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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: S - Displacement ...
WM
Answered by Wai Man C. • Maths tutor
8643 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
13406 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)=2x 3 +23x 2 +3x+5 f'(x)=6x 2 +46x+3 Maximum or minimum when f'(x)=0 6x 2 +46x+3=0 Using the Quadratic Formula: x=(-b+-squareroot(b 2 -4ac))/2a x 1 =-0.0658 x 2 =-7.6
SK
Answered by Sanjana K. • Maths tutor
4595 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+x^(1/2)+4...
MA
Answered by Michael A. • Maths tutor
3791 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
2029 Views