Find a polar equation for the curve represented by the given Cartesian equation.


Mathematics

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One way to weigh a very light object is to weigh a large number of the items and then divide to find the weight of one item. Before dividing, the weight of the packaging must be subtracted to find the net weight. Complete the table below. ?  

A. Net weight: 1048 g
Weight of one item in grams: 5.2 g
Weight of one item in milligrams: 5200 mg  
B.

Net weight: 980 g
Weight of one item in grams: 4.9 g 
Weight of one item in milligrams: 4900 mg
C. Net weight: 980 g
Weight of one item in grams: 0.2  g 
Weight of one item in milligrams: 204.08 mg
D. Net weight: 980 g
Weight of one item in grams: 5.1 g
Weight of one item in milligrams: 5100 mg

Mathematics

Evaluate the expression.(f ? g)(a) when f(x) = 7x + 6 and g(x) = 3x - 1.

A. 21a + 5 B. 21a + 13 C. 21a + 17 D. 21a - 1

Mathematics

An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion. Develop a model that relates the distance d of the object from its rest position after t seconds.m = 15, a = 8, b = 0.55, T = 3

A. d = -8e-0.55t/30 cos 
B. d = 8e-0.55t/30 cos 
C. d = -8e-0.55t/30 cos 
D. d = 8e0.55t/30 cos 

Mathematics

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = x6 - x5 - x4 - 5x3 + 2x2 + 2x + 3

A. 6; 3 or 1 positive zeros; 3 or 1 negative zeros B. 6; 4, 2, or 0 positive zeros; 2 or 0 negative zeros C. 6; 2 or 0 positive zeros; 4, 2, or 0 negative zeros D. 6; 2 or 0 positive zeros; 2, or 0 negative zeros

Mathematics