Mathematics: Farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a mathematician, she suggests building fences described by y=6x2 and y=x2+2. farmer jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to his wife. what is the area of the enclosed region?

Farmer jones, and his wife, dr. jones, decide to

Ответ:

krystenlitten

13.03.2022

Mathematics

$\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2 = $\frac{2}{5}$

x= $\pm \sqrt{\frac{2}{5}}$

area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$

A= $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

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Ответ:

kalbaugh

17.03.2020

Mathematics

At the time that Han reaches the lake and starts to turn back, Jada is 0.6 miles away from the parking lot and hiking at a constant speed of 3.2 miles per hour towards the lake. Han's distance, d, from the parking lot can be expressed as d = -2.41+ 4.8, where i represents the time in hours since he left the lake. 1. What is an equation for Jada's distance from the parking lot as she heads toward the lake?

thankew 人(◕ᴗ◕✿)❤️

to all who liked my answers

pl flw

can anyone pls flw me who aren't flwing

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