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f(x) = 3(x-1)(x+2)/ (x-4) (x+2)
c) state and plot the removable discontinuities
d) state the y intercepts
f(x) = 3(x-1)(x+2)/ (x-4) (x+2)
a) state vertical asymptotes
b) state the roots
A,what will be the number of customers of colget and akuafresh after two transitions?
B, find the steady stake market share
Find the derivative of each of the following functions :
(a)x^2+1 / (2x+1)^1/2
(b)ln(3x^3-9e^x)^3
(c)(x^2+3)√(x)
Evaluate each of the following limits:
(a)lim √(x+2)-√(2-x)/x
x→0
(b)lim (2x+8/x^2-12)(1/x)/x+6
x→-6
14. The normal to the curve y = X^2– 4x at the point ( 3 , - 3 ) cuts the X-axis at A and the
Y-axis at B. Find the equation of the normal and the coordinates of A and B.
An object thrown from a height of 2 m above the ground follows a parabolic path
until the object falls to the ground; see Figure. If the object reaches a maximum
height (measured from the ground) of 7 m after travelling a horizontal distance of 4
m, determine the horizontal distance between the object's initial and final positions.
Find the number b such that the line y=b divides the region bounded by the curves y=x2 and y=4 into two regions with equal area.
A triangular lamina in the xy -plane such that its vertices are (0,0), (0,1) and (1,0). Suppose that the density function of the lamina is defined by p(x,y)=30xy gram per cubic centimetre. What is the total mass of the lamina and the center of gravity. The moment about the y-axis of the lamina.the moment about the x axis of the lamina
An object thrown from a height of 2 m above the ground follows a parabolic path
until the object falls to the ground; see Figure. If the object reaches a maximum
height (measured from the ground) of 7 m after travelling a horizontal distance of 4
m, determine the horizontal distance between the object's initial and final positions.
