• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Maths Assignment - trigonometry, trend line, probability and calculus questions.

Extracts from this document...




Trigonometry can be used to solve problems instead of constructing a scale diagram.

A man leaves a point walking at 6kmh on a bearing of 80o. A cyclist leaves the same point at the same time on a bearing of 120o travelling at a speed of 17kmh. Calculate their distance apart after 4 hours using trigonometry.        (6)



Figure 01

As shown in the figure 01, let’s take ‘A’ as the starting point.

After 4hrs the man is at point M and cyclist at point C

Distance travelled by the man after 4hrs                


Distance travelled by the cyclist after 4hrs        


Now let’s consider the


Using the information in the question, the application of the Cosine rule would seem

...read more.



a)  Using Excel verify this is true.


b)  Add the appropriate trend line.


c)  Display the equation of this trend line.




(a).As you can see in the graph the given data of pressure Vs altitude shows an exponential variation.

(b).The appropriate trend line is shown in dotted lines on the graph.

(c). Trend line equation is given by




Probability can be used so that companies can decide on reasonable waiting times.

The waiting times for a bus are normally distributed with a standard deviation of 0.3 minutes. 80% of people waiting for a bus have to wait no more than 5 minutes. Calculate the mean average waiting time for one of these buses.        (3)


Table 01: Cumulative probability for Z values






According to the above table

...read more.



Angular displacement

 is given by function of

 by following equation


(a).Then Angular velocity

, is given by



Angular velocity of the disc after 1.5s


(b).Then Angular acceleration

, is given by



Angular acceleration of the disc after 1.5s



(c).When angular velocity becomes zero for the first time whereimage00.png







A gas expands according to the law pv constant. When the volume is 2m3 the pressure is 240kPa. Calculate the work done as the gas expands from 1m3 to 4m3 given that work

done  v2p dv



Note:  1


 ln x



Gas expands according to the law of

Where k is constant

When  image00.png


When gas expands work done is given by








...read more.

This student written piece of work is one of many that can be found in our AS and A Level Core & Pure Mathematics section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related AS and A Level Core & Pure Mathematics essays

  1. The open box problem

    X 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 V 40.964 41.472 41.548 41.216 40.5 39.424 38.012 36.288 34.278 32 This table shows that the maximum volume is about 41.548 and the value for x for this is 1.4.

  2. Numerical integration can be described as set of algorithms for calculating the numerical value ...

    and two consecutive calculations are complete, the cells can be dragged down and the answers required appear. Excel is able to do this as it follows the formula and is judicious.

  1. Numerical Method (Maths Investigation)

    equation will automatically show in the INPUT BAR (where I input my equations one by one and ENTER after each one). Graphmatica also allows me to control the ranges and scales. It also provides functions of ZOOMING, varieties of graph paper and different type of presentation (Either by dots, grid lines or none).

  2. Exponential decay:The objective of this experiment is to get the trend line of heart ...

    Base heart rate Heart rate after t mins(after running 5 mins) Time(min) 1 2 3 0.5 1 1.5 2.0 2.5 3.0 3.5 Name Abby 84 84 80 130 150 150 150 130 120 140 Alex 90 78 90 180 180 150 150 140 140 140 Ben 78 90 110 130

  1. Math assignment - Families of Functions.

    The graph will be more narrow the greater the value of a is. So, as you can see in my graph, the value of a is greater in my first graph, than in my second graph, and the parabola is therefore more narrow.

  2. Functions Coursework - A2 Maths

    It also implies that x<1.879395, confirming that x is not greater than or equal to 1.87940 to five decimal places. If x?1.879395, then x would be at least 1.87940 to five decimal places. Thus the root has been proven to be 1.87939 to five decimal places as a result of

  1. Portfolio - Stopping Distances

    Speed versus Braking distance Table 3. Speed versus Braking distance Speed (kmh-1) Braking distance (km) 32 0.006 48 0.014 64 0.024 80 0.038 96 0.055 112 0.075 Graph 3. Speed versus Braking distance This graph is, from observation, a quadratic or a semi-parabola in which the y-value (braking distance)

  2. Arctic Research (Maths Coursework)

    In real life there are other forces that could affect the flight of the plane, however, to make this investigation practical I will not be considering any of these. * The height at which the plane will be during flight will not be considered.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work