Calculate the difference quotients for f(x)=9+2x−x22 f ( x ) = 9 + 2 x − x 2 2 using h=0.1 h = 0.1 , 0.01 0.01 , and 0.001 0.001 . Use the results to approximate the slope of the tangent line to the graph of f(x) f ( x ) at the point (4,9) ( 4 , 9 ) . If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.

answer: sine

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

you need to give us more information since we can't answer

4.5%

step-by-step explanation: