √(2*5*4) √(2*5*2*2) 2

I need help with a math problem!!!

Find the area of the triangle whose sides have the given lengths. (Round your answer to two decimal places.) a = 7, b = 5, c = 5 the answer is in units^2-You have an isosceles triangle, therefore yo

Now this is confusing :(

1) the height, h metres, of a model rocket above the ground t seconds after launching is given by the equation h= 4t(50-t) for 0 a) sketch the graph of the rockets flight. b) find the height of the r

Find the center, vertices, foci, & asymptotes of the hyperbola

x^2-y^2-2x+6y-9=0 & 64y^2-36x^2-512y-360x-2180=0 & one more... 9y^2-16x^2-54y-128x-31=0-These are all similar in solution, so I will do the middle one, and you should be able to do the others in a

Maths question 2- related to time and work.

Two women, Ganga and Saraswati, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternately, Ganga beginning at 9 a.m., when will the mowing be

What is the limit of the series with n=1 to ∞ Σ1/n^4+4

To obtain the closed form for this series, one can use the Residue Theorem as follows: Σ(-∞ to ∞) f(n) = - [sum of the residues of all poles of π cot(πz) f(z) at all poles of f(z)]. (This is usually

I need help finding the margin of error in my statistics class.

Find the margin of error.99% confidence interval; n=201; x-bar=395; s=46 A.12.2B.10.3C.15.7D.13.5-99% confidence interval is x-bar +/- Margin of error Margin of error = z-score or critical value for 9

Solve the rational inequality

Express the solution in interval notation? 4x - 8/x - 4 I know the answer is (-4, 4). Can someone tell me how they got it?-Mistake: it should be (4x-8)/(x-4) (4x-8)/(x-4) (4x-8)/(x-4)-3 (x+4)/(x-

How do you find x in this logarithm equation

hello log_3(3^x - 8) = 2 - x thank you-See hand written solution at URL below.