Maths Formula And Solution Assignment

Maths

1 Solution:-
1.1F(x) = 3x3-4
Extreme point at (0,-4)
Simple Rule for plot the graph is ‘Bivariate’ plot. One axis is horizontal axis along the "x-axis
and other is the vertical axis is the "y-axis". X- axis represents the 3x3-4 function value
and y axis shows f(x).
(1.2) f(t) = 3- 2 sin(t+pi/3)
Rule is Basic trigonometry function.
For this plot transform and translate trig functions into basic algebra. X-axis
represent the variation in time whereas y axis represents the amplitude of
trigonometry function sin x.

(1.3) f(t) =10(1-e(-1/2)t)
To plot the graph in the exponential form is difficult as compared to algebraic. So
convert exponential value in the decimal. So all of its
y-values will be decimal
approximations
Rule: A number with a negative exponent is the reciprocal of the number to
the corresponding positive exponent.

(1.4) f(z)= 2ln(z-5)-3 for z>5
Asymptotes of f(z)= 2ln(z-5)-3 of vertical z=5
RULE :- Quotient Rule