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PLEASE ANSWER QUESTION 3 ONLY, thank you :)) 1 Problem 1 According to Fermat's last theorem, there are no natural numbers a,b,c that satisfy a3

PLEASE ANSWER QUESTION 3 ONLY, thank you :))

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1 Problem 1 According to Fermat's last theorem, there are no natural numbers a,b,c that satisfy a3 + b3 = 3 However, in the world of integers in C language, it may be possible. Write a C program and find int numbers a, b, c >0 which satisfy a (a*a*a + b*b*b == C*c*c) 2 Problem 2 Consider a sequence {In} defined by the following recurrence relation: Co = 3 11 = 2 2n+2 = 13 In+1 6 Tn n The true values of the sequence is 3 -) COIN 3 (1) Write a C program to calculate and display 12, 13, , (100 with double pre- cision using above recurrence relation. (2) Probably, values far from the true values will be calculated. Discuss the reasons for the error. 3 Problem 3 Find two formulas that are mathematically equivalent, but which yield very different values when calculated with double precision. Discuss the reasons for the difference

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