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Nigeria
Cxpand \( (a-b)^{6} \) using binomial theore
Algebra Mar 03, 2025
Prove that \( 2 n<n \) ! for all intcgers \( n \geq 5 \) by using mathematical induction
Pre Algebra Mar 03, 2025
Use the binomial theorem to find the co-efficient for \( x^{4} \) in the expansion of \( (2 x-3)^{5} \)
Algebra Mar 03, 2025
Prove by induction that \( 2 n>n 2 \) for all tmegers \( n \geqslant 5 \)
Algebra Mar 03, 2025
QUESTION IWO Show the construction of \( \mathrm{M} 39 \times 3 \times 100 \) of a bolt, nut and stud given the following parameters (j) Width Across flat \( =60 \mathrm{~mm} \) (ii) Height of bolt head \( =25 \mathrm{~mm} \) (iii) Radius under head \( =2 \mathrm{~mm} \) (iv)Thickness of nut \( =31 \mathrm{~mm} \). ( 15 Marks )
Engineering Mar 02, 2025
Show the construction of \( M 39 \times 3 \times 100 \) of a boit, nut and stud given the foilowing parameters (i) Width Across flat -60 mm (ii)Height of bolt head \( =25 \mathrm{~mm} \) (iii)Radius under head \( =2 \mathrm{~mm} \) (iv) Thickness of nut \( =31 \mathrm{~mm} \). ( 15 Marks )
Engineering Mar 02, 2025
The velocity w of a particle in a time t is given by the expression \( \mathrm{W}=109+3 \mathrm{t}^{3} \). Find the instantaneous acceleration after 2 seconds
Calculus Mar 02, 2025
If a cage containing a truck of coal weighing 750 kg is raised to a height of 90 m in a minute, what is the total power expended? \( \left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}.\right) \)
Physics Mar 02, 2025
An external force of magnitude 100 N acts on a particle of mass 50 kg for 5 s. Calculate the change in the speed of the particle?
Physics Mar 02, 2025
Solve \( \frac{1}{4}(x-3)<\frac{1}{5}(3 x-2) \)
Algebra Mar 02, 2025
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