Let u(t) = 4t³i + (t² − 1 )j – 3k and v(t) = e¹i+ 9e¯¹j- et k. Compute the derivative of the following function. u(t).v(t) Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The derivative is the scalar function OB. The derivative is the vector-valued function i+j+ k.

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A: Given that the region is bounded by the curves  from

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A: f(x)=x3/8, a=16

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Q: solution is -3/2

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Q: 7. Determine critical points for each of the following functions. b. f(x) = x(4- x)³

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Q: Find the volume of the region bounded by the planes 4x + 2y + 3z = 5, y = x, x = 0, z = 0.

A: 4x+2y+3z=5,y=x,x=0,z=0.0≤z≤(5−4x−2y)3z=0⇒y=5−4x2x≤y≤5−4x25−4x2=x5−4x=2xx=56

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