Find (t) and (t) for r(t) = 10ti+7t²j+5t³k.

What will be an ideal response?


Mathematics

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Find the indicated series by the given operation.Show that by differentiating term by term the expansion of  the result is the expansion for 

A. (1 + 2x - 3x2 + 4x3 - . . .) = -2(1 + 3x - 6x2 + . . . )
B. (1 - 4x + 6x2 - 8x3 + . . .) = -2( 2 - 6x + 12x2 - . . .)
C. (1 - 2x + 3x2 - 4x3 + . . .) = -2(1 - 3x + 6x2 - . . .)
D. (2x + 3x2 - 4x3 + . . .) = -2(1 - 3x + 6x2 - . . .)

Mathematics

Find a rectangular equation for the plane curve defined by the parametric equations.x = t + 4, y = t2

A. y = x2 - 8x + 16
B. y = 
C. y =  + x + 4
D. y = x2 + 16

Mathematics

Solve the problem.An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

A. 1230 B. 735 C. 1170 D. 600

Mathematics

If 4! = 24, evaluate 3!.

a.  2 b.  120 c.  6 d.  720 e.  24

Mathematics