The acceleration function (in ) and the initial velocity are given for a particle moving along a line. Find the velocity at time t and the distance traveled during the given time interval.

a (t) = t + 4, v (0) = 6, 0 ? t ? 10


Mathematics

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Use implicit differentiation to find dy/dx and d2y/dx2.4 - y = 2x

A.  =  - 2;  = - 
B.  =  = 
C.  =  = 
D.  =  = 

Mathematics

Use Taylor's formula to find the requested approximation of    near the origin.Cubic approximation to  

A. 1 - 2x - 18y + 3x2 + 72xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3 B. 1 - 2x - 18y + 3x2 + 54xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3 C. 1 + 2x + 18y - 3x2 - 72xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3 D. 1 + 2x + 18y - 3x2 - 54xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3

Mathematics

Provide an appropriate response.Let f(x) = . The only value(s) of x for which f is discontinuous is (are)

A. 4. B. -3 and 3. C. 3. D. -3. E. none

Mathematics

Solve the right triangle.a = 3.9 cm, b = 1.2 cm, C = 90°Round values to one decimal place.

A. A = 17.1°, B = 72.9°, c = 4.1 cm B. A = 17.9°, B = 72.1°, c = 5.1 cm C. A = 72.9°, B = 17.1°, c = 4.1 cm D. A = 68.4°, B = 21.6°, c = 4.1 cm

Mathematics