Linear approximation a. Find the linear approximation to the function f at the point ( a, b ) . b. Use part (a) to estimate the given function value. 78. f ( x , y ) = 4 cos ( 2 x − y ) ; ( a , b ) = ( π 4 , π 4 ) ; estimate f ( 0.8 , 0.8 ) .
Linear approximation a. Find the linear approximation to the function f at the point ( a, b ) . b. Use part (a) to estimate the given function value. 78. f ( x , y ) = 4 cos ( 2 x − y ) ; ( a , b ) = ( π 4 , π 4 ) ; estimate f ( 0.8 , 0.8 ) .
Solution Summary: The author explains the linear approximation of the function f(x,y)=4mathrmcos
Using the plane tangent to the graph of the function f(x, y) = ln(y - 2x), determine the approximate value of f(0.99 , 3.02).
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Use linear approximation to approximate a suitable function f(x,y) to estimate the following: (0.99e^(0.02))^8
a. Find the linear approximation to ƒ at the given point a.b. Use your answer from part (a) to estimate the given function value.Does your approximation underestimate or overestimate the exactfunction value?
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