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## Homework Statement

The load per foot of beam length varies as shown. For x = 17 ft, the unit load is 373 lb/ft. At x = 0, the load is increasing at the rate of 41 lb/ft per foot. Calculate the support reactions at A and B. The reactions are positive if upward, negative if downward.

I have attached an image of the question.

## Homework Equations

## The Attempt at a Solution

I know that I need to integrate the function, w = k

_{1}x - k

_{2}x

^{2}but I'm not sure how to find the variable k

_{1}and k

_{2}. Plugging in the information that when x = 17, w = 373 I get

373 = 17k

_{1}- 289k

_{2}

But I'm not sure how to proceed from here. I realize that it also says that when x = 0 the load is increasing at a rate of 41 lb/ft but I'm not certain how I should interpret this.

Help would be appreciated. Thank you