Solve the problem.One rope pulls a barge directly east with a force of 47 N, and another rope pulls the barge directly north with a force of 76 N. Find the magnitude of the resultant force acting on the barge.
A. 123 N
B. 3600 N
C. 89 N
D. 29 N
Answer: C
Mathematics
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Evaluate the integral which is given in cylindrical or spherical coordinates.
A. 
B. 
C. 
?
D. 
?
Mathematics
Graph the equation. Include the coordinates of any local extreme points and inflection points.y = x
A. local minimum: 
local maximum: 
inflection point: (0, 0)
B. local minimum: 
local maximum: 
inflection point: (0, 0)
C. local maximum: (0, 
)
no inflection points.
D. local maximum: 
no inflection point.
Mathematics
Set up an integral for the length of the curve.y4 + 4y = 4x - 1, 1 ? y ? 2
A. 
B. 
C. 
D. 
Mathematics
Find the center of mass of a thin plate covering the given region with the given density function.The region between the curve y = 
and the x-axis from x = 1 to x = 9, with density ?(x) = 
A. 
= 5, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Mathematics