• 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. Marked by a teacher

    The Gradient Function

    5 star(s)

    Here, I shall investigate some further "a" and x values to find the overall gradient function for axn; this will bring my investigation to a close. 3x� is suitable for the next investigative values.

  2. The open box problem

    For the ratio 3:1 I will start with the dimensions 9x3. x x 3 9-2x x 9 3-2x If I put the dimensions 9 and 3 into the original equation it comes out to be V=x(9-2x)(3-2x).

  1. Arctic Research (Maths Coursework)

    to work out the journey time. Time = distance � speed = 50 � 338.67 km/h = 0.148 hrs = 8.86 minutes The return journey back from A to Base camp has similar processes as the magnitudes are the same, only the directions change. Return Journey Pythagoras' Theorem to find the speed of the flight a2 = b2 + c2 3402 = 302 + R.V.

  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. Portfolio - Stopping Distances

    First I will develop a quadratic model. Steps taken to develop quadratic model: 1. The value of is the y-intercept and since the car is at rest the speed is 0 and so is the braking distance. 2. To solve for , we can use a pair of coordinates and plug them into the equation P1 (64,0.024)

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

    Thus M16 means that area under the curve is split in 16 rectangles whereas M32 means its split up in 32. Having explained the mid-point rule above, I shall now explain the trapezium rule. The two methods are quite similar to each other in the sense of approximating the definite integral.

  1. Sars Math Portfolio ...

    At first I inserted the values for day 7 and day 28 because I assumed ab0 = 1 therefore we could not figure out b. After discovering a function to model those figures I realized that we were suppose to actually develop a model for the first four weeks so

  2. Coding and Modelling - The tools used in my spreadsheets.

    - 48w2 24 = 8w + or - 4w 24 = 4w 24 = w 6 The solution holds true with the trend noticed in the final conclusion. In order to expand my investigation further, I will now proceed to investigate the largest square cutout size possible, which will enable

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