A developing nation introduces measures to increase economic productivity per capita. Which theory does this align with? a. Optimum population theory b. Malthusian theory c. Population bomb theory d. Demographic transition model

(ix) The equation \( \frac{1}{r r} \frac{\partial}{r}\left(r \frac{\partial u}{r r}\right)=\frac{1}{c^{2}} \frac{\partial^{2} u}{\partial t^{2}} \) is one dimensional wave equation in: (a) Cylindrical coordinate (b) Polar coordinate (c) Spherical coordinate (d) None of these

(b) Show that the relation R on the set \( \mathrm{A}=\{1 \), \( 2,3,4,5\} \) given by \( \mathrm{R}=\{(\mathrm{a}, \mathrm{b}):|\mathrm{a}-\mathrm{b}| \) is even \( \} \) is an equivalence relation.

Pemilik sebuah restoran perlu membayar cukai perkhidmatan kepada kerajaan kerana nilai perkhidmatan bercukai yang disediakan restorannya melebihi nilai ambang RM1 500000 setahun. Pihak manakah yang bertanggungawab mengutip cukai ini? The owner of a restaurant is required to pay service tar to the government because the value of taxable services provided by his restaurant exceeds the threshold of RM1 500000 per year. Which entity is responsible for collecting sales and service tax? A Majlis Perbandaran B Lemicipal Council B Inland Revenue Board (IRB) C Pejabat Tanah dan Galian D State Land Office Dabatan Kastam Diraja Malaysia (JKDM) Royal Malaysian Customs Department (RMCD)

5. A psychologist is interested in exploring the effect of utorial suppot on students' academic performance and assign students into two groups. Students in group one the tutorial support and those in groupltwo do not. In this example, what is the a) Dependent variable b) Independent variable c) Control group d) Experimental group

20. If the expression \( \frac{2 i^{2}-3 i}{1-2 i} \) is written in the form \( a+b i \) where a and \( b \) are real numbers and \( i=\sqrt{-1} \), what is the value of a?