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“Our state of the art algorithm allows you to simply input the width and height of your skyscraper, and using a specially trained machine learning model, it would automatically generate a “star” (*) image of the entire structure. Specifically, the foundation of the building would always be width + 2 stars wide, while the top of the tower contains 1 star if the width is an odd number, or 2 stars if the width is an even number. Are you ready to see how it works?”



Apart from the base and the top level of the tower, every level starts and ends with a white space(" ").




The first line will contain a message prompt to width of the skyscraper.




The second line will contain a message prompt to height of the skyscraper.





The succeeding lines will contain the skyscraper pattern.



For example:





Output:





Enter·width·of·skyscraper:·5




Enter·height·of·skyscraper:·10




*




*****




*****




*****




*****




*****




*****




*****




*****




*******

The demand function Q(P) and cost functions C(Q) of a company's are given by the equations:

Q=12000−60P

(Q)=10000+4Q,

where P and Q are the price and quantity, respectively.

What is the company's profit function?




a.Profit=−60P−4Q+2 000


b.Profit=−60P^2+11 760P−58 000


c.Profit=−60P^2+12 240P−58 000


d.Profit=−60P^2+12 240P+38 000


The demand function Q(P) and cost functions C(Q) of a commodity are given by the equations:

Q=12000−60P

C(Q)=10000+4Q,

where P and Q are the price and quantity, respectively. 

The total revenue function TR in terms of P is


a. TR=12 000−60P.

b. TR=P(12 000−60P^2).

c.  TR=12 000P−60P^2.

d.  TR=12 000+60P^2.



25.7 ml of 0.487 M HCl and 15.4 ml of 0.765 ml NaOH are mixed.


Determine the mmol of HCl and NaOH in the two solutions that are being mixed.

Which reactant is present in excess?

Is the solution acidic, basic or neutral?


Y =  1 /3  x^3  –  x^2 – 3x  +  2


Is

 

a. (−1, 11 / 3) is a maximum and (3,-7) is a minimum

b. (−1,0) is a maximum and (3,0) is a minimum

c. (3,0) is a maximum and (-1,0) is a minimum

d. (3,−7) is a maximum and (−1,11 / 3) is a minimum



Y (x) = (1 + x^3) ^e^2x


Is


a.      (1 + x^3) ^ e2x   .  e^2x

b.      (x^3) ^e2x .  e^2x

c.      ( 1 + x^3)^e2x  .  e^2x 2In   ( 1 + x^3)

d.      ( 1 + x^3)^e2x  .  e^2x [ 2In ( 1 + x^3) + 3x^2 /1+ x^3 ]


Suppose a firm producing coffee provides you with the following information: Price = R100 Quantity = 150 units of coffee Cost of production = R9500 Calculate the total revenue of the firm. (1) Is the firm currently making a profit or loss? Explain.


F (x) = e^x  / x


is

a.      F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^4

b.      F’ (x) = e^x (x -1) / x^2 – e^x (x -1) (2x) + e^x (x^4)

c.      F’ (x) = e^x (x – 1) + e^x (x^2) – e^x (x -1) (2x) / x^2

d.      F’ (x) = e^x (x^2 – 2x + 2)   / x^3


T= Tris




A= Glacial acetic acid




E= EDTA




B= Boric Acid




10x TAE Recipe




For 1L of 10x solution,




• 48.5 g tris




• 11.4 mL glacial acetic acid




• 20 mL 0.5M EDTA (pH 8.0)




TBE Buffer 10x Stock Recipe




• 108 g tris base




• 55 g boric acid




• 900 ml double-distilled H2O




• 40 ml 0.5 M EDTA solution (pH 8.0)




Adjust volume to 1 L find molarity

What is the concentration of a 53.80 mL solution of HBr that is completely titrated by 35.00 mL of a 0.200 M NaOH solution?


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