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1.Given the value x, determine its relative error.

2.Taking a case study of monic polynomial, the Q^th degree derivative is given by p. Both p and q are positive integers. What will 2p⁴+ 3pq³₂= 3q³₂+ 2qp³ result in?

3.For Euler's theorem, provide the condition necessary for it to be relevant.

4.Determine whether the following statement satisfies the Euler's theorem. f(x, y) = x³+ xy²+ 901

5.Measurement uncertainty is referred to as error. True or false?

6.Find value of f(1) - f(0) in a quadratic polynomial where x =1 is 1 and 2 (first and second derivative)

7.Determine the value of f_x+ f_yat (x,y)=(4,4) where f(x, y) = sin(y/x)x³+ x²y.

8.What does n symbolize in Euler theorem where nz =x^z_x+ y^z_y?

9.What is the minimum value in a homogeneous function where there are no saddle points?

10.State and give an alternative for this statement. z = xⁿf(^y_x)