The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = cos(2t)i  + 10ln(t - 3)j - k

A. v(0) = 2i - j
B. v(0) = -j
C. v(0) = -2i - j
D. v(0) = j


Answer: B

Mathematics

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Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.)

?
?

A. ?16 ft2
B. ?4 ft2
C. 10? ft2
D. ?8 ft2
E. ?20 ft2

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The pressure P, in lb/ft2 , a liquid exerts at a given point on a submarine is directly proportional to the depth d, in feet, of the point below the surface of the liquid. When a given point is 3 ft below the surface of the liquid, the pressure is 187.5 lb/ft2 . Find an equation of variation expressing P as a function of d.

What will be an ideal response?

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Find all cube roots of the complex number. Leave answers in trigonometric form.4 - 4i

A.  cis 100°,  cis 220°,  cis 340°
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C.  cis 80°,  cis 200°,  cis 320°
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