victor.m

What is the resulting temperature when a 150g cube of ice at zero degrees celsius is added to 200g of water in a 100g aluminium cup at 30degrees celsius.

calculate the derivative of x^5-x+2/x^3+7

(i)prove that 1/1+sintheta +1/1-sin theta=2sec^2 theta (ii)prove that cos theta/1-sin theta =1+sin theta/cos theta

Evaluate using partial fractions x^4 - 16/x^3 - 8

Evaluate limit squareroot of (x^4 - 16)/(x^3 - 8) as x approaches 2

fIND THE VALUE OF THETA,given that theta is greater than zero but less than 360 degrees,given that sec(3theta/2 - 48 degrees)+ 2 = 0

Given the equation of an ellipse is 4x^2 + y^2 + 24x - 6y + 9 = 0 (i) Find the centre,foci and vertices (ii)calculate the lengths of the major and minor axes

A CIRCLE HAS EQUATION X^2 +4X + 10Y -8 =0,FIND THE EQUATION OF THE TANGENT AT (3,1)

A telescope has an object whose focal length is 60cm. (a)The telescope is used to watch a young zebra 500m away.If the image of the zebra is 20mm long and is located 25cm infront of the eye piece,find the actual length of the zebra