If the population of Botswana is 2 million and is increasing at 2% per annum, what...

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If the population of Botswana is 2 million and is increasing at 2% per annum, what will be the population in 10 years time? 2. Express (3,-2) as polar co-ordinates, correct to 2 decimal places, in both degrees and radians Find the value of a, where 3. 4. 6. Find the vertical and horizontal asymptotes of the graph of the function f(x) = (2x-3)/√x² + 2x-3. 5. Using the first principle, find the differential with respect to x f(x) = ex Differentiate the following with respect to x 8. tan 3x-sin 3x Find the derivative of lim- X-0 log(cos x)/(secx + tan x) 7. Verify the Rolle's theorem for f(x) = x³5x² + 7x-3 in the interval (1, 3). - 2a. 10. Find Zxx tan ¹[(1+x)/(1-x)] 9. Find the equation of the tangent and the equation of the normal for the curve y = 3x³ + 2x² + 4 at the point (1,4). and Zyy. Show that Zxy = Zyx for the following function z = ln (xy) If the population of Botswana is 2 million and is increasing at 2% per annum, what will be the population in 10 years time? 2. Express (3,-2) as polar co-ordinates, correct to 2 decimal places, in both degrees and radians Find the value of a, where 3. 4. 6. Find the vertical and horizontal asymptotes of the graph of the function f(x) = (2x-3)/√x² + 2x-3. 5. Using the first principle, find the differential with respect to x f(x) = ex Differentiate the following with respect to x 8. tan 3x-sin 3x Find the derivative of lim- X-0 log(cos x)/(secx + tan x) 7. Verify the Rolle's theorem for f(x) = x³5x² + 7x-3 in the interval (1, 3). - 2a. 10. Find Zxx tan ¹[(1+x)/(1-x)] 9. Find the equation of the tangent and the equation of the normal for the curve y = 3x³ + 2x² + 4 at the point (1,4). and Zyy. Show that Zxy = Zyx for the following function z = ln (xy)

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1 To find the population in 10 years we calculate the growth each year and compound it Initial popul... View the full answer