Mathematics

How do you find the integration limits of this triple integral

The function to integrate is f(x,y,z)=xy^2z^3 over the region limited by the surface z=xy and the planes y=x, x=1 and z=0. Can you explain how to find the integration limits for each of the three int

Trigonometry Problems? May someone help explain how to solve these problems

` May someone help explain how to solve these problems? Thank you. Find the number of degrees in acute angle B: a) sin 4b = cos 5b b) cot (2b - 30) = tan (3b + 20) c) tan(2b = 10) = 1/cot (b+30)-a)u

Intergration by substitution

solve using above method: sin*6/y/y^3 i am not sure how to do this-I think you were trying to write: sin(6/y) / y^3, if so let u = 6 / y, then du = -6 / y^2 dy then sin(6/y) / y^3 dy becomes -sin(

If f(x) = x^2 − 7x, please help find f(a − 4), and f(a + h)

Evaluate the function for the given values. If f(x) = x^2 − 7x, find f(a − 4), and f(a + h). I was stuck at this problem, please help and thank you!-You just replace (a - 4) in every x in the equatio

Equations for lines..help!!

1)Write down an equation for the line through (2;-1) and (-3; 3) 2) Write down an equation for the line which contains the point (-2; 4) which is: (a) perpendicular to the line y = 2x + 3. (b) parall

Can someone help with this Statistics problem

In a jar, there are ten marbles, of which four are numbered 1, three are numbered 2, two are numbered 3, and one is numbered 4. Seven marbles are drawn at random, one after another and with replacemen

Find the next 3 terms of this sequence given both the first term and the recursive formula

U1 = 2, Un+1 = 3Un - 4 I got, 2, 2, 2 for the next 3 terms and the answers say -24, -76, -232. Am I right or are they wrong?-If U1 = - 20/3, then it would produce-24, -76, -232. So it looks like the

Find the inverse of the following matrix:

A = [ 34 ] [ 12 ] I dont know what to do need a bit of help, thanks-det(A) = 6 - 4 = 2 Acof = [ 2 -1 ] [ -4 3 ] Acof = [ 2 -4 ] [ -1 3 ] A^-1 = [ 2 -4 ] [ -1 3 ]*(1/2) [ 1 -2 ] [ -1/2 3/2 ]

I can't do this equation! Prove that (cot⁡θcos⁡θ)/(cot⁡θ+cos⁡θ) = (cos⁡θ)/(1+sin⁡θ)

Im doing revision for school but Im stuck on this question. I cant figure it out at all. I think it has something to do with trigonometric identities. Maybe someone else will know what to do? Prove

Maths help geometry :D

The chord of a circle is 15 cm away from the center.The radius of the circle is 25cm.Find the length of the chord.-> 25² =15² + x²; ; it forms a right triangle x² = 25² - 15²; x² = 400 ; x=20cm

Sin(x)+sin(x/2)=0 Solve the equation for 0'<=x<=360'

= degrees pease explain how to do this-x+x/2=90 2x +x = 180 3x = 180 x=60-Well if you are graphing (360 = 2pi) then it should be just a normal sine graph that is shifted to the left by sin(x/2) =Sin

Evaluate the integral. sqrt(9+e^x)

∫√(9 + e^(x)) dx u = √(9 + e^(x)) ln(u² - 9) = x 2u/(u² - 9) du = dx ∫2u²/(u² - 9) du ∫(2u² - 18 + 18)/(u² - 9) du ∫2 du + 3*∫(1/(u - 3) - 1/(u + 3)) du 2u + 3*ln|(u - 3)/(u + 3)| + C 2√(9 + e

Intergration by parts

use intergration by parts to solve:lnz/z^2-∫ ln z dz/z^2 Let u = ln z and dv = dz/z^2 then du = dz/z and v = -1/z - ln z/z + ∫ dz/z^2 = - ln z/z - 1/z + C BTW, the word is integration, not intergra

System of equation with 3 variables

The teacher said the answer is (1,2,-4) but i dont understand how and he gave out the answer as the bell rang. Heres the problem -x-6y-z=-9 x+6y+2z=5 x-6y-2z=-3 I can get one new equation using the

Data Management easy fruit juice question

To make fruit juice, you buy apples, oranges, grapes, watermelon, lemons, pears, and bananas. How many different types of juice can you make if... a) you choose any 3 types of fruit? b) you choose any