SOLUTION: The waterslide at an amusement park is shaped like the curve Y=4/x+1 For x= 0m to x=5m. What is the angle (with the positive horizontal axis) of the slide when x=3m?

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Question 1079737: The waterslide at an amusement park is shaped like the curve
Y=4/x+1
For x= 0m to x=5m. What is the angle (with the positive horizontal axis) of the slide when x=3m?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+4%2Fx+%2B+1+
The derivative is:
+z+=+-4%2Fx%5E2+
You are given that +x=3+
+z+=+-4%2F3%5E2+
+z+=+-4%2F9+
This this +tan%28theta%29+ where theta
is a negative angle with the positive x-axis
+tan%28theta%29+=+-4%2F9+
+theta+=+-23.9625+ degrees
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Here's the plot of +y+=+4%2Fx+%2B+1+
+graph%28+400%2C+400%2C+-1%2C+6%2C+-1%2C+5%2C+4%2Fx+%2B+1+%29+
this looks like I could be right