Find the coordinates of the centroid of the curve.Find the coordinates of the centroid of the curve x = e4t cos 4t, y = e4t sin 4t, 0 ? t ? .

A. () = 
B. () = 
C. () = 
D. () = 


Answer: D

Mathematics

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Complete the following:(a) Write the equation in slope-intercept form.(b) Give the slope and y-intercept of the line.6x + 7y = 38

A. (a) y = - x + 
(b) - ;  
B. (a) y = - x + 
(b) - ;  
C. (a) y = x + 
(b)  ;  
D. (a) y = x + 
(b)  ;  

Mathematics

Solve the problem.To remodel a bathroom, a contractor charges $25 per hour plus material costs, which amount to $3850. Therefore, the total cost to remodel the bathroom is given by  where x is the number of hours the contractor works. Find a formula for  What does  compute?

A. f -1(x) =  - 3850; This computes the number of hours worked if the total cost is x dollars.
B. f -1(x) =  - 3850; This computes the total cost if the contractor works x hours.
C. f -1(x) =  - 154; This computes the total cost if the contractor works x hours.
D. f -1(x) =  - 154; This computes the number of hours worked if the total cost is x dollars.

Mathematics

Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex cube roots of -8i

A. 8(cos 90° + i sin 90°), 8(cos 210° + i sin 210°), 8(cos 330° + i sin 330°) B. 512(cos 90° + i sin 90°), 512(cos 210° + i sin 210°), 512(cos 330° + i sin 330°) C. 2(cos 90° + i sin 90°), 2(cos 210° + i sin 210°), 2(cos 330° + i sin 330°) D. 2(cos 180° + i sin 180°), 2(cos 300° + i sin 300°), 2(cos 60° + i sin 60°)

Mathematics

Evaluate the expression using the given values.5xy -  ; x = 16, y = -4

A. -327 B. 329 C. -329 D. 327

Mathematics