Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

hi! can you please help me out with these problems? (1 point) The region bounded by y = e*, y = 0, x = -2,

hi! can you please help me out with these problems?

image text in transcribedimage text in transcribedimage text in transcribed
(1 point) The region bounded by y = e"*, y = 0, x = -2, x = -1 is rotated around the x-axis. Find the volume. volume =Consider a circular cone of radius 3 and height 5, which we view horizontally as pictured below. Our goal in this activity is to use a definite integral to determine the volume of the cone. y = f(x) Ax (a) Find a formula for the linear function y = f(x) that is pictured above. f (x) = (b) For the representative slice of thickness /x that is located horizontally at a location x (somewhere between x = 0 and x = 5), what is the radius r of the representative slice? Note that the radius depends on the value of x. (c) What is the volume Islice (x) of the representative slice you found in (b)? (Use D as the value for / x ) V slice (x) =V slice (x) = (d) What definite integral " h(x) dx will sum the volumes of the thin slices across the full horizontal span of the cone? 0= b = h(x) = What is the exact value of this definite integral? Sa h(x) dx = (e) Compare the result of your work in (d) to the volume of the cone that comes from using the formula Voone = = arzh.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Making Hard Decisions with decision tools

Authors: Robert Clemen, Terence Reilly

3rd edition

538797576, 978-0538797573

More Books

Students also viewed these Mathematics questions

Question

How is a purchase return recorded in a perpetual system?

Answered: 1 week ago