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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

Solve the given trigonometric equation analytically (using identities when necessary for exact values when possible) for values of x for 0 ? x < 2?.cos x = sin x

A.
B.
C.
D.

Mathematics

Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e9x + c2e4x 

A. D2y + 13Dy + 36y = 0 B. D2y - 13Dy + 36y = 0 C. D2y - 13Dy - 36y = 0 D. D2y + 13Dy - 36y = 0

Mathematics

Translate the sentence to an equation. Do not solve.The difference between 9 and y is 2.

A.  = 2
B. 9 - y = 2
C. 9 = y - 2
D. - 9 = 2

Mathematics