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Mechanics (M1): Particle moving on a straight line with constant acceleration (Relationships of the 5 Key Formulae)

For M1, it is essential for you to be able to solve questions that involve particles moving in a straight line with constant acceleration.

The representation of symbols is listed as follow:

...

WM
Answered by Wai Man C. Maths tutor
7161 Views

Probabilities: "A bag contains counters that are red, blue, green and yellow. There are 9 red, (3x) blue, (x-5) green and (2x) yellow. If the probability of picking a red at random is 9/100, work out the probability of picking a green."

If there is a total of 100 counters, 9 + (3x) + (x-5) + (2x) = 100.

3x + x + 2x = 100 + 5 - 9

6x = 96

x = 16

Probability of picking green = (16 - 5)/100 = 11/100

CD
Answered by Charukshi D. Maths tutor
11885 Views

Differentiate 2x^3+23x^2+3x+5 and find the values of x for which the function f(x) is at either at a maximum or minimum point. (Don't need to specify which is which)

f(x)=2x3+23x2+3x+5

f'(x)=6x2+46x+3

Maximum or minimum when f'(x)=0

6x2+46x+3=0

Using the Quadratic Formula: x=(-b+-squareroot(b...

SK
Answered by Sanjana K. Maths tutor
3996 Views

Find f(x^(1/2)+4)dx (Where f is the integral sign)

The general form for an integrand if the integral is of the form f(x^n)dx is (1/(n+1)) * x^(n+1) +c This is applied to each term in the question, remembering the constant in the integrand:

So: f(6x...

MA
Answered by Michael A. Maths tutor
3178 Views

If Tom has a bag of balls with 7 orange, 6 green and 11 blue, what is the probability that he will pick a green ball?

Answer= 1/4 7+6+11= 24 Green =6/24 Simplifies to 1/4, by division by 6.

SS
Answered by Sam S. Maths tutor
1615 Views

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