Math 2B Midterm 1 Review.docx - 4.9...

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4.9 Antiderivatives *don’t forget to add constant (+C) when finding the antiderivative
Rectilinear motion Position = s=f(t) Velocity = v(t)=s’(t) Acceleration = a(t)=v’(t) If given acceleration, to find position, find the antiderivative of acceleration twice and solve for C using given values 5.1 Areas and distances
To estimate divide into rectangles All of these rectangles have the same width, but their varying height (y) will be calculated by plugging in each x value of the rectangle into the given formula. A problem will ask you to evaluate at either the left or right endpoints. If it asks for left endpoints then you plug in the left x value into the given equation to find y. If it asks for right, then plug in right. When f(x) is increasing, left will be an underestimate and right will be an overestimate When f(x) is decreasing, the left will be an overestimate and the right
will be an underestimate You should only be plugging in the same amount of x values as there are rectangles Area of a rectangle is base times height. Calculate the area of each

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