Solve the equation:


Mathematics

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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 2 for r(t) = (4 - 2t2)i  + (10t + 2)j - e-2tk

A. v(2) = 8i + 10j + 2e-4k B. v(2) = -8i + 10j - 2e-4k C. v(2) = -8i + 10j + 2e-4k D. v(2) = -4i +10j + 2e-4k

Mathematics

Graph the function. Give the equations of its vertical and horizontal asymptotes.f(x) = 

A. Vertical asymptote: x = 2
Horizontal asymptote: y = 0

B. Vertical asymptote: x = -2
Horizontal asymptote: y = 0

C. Vertical asymptote: x = 2
Horizontal asymptote: y = 0

D. Vertical asymptote: x = -3
Horizontal asymptote: y = 0

Mathematics

Use front-end rounding to round each number. Then, multiply the rounded numbers to get an estimated answer. Finally, find the exact answer.estimateexact  

A. Estimate: 120; exact: 95.2 B. Estimate: 12; exact: 9.62 C. Estimate: 12; exact: 9.52 D. Estimate: 120; exact: 96.2

Mathematics

Describe the set of points (x, y, z) defined by the equation.z = 0

A. All points of the form (0, y, 0) B. All points of the form (x, y, 0) C. All points of the form (x, 0, 0) D. Only the point (0, 0, 0)

Mathematics