Get started today!

Good to have you back!
If you've signed in to StudyBlue with Facebook in the past, please do that again.

- StudyBlue
- Texas
- University of North Texas
- Calculus
- Calculus 1720
- Dulock
- Summer Multivar. Cal

Ore A.

The Fundamental Theorem of Calc

the integral of f from a to be is equal to f(b)-f(a)

What re the 2 ways to represent a curve?

1) by an Equation

2) in parametric form

2) in parametric form

Advertisement
)

What is a parametric Equation?

Eq.s that inlude the variable t, which represents a point between any a and b.

t also has a set of x and y coordinates

t also has a set of x and y coordinates

Dimensions of an object=

the # of variables (x,y,z) minus the number of eq.s

How do you plot a parametric graph?

find the value of t and and substitute it into the appropriate equation

x^2+y^2=

1

Eq. of a circle

Eq. of a circle

parametric eq.s involing sin and cos

Use the eq. for a circle and adjust the values of x and y to be parallel to it

Rewrite <a1,a2,a3>

<a1i+a2j+a3k>

How do you add and subtract vectors algebraically?

Combine Like terms

How do you add vectors geometrically?

With Tip to tail method, which you can use if the tips and tails aren't aligned. Just move the vectors within their respective planes

How do you subtract vectors geometrically?

1. draw the first vector "as is"

2. draw the second vector in the opposite direction

2. draw the second vector in the opposite direction

Scalar Multiplication

Multiplying a vector by a scalar constant, which shrinks or lenghtens the vector accordingly

coordinates of i vector

<1,0,0>

coordinates of j vector

<o,1,0>

coordinates of k vector

<0,0,1>

Advertisement

Magnit./Length of a vector=

the sqrt of a1^2+a2^2

* The material on this site is created by StudyBlue users. StudyBlue is not affiliated with, sponsored by or endorsed by the academic institution or instructor.

"StudyBlue is great for studying. I love the study guides, flashcards and quizzes. So extremely helpful for all of my classes!"

Alice , Arizona State University"I'm a student using StudyBlue, and I can 100% say that it helps me so much. Study materials for almost every subject in school are available in StudyBlue. It is so helpful for my education!"

Tim , University of Florida"StudyBlue provides way more features than other studying apps, and thus allows me to learn very quickly!??I actually feel much more comfortable taking my exams after I study with this app. It's amazing!"

Jennifer , Rutgers University"I love flashcards but carrying around physical flashcards is cumbersome and simply outdated. StudyBlue is exactly what I was looking for!"

Justin , LSU