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find all solutions from the range 0 to 2 pie. tan^2x + tanx -12=0
The equation x^3 − x −1 = 0 has a positive root in the interval ] 1,2[ . Write a fixed point
iteration method and show that it converges. Starting with initial approximation x0 = 1.5
find the root of the equation correct to three decimal places.
In queueing theory, if the arrivals are according to a Poisson distribution with parameter λ , the inter-arrival time is according to an exponential distribution with parameter eλ. State whether the statement is true or false. Justify your answer briefly.
If in 2009 approximately 30% of the adult population was offline in terms of being able or willing to access the internet.

New data released in May 2016 indicated that this group numbered 5.3 million in the first quarter of 2016.

Using these figures and taking the UK adult population in 2016 to be 52.2 million, calculate the percentage points reduction in offline UK adults indicated by the 2016 data.
Show Through a Venn diagram.

A-B = AnB'
what is 3082.24 divided by 24
If I have two apples and I eat 1 apple. How many purple space aliens exist with our universe?
The measurements of the bulk modulus of a material at different temperatures is as follows:
T( ͦ C ) 20 500 1000 1200 1400 1500
K (G Pa) 203 197 191 188 186 184
Determine the regression equation for this data.
7 Determine
∫x2+1(x+2)3

ln(x+2)+4x+2−52(x+3)2+c

ln(x+2)−4x+2−52(x+3)2+c

−ln(x+2)−4x+2−52(x+3)2+c

ln(x−2)+4x−2−52(x+3)2+c

8 Find the volume of a sphere generated by a semicircle
y=(√r2−x)
revolving around the x-axis

−π−r32

4πr32

πr34

4πr33

9 Evaluate
∫x2e3x

e3x3(x2−2x3+29)+c

−e3x3(x2+2x3−29)+c

e2x3(x3−x4+29)+c

ex3(x2+2x3−25)+c
10 Given f(x) =
(7x4−5x3)
, evaluate
df(x)dx

7x4−5x3

2x3−15x2

28x2−15x2

28x3−15x2
1 Evaluate
∫e4xdx

14e4x+c

ex+c

3ex3+c

13ex+c

2 Evaluate
∫xe6xdx

x6e6x−1136e6x+c

x3e6x+116e6x+c

x6e6x+1136e6x+c

−x6e6x+1136e6x+c

3 Find
∫xcosax2dx
with respect to x

cos3x+c

sin2x+c

sec2x+1

12asinax2+c
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