Find the position vector of a particle that has the given acceleration and the given initial velocity and position.

a(t) = -4k, v(0) = i + j - 20k, r(0) = 4i + 9j


r(t) = (t+4)i + (t+9)j- (2t² + 20t)k

Mathematics

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Find the exact value of the expression.cos  cos  + sin  sin 

A.
B.
C.
D. 1

Mathematics

Use a calculator to solve the equation on the interval 0 ? ? < 2?. Round the answer to two decimal places.cos ? = -0.93

A. {0.38, 3.52} B. {2.77, 3.52} C. {0.38, 2.76} D. {2.77, 5.91}

Mathematics

Find A-1, if it exists.A = 

A.

B.

C.

D. Does not exist

Mathematics

Find the value of the combination.C(9, 1)

A. 80,640 B. 362,880 C. 9 D. 4.5

Mathematics