kellyzeissss1286

20.12.2019 • 

Mathematics

Suppose f⃗ (x,y)=−yi⃗ +xj⃗ and c is the line segment from point p=(5,0) to q=(0,4).

(a) find a vector parametric equation r⃗ (t) for the line segment c so that points p and q correspond to t=0 and t=1, respectively. r⃗ (t)=
(b) using the parametrization in part (a), the line integral of f⃗ along c is ∫cf⃗ ⋅dr⃗ =∫baf⃗ (r⃗ (t))⋅r⃗ ′(t)dt=∫ba dt with limits of integration a= and b=
(c) evaluate the line integral in part (b).
(d) what is the line integral of f⃗ around the clockwise-oriented triangle with corners at the origin, p, and q?
hint: sketch the vector field and the triangle.

Ответ:

middlegirlrule9453

24.06.2021

Mathematics

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We are given scale factor k=3. This means that each coordinate of a point is multiplied by 3 to get final point.

W' = 3*W

We can use this to find original point.

-6 = 3x

x = -2

9 = 3y

y = 3

So we have  

W(-2,3)

Step-by-step explanation:

Hope this is correct. If it is wrong please feel free to critique my mistake(s). I'm sorry in advance if it is incorrect.

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