Rectangular coordinates of a point are given. Use a graphing utility in radian mode to find polar coordinates of the point.(12, 16) Express ? to three decimal places.

A. (20, 0.848)
B. (20, 0.927)
C. (28, 0.644)
D. (20, 0.644)


Answer: B

Mathematics

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Solve the problem.At time  a particle is located at the point (1, 1, 1). It travels in a straight line to the point  has speed 2 at (1, 1, 1) and constant acceleration   Find an equation for the position vector r(t) of the particle at time t.

A. r(t) = i - k
B. r(t) = i - k
C. r(t) = i - j - k
D. r(t) = i - k

Mathematics

Solve the initial value problem for y as a function of x.  = 1, x < 5, y(0) = 10

A. y = sin-1  
B. y = sin-1  + 10
C. y = ln 
D. y = ln  + 10

Mathematics

Rationalize the denominator.

A.  
B. 57
C.  
D. 57

Mathematics

Solve the problem.A rectangular photograph measures 27 inches by 42 inches. The photographer wishes to frame the photograph with a frame x inches wide, as shown. Write an expression in factored form for the area of the frame in terms of x. 

A. 4x(x - 69) B. 2(x + 21)(2x + 27) C. 2(2x2 + 69x + 1134) D. 2x(2x + 69)

Mathematics