wothe resulting sides. Find the size of the corner square that will produce a box having the largestpossible volume.13. A metal cylin drical container with an open top is to hold 8 cubic foot. Find the dimensions thatrequire the least amount of material.14. Use the Extreme Value Theorem (EVT) to find the absolute maximum and absolute minimumvalues of the function f(x)= x+ cos 2x on the interval 0,15. Show that the function f(x)I+xsatisfies the hypotheses of the Mean Value Theorem on theI- xinterval-2,-1], and then find a number c in (-2,-1) that satisfies its conclusion.LUse Newton's Method to approximate the-zero if-f(x) 3+5x-3, aceurate tplaces17. A particle is moving with the given data. Find the position of the particle:a(t) sint + 3cost, s(0) = 0, v(0) = 2many

Question
Asked Nov 12, 2019
6 views

I need help understanding how to solve number 17. Thank you 

wo
the resulting sides. Find the size of the corner square that will produce a box having the largest
possible volume.
13. A metal cylin drical container with an open top is to hold 8 cubic foot. Find the dimensions that
require the least amount of material.
14. Use the Extreme Value Theorem (EVT) to find the absolute maximum and absolute minimum
values of the function f(x)= x+ cos 2x on the interval 0,
15. Show that the function f(x)
I+x
satisfies the hypotheses of the Mean Value Theorem on the
I- x
interval-2,-1], and then find a number c in (-2,-1) that satisfies its conclusion.
LUse Newton's Method to approximate the-zero if-f(x) 3+5x-3, aceurate t
places
17. A particle is moving with the given data. Find the position of the particle:
a(t) sint + 3cost, s(0) = 0, v(0) = 2
many
help_outline

Image Transcriptionclose

wo the resulting sides. Find the size of the corner square that will produce a box having the largest possible volume. 13. A metal cylin drical container with an open top is to hold 8 cubic foot. Find the dimensions that require the least amount of material. 14. Use the Extreme Value Theorem (EVT) to find the absolute maximum and absolute minimum values of the function f(x)= x+ cos 2x on the interval 0, 15. Show that the function f(x) I+x satisfies the hypotheses of the Mean Value Theorem on the I- x interval-2,-1], and then find a number c in (-2,-1) that satisfies its conclusion. LUse Newton's Method to approximate the-zero if-f(x) 3+5x-3, aceurate t places 17. A particle is moving with the given data. Find the position of the particle: a(t) sint + 3cost, s(0) = 0, v(0) = 2 many

fullscreen
check_circle

Expert Answer

Step 1

The following data is provided regarding the movement of a particle.

a(t)sint +3 cost (acceleration function)
s(0)0
v(0) 0
(position vector)
(velocity function)
help_outline

Image Transcriptionclose

a(t)sint +3 cost (acceleration function) s(0)0 v(0) 0 (position vector) (velocity function)

fullscreen
Step 2

Integrate the acceleration function to obtain the velocity function...

v (t)=(sint+3cost) dt
v(t)=-cost 3 sint+ C
v(0)-1C
(apply boundary condi tion)
2 1C
C 3
:. v(t)= -cost +3 sint +3
help_outline

Image Transcriptionclose

v (t)=(sint+3cost) dt v(t)=-cost 3 sint+ C v(0)-1C (apply boundary condi tion) 2 1C C 3 :. v(t)= -cost +3 sint +3

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Integration