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1) Find an equation of the tangent line to the graph of y = 4 x - x + 1 at the point (16, 1)

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1) Find an equation of the tangent line to the graph of y = 4 x - x + 1 at the point (16, 1). A) y = 1 2 x - 9

B) y = 1

C) y = - 1 2 x + 9

D) y = - 1 2 x + 1

 

2) Find dy/dx. y = 6 sin x

A) 6 csc x cot x - sec2 x

B) 6 cos x

C) 6 csc x cot x

D) - 6 csc x cot x Solve the problem.

 

3) The position of a particle moving along a coordinate line is s = 5 + 4t, with s in meters and t in seconds. Find the particle's velocity at t = 1 sec.

A) 1 6 m/sec

B) - 1 3 m/sec

C) 2 3 m/sec

D) 4 3 m/sec 1 Use analytic methods to find the local extrema.

 

4) y = x 4 - 8x 2 - 1

A) Local maxima at (2, -17), (-2, -15); local minimum at (0, -1)

B) Local minimum at (-2, -17), local maximum at (2, -17)

C) Local minima at (2, -17), (-2, -17); local maximum at (0, -1)

D) Local minimum at (0, -1), local maximum at (2, -17) Find dy/dx.

 

5) y = (5x - 4)(2x3 - x2 + 1)

A) 10x3 + 13x2 - 39x + 5

B) 40x3 - 13x2 + 39x + 5

C) 30x3 + 39x2 - 13x + 5

D) 40x3 - 39x2 + 8x + 5