The objective of this problem is to compare second-order accurate forward, backward, and centered finite difference approximations (three-point formulae) of the first deriva-tive of a function to the actual value of the derivative. This will be done forf(x) = 5e−2x.(a) Use calculus to determine the correct value of the derivative atx= 2.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

a

step-by-step explanation:

strong negative correlation

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: