Amachinist is required to manufacture a circular metal disk with area 1000 cm2.
(a) what radius produces such a disk?
(b) if the machinist is allowed an error tolerance of ± 5 cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
(c) in terms of the e, d definition of lim x? a f(x) = l, what is x? what is f(x)? what is a? what is l? what value of is given? what is the corresponding value of d?

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places