If dy/dx = 3x³ − 4x² + 5x + 1 + 1/x², find y in terms of x
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Use product rule to find the derivative of (2 − x² )(3x + x² ).
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Solve the following system of simultaneous equations by substitution method;
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3y + 2x = z + 1
3x + 2z = 8 - 5y
3z − 1 = x − 2y
Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.
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Test the validity of the following argument:
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Tanzania is making a new constitution. Either Tanzania is editing her constitution or
Tanzania is making a new constitution. If Tanzania is making a new constitution then
Tanzania has a constitution. Therefore, Tanzania has a constitution and Tanzania is
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Construct the truth table for the proposition p ∧ (q ∨ r)
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Write the truth value of the following mathematical statement;
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“If 2 is a prime number, then 2 is not an even number”
Given the equation of the circle 4x² + 4y² + 20x -16y + 37 = 0, find its centre and radius
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Find the tangents of the angle between the lines 4x + 3y -12 = 9 and y – 3x = 0.
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Find the coordinates of a point that divides the line segment joined by points A (5,8) and B (-8,5) in the ratio 3:2.
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