3. The motion of a particle is defined by the function s(t), where s is the displacement from the origin in meters after t seconds. a) If s'(2) = 0, then what do you know about the motion of the particle at t = 2? b) If s" (4) = -5 and s'(4) = -10, then draw a sketch of what the graph of s(t) could look like around t = 4.

Q: Find an equation for the tangent to the curve at the given point. 6) h(x) = t3 - 25t-1, (5, -1)

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A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

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A: We will find the required.

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A: To find the equation of the tangent line to the curve   at the point .

Q: 5) Sketch the graph of each function a) y=2" +1 b) y=3*1

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Q: Consider the graph to the right. 14 7 a) How many times does the function have a derivative = 0? How…

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Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: Find an equation of the tangent to the curve at the given point. (1) X²+4xy-y²-4x=1, (1,2) (2)…

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