Provide an appropriate response.Show that if a particle's velocity vector is always orthogonal to its acceleration vector then the particle's speed is constant.

What will be an ideal response?


Given: v and a are orthogonal. Thus v?a = v?(dv/dt) = d(v?v)/dt = 0.
So, v?v = 2 = constant and thus  = constant.

Mathematics

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Use the given transformation to evaluate the integral.   Rwhere R is the parallelogram bounded by the lines    

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A.
B.
C.
D.

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Use reduction formulas to evaluate the integral.

A. 3 ln +  cos2 x + C
B. 3 ln -  sin x + C
C. 3 ln + 3 sin x + C
D. 3 ln -  cos2 x + C

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Provide an appropriate response.Which of the following credit score classifications have an adverse affect on renters insurance premiums? I. good II. occasional payments past 30 days III. judgments, collection, bankruptcy

A. both II and III B. I only C. II only D. III only

Mathematics

Specify the center and radius of the circle.5x2 + 5y2 - 40x + 50y + 160 = 0

A. center: (-5, 4); radius: 3 B. center: (-4, 5); radius: 9 C. center: (5, -4); radius: 9 D. center: (4, -5); radius: 3

Mathematics