Sexy dx + (x+y)dy Evaluate along the curve y=x2 from (-1,1) to (2,4). First find the vector valued function r(t) defining the curve, and include this in your work. (The answer is 69/4. I have no clue how to get the r(t) equation.)

Sexy dx + (x+y)dy Evaluate along the curve y=x2 from (-1,1) to (2,4). First find the vector valued function r(t) defining the curve, and include this in your work. (The answer is 69/4. I have no clue how to get the r(t) equation.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Question

SExy dx+ (x+y)dy
Evaluate
along the curve
y=x2 from (-1,1) to (2,4). First find the vector valued
function r(t) defining the curve, and include this in
your work.
(The answer is 69/4. I have no clue how to get the r(t)
equation.)

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