Using a definition of the limit of function, prove that the following functions are continuous

Determine whether each of the following statements is true, false, or uncertain. Explain your answers. A decision maker seldom k

koban [17]

Answer:

a) FALSE: the opportunity cost of an activity is the total value of all of the alternatives passed up

b) FALSE: OC is a subjective measure of cost - only the individual can estimate the expected costs/benefits himself

c) FALSE: Info is only gathered if the expected benefits from gatherings info exceeds the costs of getting the expected costs - people normally make choices based on limited and incorrect info because of convenience

d) TRUE: you can guess you will enjoy a movie and then find it too violent for your tastes

Explanation:

Opportunity cost is commonly known as the alternative option to a particular activity. It is necessary to collect as many vital information as possible. It is important to collect information for business purpose and personal reasons. A movie can be interesting and at the same time, contains horror violent scenes.

6 0

3 years ago

A HSS152.4 × 101.6 × 6.4 structural steel [E = 200 GPa] section (see Appendix B for crosssectional properties) is used as a colu

Temka [501]

Answer:

(a) 126.66 kN (b) 31.665 kN (c) 258.49 kN (d) 506.64 kN

Explanation:

Solution

Given

A HSS152.4 × 101.6 × 6.4 structural steel is used as a column

Actual length of the column , L= 6 m

The elasticity modules, E = 200 GPa

The factor of safety with respect to failing buckling . F.S =2

Geometric properties of structural steel shapes for, A HSS152.4 × 101.6 × 6.4

the moment of inertial about y axis Iy =4 .62 * 10^ 6 mm ^4

For

(a) If the end condition is pinned - pinned

The effective length factor, K =1

The critical buckling load , Pcr = π²EI/(KL)²

Pcr = π² * 200 * 10 ^3 * 4.62 * 10 ^6/( 1* 6* 10 ^3)

= 253319.85N

= 253.32N

The maximum safe load , Pallow = 253.32 /2 = 126.66kN

hence, the maximum safe for the column is 126.66kN

(b)If the end condition is fixed free-free

the effective length factor, K= 2

The critical buckling load , Pcr = π²EI/(KL)²

Pcr = π² * 200 * 10 ^3 * 4.62 * 10 ^6/( 2 * 6 * 10 ^3)²

= 63329.96N

=63.33kN

The maximum safe load, P allow = Pcr/F.S

P allow = 63.33/2

31.665 kN

Therefore the maximum safe for the column is 31.665 kN

(c) If the end condition is fixed- pinned

The effective length factor K =0.7

The critical buckling load , Pcr = π²EI/(KL)²

Pcr = π² * 200 * 10 ^3 * 4.62 * 10 ^6/( 0.7 * 6 * 10 ^3)²

=516979.2 8N

=516.98 kN

The maximum safe load, P allow = Pcr/F.S

P allow = 516.98 kN/2

=258.49 kN

Therefore the maximum safe for the column is 258.49 kN

(d) If the end condition is fixed -fixed

The effective factor, K =0.5

The critical buckling load , Pcr = π²EI/(KL)²

Pcr = π² * 200 * 10 ^3 * 4.62 * 10 ^6/( 0.5 * 6 * 10 ^3)²

=1013279.4 N

=1013.28 kN

The maximum safe load, P allow = Pcr/F.S

P allow = 1013.28 / 2

= 506.64 kN

P allow = 506.64 kN

Therefore the maximum safe for the column is 506.64 kN

8 0

4 years ago

Suppose that a one-celled organism can be in one of two states – either A or B. An individual in state A will change to state B

xxTIMURxx [149]

Answer:

P{x,y} {x - 1, y + 1} = βy/ αx + βy.

P{x,y} {x + 1, y - 1} = βx/ αx + βy.

Explanation:

The full meaning for the acronym "CTMC" given in the question is known as the continuous-time Markov chain. The continuous-time Markov chain is an important tool or instrument which is used in the dealings with stochastic process.

Hence, Xa(t) is the number of organisms in state A, Xb(t) is the number of organisms in state B. Therefore, we can say that the continuous-time Markov chain(CTMC) is;

{ Xa(t), Xb(t)}.

Thus, b(x,y) = αx + βy.

Therefore, we will have;

P{x,y} {x - 1, y + 1} = βy/ αx + βy.

P{x,y} {x + 1, y - 1} = βx/ αx + βy.

Note that, if we are to use the generation of matrix to get differential equation as below;

I(x)α(ix - 1, iy + 1) (JxJy)(t) + iyβ

P (ix + 2, iy -1) (Jx,Jy) (t) - (ixα + iyβ) P(ix,iy)(JxJy) (t).

t is greater or equals to zero for ix,iy, Jx and Jy.

3 0

3 years ago

Who play 1v1 lol unblocked games 76

nikklg [1K]

Answer:

I did not what is it about?

8 0

3 years ago

Read 2 more answers

stimate the force required in extruding 70-30 brass at 700C, if the billet diameter is 125 mm and the extrusion ratio is 20

Jlenok [28]

U have to find the bill it into the internet in order for me to get the answer. Also u have to make it change into the call.

7 0

3 years ago