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let B={1-t,t-t2,2-2t+t2} be an ordered basis for p2

let p(t)=3+t-6t2

  1. find [p(t)]B

Let the set U = {1, 2, 3, 4, 5}, be the universe. Let Y = {(n+2)| n = 2, 3} 5 and X = {3, 4}. Write the following sets using set builder notation


How do you display an error message written like this: (“101 is not a valid mark, enter a number between 0 and 100”) in this code?


A fighter jet takes-off from an aircraft carrier and climbs in the air with an angle of 42.1 degrees above the horizontal and a speed of 122 m/s.The speed and direction of the jet constitutes a vector quantity known as the velocity.What is the horizontal component of the plane's velocity?


Create a C++ program to accept two integers and check if it is greater than or equal to 20. Explain and how it works?

Build a C++ program to read the temperature in centigrade and display a suitable message according to the temperature state below: (nested-if else/switch case)


Temp <0 then freezing weather


Temp 0-10 then very cold weather


Temp 10-20 then cold weather


Temp 20-30 then normal in Temp


Temp 30-40 then it is hot


Temp >=40 then it is very hot


Example Input: 42


Expected Output: It is very hot.


Give the explanation about this program and how it works?

Build a C++ program to read the temperature in centigrade and display a suitable message according to the temperature state below: (nested-if else/switch case)


Temp <0 then freezing weather


Temp 0-10 then very cold weather


Temp 10-20 then cold weather


Temp 20-30 then normal in Temp


Temp 30-40 then it is hot


Temp >=40 then it is very hot


Example Input: 42


Expected Output: It is very hot.

An air bubble of volume 0.5cm3 when released at the bottom of a lake rise's to the surface of the lake.Explain why

given a population of 2000 normally distributed stores with mean equal to 74, and a standard deviation of 6. How many scores are between 50 and 70?


Using relevant examples, discuss the advantages and drawbacks of


protein expression in Escherichia coli and Pichia pistoris



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