Abigail Chase
3/17/2016 12:40:08 pm
Parametric equations can be used to describe motion that is not a function.
Shreyas Mohan
3/17/2016 04:03:10 pm
Length (arc length) of a smooth parametrized Curve: 3/17/2016 09:09:58 pm
Vectors have both a magnitude (scalar quantity) and direction <u,v> or <i,j>
Taylor Garcia
3/17/2016 10:10:55 pm
a parametrized curve x = f(t), y = g(t) where a = t <= b has a derivative at t = t_0 if f(t) and g(t) have derivatives at t = t_0
Elise T
3/18/2016 08:10:38 am
Find the surface area for parametrized curves:
Nathan Rao
3/18/2016 08:49:26 am
Section 10.1 Exercise #1
Abigail Chase
3/18/2016 10:24:39 am
10.1 #17
Shreyas Mohan
3/18/2016 05:03:23 pm
This may sometimes show up in the wording of the problem and it's good to know: a unit vector is a vector with a magnitude of one. It's sometimes called a direction vector.
Rachel Willy
3/18/2016 07:19:53 pm
P. 518 Quick Review #7
Christopher Glenn
3/18/2016 07:35:27 pm
10.1 #2
Elise T
3/18/2016 10:51:48 pm
10.1 #14
Elise T
3/18/2016 11:07:39 pm
10.1 #18 3/18/2016 11:22:48 pm
Graphing polars:
Elise T
3/18/2016 11:29:23 pm
10.1 #19
Nathan Rao
3/21/2016 08:51:25 am
Section 10.2 Exercise #17
Abigail Chase
3/21/2016 11:45:58 am
10.2 #2
Rachel Willy
3/21/2016 05:26:47 pm
10.2 #8
Shreyas Mohan
3/21/2016 05:43:36 pm
Angle Between Vectors:
Taylor Garcia
3/21/2016 09:52:17 pm
10.1 #16 3/21/2016 10:13:33 pm
The angle between two vectors can also be found using the law of Cosines.
Tanmayi K
3/21/2016 10:23:58 pm
Review of Honors PreCalc for 10.6
Ananth Putcha
3/21/2016 10:24:51 pm
The magnitude of a vector can be defined as the length of the vector. It us usually in the notation: v=sqrt ((a^2) + (b^2))
Christopher Glenn
3/21/2016 10:33:56 pm
10.1 #19
Elise T
3/21/2016 11:15:58 pm
If r is the position vector of a particle moving along a smooth curve in the plane, then at any time t,
Elise T
3/21/2016 11:27:31 pm
Vector Limits:
Kevin Knox
3/21/2016 11:35:23 pm
10.1 #5
Juan Guevara
3/21/2016 11:51:24 pm
When we describe a curve using polar coordinates, it is still a curve in the xy plane. We would like to be able to compute slopes and areas for these curves using polar coordinates. We have seen that x = r cos θ and y = r sin θ describe the relationship between polar
Elise T
3/22/2016 07:39:48 am
10.2 #4
Tanmayi K
3/22/2016 08:10:05 am
10.2 #30
Michelle H
3/22/2016 08:13:04 am
REMEMBER: If the dot product is zero, the vectors are orthogonal (the angle between the two is 90°)
Kavya Anjut
3/22/2016 08:52:26 am
10.3 #4
Paige Eber
3/22/2016 11:32:36 am
The formula used to find the angle between two vectors is:
Shreyas Mohan
3/22/2016 04:44:09 pm
Derivative of a vector function, r(t)=f(t)i+g(t)j.
Christopher Glenn
3/22/2016 07:29:45 pm
10.3 #1 3/22/2016 08:27:04 pm
Modelling Projectile Motion with Linear Drag
Rachel Willy
3/22/2016 08:41:30 pm
10.2 #20
Abigail Chase
3/22/2016 09:44:54 pm
Dot product:
Ananth Putcha
3/22/2016 09:45:06 pm
A unit vector is a vector with the magnitude of 1: V/V
Nathan Rao
3/22/2016 10:05:11 pm
Section 10.2 #19
Taylor Garcia
3/22/2016 10:07:24 pm
10.2 #5
Juan
3/22/2016 10:42:31 pm
The derivative would let you know how y is changing as x changes incrementally. It would not let you know how x and y are changing with respect to a parameter like t. Also, note that you are not trying to find out the RATE of change in any variable, just a direction of motion over time
Kevin Knox
3/22/2016 10:53:13 pm
10.2 #22
Tanmayi K
3/23/2016 08:07:39 am
10.3 #2
Rachel Willy
3/23/2016 09:06:19 am
10.3 #3
Elise T
3/23/2016 12:18:57 pm
10.3 #12
abigail Chase
3/23/2016 01:38:54 pm
10.5
abigail Chase
3/23/2016 01:40:55 pm
10.5
Abigail Chase
3/23/2016 01:42:02 pm
10.5
Shreyas Mohan
3/23/2016 02:34:52 pm
Area of the region between the origin and the curve r=f(x) where x is an angle and the origin and a<x<b is:
Kavya Anjur
3/23/2016 07:33:49 pm
10.3 #9
Christopher Glenn
3/23/2016 09:22:23 pm
10.3 #14
Nathan Rao
3/23/2016 09:39:16 pm
Section 10.4 #2 3/23/2016 10:24:10 pm
The area of the region between the origin and the curve r=f(θ), α≤θ≤β can be found by integrating (1/2)r^2dθ from α to β.
Kevin Knox
3/23/2016 11:34:56 pm
10.2 #3
Juan Guevara
3/23/2016 11:37:39 pm
The parameter typically is designated t because often the parametric equations represent a physical process in time. However, the parameter may represent some other physical quantity such as a geometric variable, or may merely be selected arbitrarily for convenience. Moreover, more than one set of parametric equations may specify the same curve. 3/23/2016 11:46:13 pm
Application: 3/23/2016 11:48:43 pm
Ideal Projectile Motion Formulas:
Elise T
3/24/2016 07:58:17 am
Shapes to Know:
Michelle H
3/24/2016 07:58:41 am
REMEMBER:
Rachel Willy
3/24/2016 08:00:31 am
here are formulas for converting polar to rectangular!
Tanmayi K
3/24/2016 08:01:20 am
Converting Rectangular Coordinates to Polar Coordinates:
Kavya Anjur
3/24/2016 08:26:53 am
10.5 #25
Nathan Rao
3/24/2016 08:48:38 am
Section 10.4 Exercise #4
Christopher Glenn
3/24/2016 07:27:43 pm
Remember
Ananth Putcha
3/24/2016 10:53:30 pm
Roses: r=a(cos(n○)) or r=a(sin(n○))
Ananth Putcha
3/24/2016 10:56:04 pm
Conics: r=(ed)/(1ecos○)
Shreyas Mohan
3/26/2016 08:55:10 am
If you guys are wondering what the eccentricity of a conic actually is. It's the length from the center to the focus divided by the length of the radius. e<1 for eclipses as well.
Juan Guevara
3/24/2016 11:04:03 pm
The magnitude of a vector is always a positive number or zero and can be calculated if the coordinates of the endpoints are known.
Elise T
3/24/2016 11:35:51 pm
Vector Operations:
Elise T
3/24/2016 11:38:26 pm
Vector Operations:
Kevin Knox
3/24/2016 11:53:57 pm
10.2 #13
Michelle H
3/25/2016 11:52:59 am
P. 519 #27 3/25/2016 01:00:58 pm
Vectors in 3D:
Shreyas Mohan
3/26/2016 08:53:17 am
Did this help you get that helical path question on the magnetism test?
Allison Y
3/25/2016 01:13:04 pm
10.4 #1
Nathan Rao
3/25/2016 09:02:52 pm
Section 10.4 Exercise #7
Kavya Anjur
3/25/2016 09:17:43 pm
10.5 #35
Juan Guevara
3/25/2016 09:59:25 pm
Shawn Park
3/27/2016 07:33:53 pm
Section 10.1 #6
Ananth Putcha
3/27/2016 08:08:19 pm
10.1 #11 Find the length of the curve Comments are closed.

AuthorMrs. Johnson's 20152016 BC Calculus Center for Review. By participating in this blog, you are indicating that the work that you submit is your own. If found to be otherwise true, you will not receive credit. Happy blogging!
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