. (16.4) (a) Calculate H C F · dr where F(x, y) = h 2xy (x 2 + y 2) 2 , y 2 − x 2 (x 2 + y 2) 2 i for (x, y) 6= (0, 0) and C is any positively oriented simple closed smooth curve that encloses the origin. [Hint: F is not defined at the origin.] (b) Calculate H C F · dr where F = hx 2 + y, 3x − y 2 i and C is the positively oriented smooth boundary curve of a region D that has area 17.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

hdjd

step-by-step explanation:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15