college calc
posted by Ruby .
Approximate the square root of 64.3, y=x^(1/2). Starting point is the square root of 64.

y = x^(1/2)
dy/dx = (1/2)x^(1/2)
dy = 1/(2√x) dx
when x = 64, dx = .3
dy = (1/2√64)(.3) = (1/16)(.3) = appr .01875
so √64.3 = 8.01875
actual √64.3 by calculator = 8.018729
error is .000022
Respond to this Question
Similar Questions

7th grade math Ms. Sue please
2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? 
Algebra
Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed … 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra help please
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed … 
Math
1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? 
college precalculus
simplify: square root (4/3)square root (3/4) A. 2sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer? 
math
Four students work to find an estimate for square root 54. Who is closest to finding the true estimate? 
Math
Four students work to find an estimate for square root 27. Who is closest to finding the true estimate?