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tamaranim1 [39]
2 years ago
15

Varies directly with the number of

Mathematics
1 answer:
yulyashka [42]2 years ago
3 0

Step-by-step explanation:

Let p and h represent pay and hours worked respectively,

p = kh

k = p/h = 148.5/18 = 8.25

p= 8.25h

90.75 = 8.25h

h = 11 hours.

Hope it helps! :)

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(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Fi
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Answer:

The required vector parametric equation is given as:

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Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

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So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

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