jaedabugg

08.01.2020 •

Mathematics

An apple costs the same as 2 oranges. together, an orange and a banana coat 10 cents more than an apple. two oranges cost 15 cents more that a banana. what is the cost for one of each fruit

Solved

Show answers

Ответ:

am2garcia5

09.10.2021

Mathematics

13.5

Step-by-step explanation:

We are given that two curves and a line

y=x^2,x=y^2 about y=-6

$x=\sqrt{y}$

Height= $\sqrt{y}-y^2$

Radius=y-(-6)=y+6

Now, we find intersecting points of two curves

y=(y^2)^2

y=y^4

y^4-y=0

y(y^3-1)=0

y=0

y^3-1=0

$y^3=1\implies y=1$

Now, volume generated by rotating the region by using cylindrical shell method is given by

$V=\int_{a}^{b}2\pi(height)(radius)dy$

Using the formula

$V=\int_{0}^{1}2\pi(\sqrt{y}-y^2)(y+6)dy$

$V=\int_{0}^{1}2\pi(y^{\frac{3}{2}}+6\sqrt{y}-y^3-6y^2)dy$

$V=2\pi[\frac{2}{5}y^{\frac{5}{2}}+4y^{\frac{3}{2}}-\frac{1}{4}y^4-2y^3]^{1}_{0}$

$V=2\pi(\frac{2}{5}+4-\frac{1}{4}-2)$

V=13.5

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice