The point P(16 , 9 ) lies on the curve y = \sqrt{ x } + 5. Let Q be the point (x, \sqrt{ x }+ 5 ). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x= 16.1, the slope of PQ is: ? If x= 16.01, the slope of PQ is:? If x= 15.9, the slope of PQ is:? If x= 15.99, the slope of PQ is:? b.) Based on the above results, estimate the slope of the tangent line to the curve at P(16 , 9 ). Answer: ??

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The point P(16 , 9 ) lies on the curve y = \sqrt{ x } + 5. Let Q be the point (x, \sqrt{ x }+ 5 ). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x= 16.1, the slope of PQ is: ? If x= 16.01, the slope of PQ is:? If x= 15.9, the slope of PQ is:? If x= 15.99, the slope of PQ is:? b.) Based on the above results, estimate the slope of the tangent line to the curve at P(16 , 9 ). Answer: ??

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1328845163296:dw|
The 2nd one...:)
And then (x, \sqrt{ x }+ 5 ) is |dw:1328845351408:dw|

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Other answers:

slope at x= 16.9= .1248053 slope at x= 16.01=.1249805 slope at x = 15.9 = .12519593 slope at x = 15.99 = .1250195
Thanks Mertsj!
How do you find b?
Well based on looking at those slopes I would expect it to be between .1249 and .1251 so I guess my estimate would be .1250 What would yours be?
yeah, not quite mine is .1255, but i believe yours is right!

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