Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

junior college 2 | H2 Maths
2 Answers Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
Greg
Greg

junior college 2 chevron_right H2 Maths chevron_right Singapore

I need to submit this really urgently can anyone help:(

Date Posted: 4 years ago
Views: 603
J
J
4 years ago
Find the point of intersection first.

x³ = √x

x^6 = x

x^6 - x = 0

x(x^5 - 1) = 0

x = 0 or x^5 = 1

x = 0 or x = 1^(1/5) = 1
J
J
4 years ago
Area of R

= ∫¹0 (√x - x³) dx

= ∫¹0 (x^½ - x³) dx

= [ ⅔ x³/² - ¼x⁴]¹0

= ⅔(1)³/² - ¼(1)⁴

= ⅔ - ¼

= 5/12
J
J
4 years ago
Volume of revolution around y axis :

For y = √x
y² = x
x² = y⁴


For y = x³
x = y^⅓
x² = y^⅔

when x = 1, y = 1³ = 1

So the point of intersection is (1,1)


volume of revolution : π ∫ x² dy


= π ∫¹0 y^⅔ dy - π ∫¹0 y⁴ dy

= π ∫¹0 (y^⅔ - y⁴) dy

= π [3/5 y^(5/3) - 1/5 y^5]¹0

= π ( 3/5 (1)^(5/3) - 1/5 (1)^5 )

= π (3/5 - 1/5)

= 2/5 π

See 2 Answers

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Lin Jia Liang
Lin Jia Liang's answer
124 answers (A Helpful Person)
1st
Part one.
done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Lin Jia Liang
Lin Jia Liang's answer
124 answers (A Helpful Person)
Part two.