Other Math Answers

Prove in detail the following mappings from R to R
Let R be the set of real numbers.
Φ1: R→R^+
Φ1 ={x,e^x) ; x∈R}
Φ2: R→R^+
Φ2= { (x,α^2);x∈R}
Identity mapping
iA:A→A
Alpha:Z→Z
Alpha(n)=2n
Prove the given mapping

Use Mu ̈ller’s method to determine the real and complex roots of
1): f (x) = x^3− x^2 + 2x − 2
2): f(x)=2x^4 + 6x^2 + 8
3): f (x) = x^4 − 2x^3 + 6x^2 − 2x + 5

Answer by true or false and correct the false ones
1)The trajectory of a moving particle doesn't depend on the chosen frame of referance.
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2)All the points of a solid in a translational motion have identical trajectories.
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3)The motion of a solid is said to be rotational when the trajectory of one of its points is a straight line.
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4)During a translational motion all the points of a solid rotate around fixed axis.
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5)A moving body performs a translational motion is any segment of this body keeps the same direction while moving.
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Give one example each, with justification, to support the following statements. i) Children in early primary school have a problem with handling formal arithmetic. ii) Repetition is not the same as rote learning. iii) Objects of different shapes may have the same volume?

There may be a temptation to continue to raise the ticket sales to increase the amount of money raised. Certainly, you often hear of a guest speaker at a fundraising dinner where people are charged $100 a plate. What do you think is a realistic price for tickets? What are the consequences of raising the price to $50 a plate or $100 a plate.

Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?

Distinguish between the phrases number concept and number sense.

In a doctor's clinic patients arrive at the rate of 5 per hour and the doctor has to spend on an average 10 minutes with each patient if the arrival process of the patients is assumed to be Possion

d). Solve for x in the following polynomials
(i). f(x) = 3x4 + 2x3 – 15x2 + 12x – 6
(ii). 2x4 + 3x3 – 13x2 – 6x + 8 = 0