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Calculate the modulus and the principle value of the argument of the following complex no -3+j4

Use Descartes' Rule of Signs to find the possible number of negative zeros of p(x)=2x5+x4+x3−4x2−x−6


Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}

Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).



2. at x = 0



1/x if x ≤ -1


x² - 2 if x > -1




If f(x)= 2|x-1| and g(x)=3x-10, then fog(1)=12


The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f.


The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f.

The sum of 2440 consists of two numbers 100 and 10. If 100 is six times that of 10. How many 100 are there?

one number is 3 less another number. If the sum of the two numbers is 177, find each number.


Mention two Teaching and Learning materials you can use to teach inverse mapping