Mike "Wuzzy121". Rest in peace, brother

Go Back   Tacoma World Forums > Off-Topic > Off-Topic Discussion

Notices

Need Help On Calculus

Reply
 
Thread Tools Search this Thread
Old 08-27-2013, 08:10 PM   #1
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Need Help On Calculus

Just got back to school yesterday and working on my homework. Unfortunately my professor doesn't explain things too well so I am stuck on what to do.

Can anybody help?

I've attached the problems. So far I did the first two problems and got 0 and -2 as answers.
Attached Files
File Type: pdf 01h.pdf (11.7 KB, 152 views)
  Reply With Quote
Old 08-27-2013, 08:23 PM   #2
Senior Member
drunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the sheddrunktaco is one of the sharper tools in the shed
Name: Sage
Joined: Aug 2012, #85509
Location: Southwest Va
Age: 23
Gender: Male
Posts: 1,581
drunktaco's Tacoma Gallery
Uhhhh 12? Bump
  Reply With Quote
Old 08-27-2013, 08:27 PM   #3
Senior Member
Nixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shedNixinus is one of the sharper tools in the shed
 
Nixinus's Avatar
Joined: Jan 2011, #49100
Location: Los Angeles
Gender: Male
Posts: 780
Nixinus's Tacoma Gallery
You are correct for the first two.
  Reply With Quote
Old 08-27-2013, 08:28 PM   #4
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
I found online that the equation for the tangent to the curve at point (1,4) is...

y=6-2x

But I don't know how to get that.
  Reply With Quote
Old 08-27-2013, 08:29 PM   #5
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Quote:
Originally Posted by Nixinus View Post
You are correct for the first two.
Thanks! Good to know I did the easy part right haha
  Reply With Quote
Old 08-27-2013, 08:36 PM   #6
Lord of War
KenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shed
 
KenLyns's Avatar
Joined: May 2010, #37674
Location: Belly of the Beast
Age: 31
Gender: Guy
Posts: 18,567
KenLyns's Tacoma Gallery
For 10(a), derivative is -2x

At (1,4), x = 1, so slope is -2(1) = -2

Tangent line's slope is also -2, so y = -2x+b.

Sub in (1,4) for x,y: 4 = -2(1)+b >>> b = 6

Tangent line is therefore y = -2x + 6
  Reply With Quote
Old 08-27-2013, 08:41 PM   #7
RAT Products
isu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shed
 
isu2014's Avatar
Name: Ryan
Joined: Apr 2010, #35140
Location: Ames, IA
Age: 23
Gender: Dude
Posts: 11,786
isu2014's Tacoma Gallery
^ winner winner, someone get this man some chicken for dinner.
  Reply With Quote
Old 08-27-2013, 08:42 PM   #8
Senior Member
99tacosupreme has a spectacular aura about99tacosupreme has a spectacular aura about
 
99tacosupreme's Avatar
Name: Kyle
Joined: Mar 2010, #33079
Location: Southern California
Gender: Male
Posts: 231
99tacosupreme's Tacoma Gallery
Using the chain rule you find that y'=-2x and which tells you the slope at point (1,4) is y'(1)=-2. Now that you have the slope and the point which the line goes through (1,4) you can use point slope form to get the equation of your tangent line.

edit: ^^Looks like I just got beat
  Reply With Quote
Old 08-27-2013, 08:43 PM   #9
Senior Member
kws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shedkws129 is one of the sharper tools in the shed
 
kws129's Avatar
Joined: Jan 2009, #12880
Location: PA
Gender: Male
Posts: 239
kws129's Tacoma Gallery
average rate of change for a function is:

{f(b) - f(a)}/(b-a)

so for the first problem it woulb be

(1^2) - (-1^2) / (-1-1) = 0
  Reply With Quote
Old 08-27-2013, 08:44 PM   #10
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Quote:
Originally Posted by KenLyns View Post
For 10(a), derivative is -2x

At (1,4), x = 1, so slope is -2(1) = -2

Tangent line's slope is also -2, so y = -2x+b.

Sub in (1,4) for x,y: 4 = -2(1)+b >>> b = 6

Tangent line is therefore y = -2x + 6
How did you find the derivative? I've been trying to get that.
  Reply With Quote
Old 08-27-2013, 09:05 PM   #11
Lord of War
KenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shed
 
KenLyns's Avatar
Joined: May 2010, #37674
Location: Belly of the Beast
Age: 31
Gender: Guy
Posts: 18,567
KenLyns's Tacoma Gallery
Multiply the x's coefficient with the exponent, reduce the exponent by 1.

-x^2's derivative is therefore -2x^1
  Reply With Quote
Old 08-27-2013, 09:09 PM   #12
Got Beer?
BeerHat will become famous soon enoughBeerHat will become famous soon enough
 
BeerHat's Avatar
Joined: Apr 2010, #36207
Location: TX
Gender: Male
Posts: 126
BeerHat's Tacoma Gallery
Quote:
Originally Posted by HawaiiTRD View Post
I found online that the equation for the tangent to the curve at point (1,4) is...

y=6-2x

But I don't know how to get that.
I can't see attachment but is the starting eq f (x):= -x^2 +5? If so slope is derivative: -2x and at point x:=1 then m:= -2. Use point slope formula y-y1=m (x-x1) and fill in the blanks(x1, y1) and solve for y.
  Reply With Quote
Old 08-27-2013, 09:09 PM   #13
Senior Member
wileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shed
 
wileyC's Avatar
Joined: Oct 2011, #65685
Location: Centerville, OH
Gender: Male
Posts: 2,852
wileyC's Tacoma Gallery
dy/dx = -2 ...the slope is a constant...
  Reply With Quote
Old 08-27-2013, 09:15 PM   #14
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Here's my answers for the last problem (number 12) using the great info you guys game me...

(a) f'(x) = 2(x-2)
f'(1) = -2

(b) y-(-3) = -2(x-1)
y+3 = -2x+2
y = -2x-1

How's it look?
  Reply With Quote
Old 08-27-2013, 09:26 PM   #15
Senior Member
wileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shedwileyC is one of the sharper tools in the shed
 
wileyC's Avatar
Joined: Oct 2011, #65685
Location: Centerville, OH
Gender: Male
Posts: 2,852
wileyC's Tacoma Gallery
Quote:
Originally Posted by HawaiiTRD View Post
Here's my answers for the last problem (number 12) using the great info you guys game me...

(a) f'(x) = 2(x-2)
f'(1) = -2

(b) y-(-3) = -2(x-1)
y+3 = -2x+2
y = -2x-1

How's it look?
looks right to me HI TRD, ....ready for us to start assigning some problems to solve?
  Reply With Quote
Old 08-27-2013, 09:26 PM   #16
Lord of War
KenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shedKenLyns is one of the sharper tools in the shed
 
KenLyns's Avatar
Joined: May 2010, #37674
Location: Belly of the Beast
Age: 31
Gender: Guy
Posts: 18,567
KenLyns's Tacoma Gallery
You guys start school before Labor Day? Interesting.
  Reply With Quote
Old 08-27-2013, 09:30 PM   #18
RAT Products
isu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shedisu2014 is one of the sharper tools in the shed
 
isu2014's Avatar
Name: Ryan
Joined: Apr 2010, #35140
Location: Ames, IA
Age: 23
Gender: Dude
Posts: 11,786
isu2014's Tacoma Gallery
Quote:
Originally Posted by KenLyns View Post
You guys start school before Labor Day? Interesting.
School started on Monday for us. It usually starts a week earlier.
  Reply With Quote
Old 08-27-2013, 09:34 PM   #19
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Quote:
Originally Posted by wileyC View Post
looks right to me HI TRD, ....ready for us to start assigning some problems to solve?
Haha thanks! I think I have enough to keep me busy

Quote:
Originally Posted by KenLyns View Post
You guys start school before Labor Day? Interesting.
Yah yesterday was the first day. I didn't even realize Labor Day is next Monday.
  Reply With Quote
Old 08-27-2013, 09:37 PM   #20
HawaiiTRD [OP] HawaiiTRD is offline
"Some people feel the rain, others just get wet"
HawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shedHawaiiTRD is one of the sharper tools in the shed
 
HawaiiTRD's Avatar
Name: Chris
Joined: Mar 2012, #75045
Location: Hawaii
Age: 24
Gender: Dude
Posts: 334
HawaiiTRD's Tacoma Gallery
Big Mahalo to everyone for helping me out!

I'm sure I will be posting more problems here as the semester goes on, so please stay sub'd
  Reply With Quote
Reply

Thread Tools Search this Thread
Search this Thread:

Advanced Search

Similar Threads
Thread Thread Starter Forum Replies Last Post
Help needed for some calculus Work!!! tacomathunder Off-Topic Discussion 31 08-08-2013 10:01 AM
Anyone good at multivariable calculus? jdkeller Off-Topic Discussion 17 03-09-2011 09:31 PM
2nd Gen Help! Calculus Homework xSpyderguyx Off-Topic Discussion 24 10-25-2010 10:52 AM


Copyright © 2014 Tacoma Forum. Tacoma World is not owned by, or affiliated with Toyota Motor Corporation.