Hi i have 15 math question which i have been trying to solve but i dont seem to be able to do so..i really need these question solved as they are from a past mathematics questions book and i would be sitting for a math exam very soon.I AM NOT ASKING YOU TO HELP ME ANSWER ALL ,JUST HELP ME OUT OKAY
1. 2 places A and B on the equator are in longitudes 20° W and 18° E respecytively. calculate correct to the nearest 100km th distance between A and B along ythe equator. (Take π = ²²∕7 )
2 . differentiate (cosΘ - sin Θ)² with respect to Θ.
3 if one factor of x³-8****ֿ**¹ is x-2**ֿ¹,the other is ....
4.convert 111.111 from binary number to denary
5 .simplify *a-b (numerator)/ a⅓ - b⅓ (denominator)
6 . factorise x³ + 2x² - 5x - 6
7.simplify ¼ - 1½ × (2½ - ⅔)
8 . solve the equations 3x - y + 1 = 2x + y + 2 = 3x+2y+1 (numerators)/
3 5 6(denominators)
9 .resolve 2x² - 3x - 10∕ (x + 2)(x² - 9)
10 . if α and β are acut angles such that sin α = ³∕5 tan β = 5∕12.findthe value of sin(α +β )
11 . the motion of a body is defined by S = 3t³ - 2t² - 3,where S denotes th displacement after the time t seconds.find the acceleration after t = 5seconds
12. evaluate lim (x-2)(x² + 3x - 2) numerator / x² - 4 denominator
13.if secΘ° = 1.5, find sinΘ° and cot Θ° respectively.
14.the base of a rectangular block is a square ,side × cm, and its volume is 200cm³ .find the function(fx) which represenst in square cm the total area of the faces of the block
15. A solid metal cuboid has a dimension 18cm by 10cm by 7cm.It is melted down completely and recast into a solid right circular cone of radius 10cm. calculate the height of the cone .(π = ²²∕7)