1. Consider the following polar curve: r = 3 + 2 cos θ (a) Sketch the curve. (b) Find the area it encloses. (c) Set up an integral that represents the length of one loop of the curve. 2. Consider the following polar curve: r = 4 cos 3θ (a) Sketch the curve. (b) Find the area it encloses. (c) Set up an integral that represents the length of one loop of the curve.

SEE THE PROCEDURE PLEASE

Step-by-step explanation:

1.

a. The plot is attached below

b. The area is given by

c.

2.

a. The plot is attached below

b. by symmetry:

c.

HOPE THIS HELPS!!

answer: sine

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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