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Solve simultaneous equations x + y = 3 and -3x + 5y = 7

The first equation can be multiplied by 3 to give 3x + 3y = 9. Then these two equations can be added by summing both left hand sides and both right hand sides to obtain the new equation 3x + 3y - 3x + 5y = 9...
JV
Answered by Jonas V. • Maths tutor
4593 Views

When Integrating by parts, how do you know which part to make "u" and "dv/dx"?

you need to think about how the integral will be simpliefied, basically you are trying to get to a state where only one function of x resides in the integral. so if you have an x 2 sin3x dx inside the integr...
TG
Answered by Thomas G. • Maths tutor
4211 Views

A cubic curve has equation y x3 3x2 1. (i) Use calculus to find the coordinates of the turning points on this curve. Determine the nature of these turning points.

y′=3x2 −6x use of y′ = 0 0= 3x^2 - 6x 0= 3x(x-2) therefore either x=0 or x=2 when x=0 y=1, when x=2 y=-3 (0, 1) or (2, −3) y''=6x-6 when x=0 y''=6(0)-6 = -6 as y'' is negative this means at x=o the curve is ...
CB
Answered by Charlotte B. • Maths tutor
7959 Views

If Tom flips a coin 3 times, what is the probability the result are heads, heads, heads, or tails,heads, tails? (assuming we have a fair coin)

This question can be solved using a tree diagram. First we need to map out the two possible outcomes from the question: H=heads T= tails. The first scenario is HHH, as the probability of H each time is 1/2 w...
RB
Answered by Ross B. • Maths tutor
4982 Views

Write 0.38 as a percentage and as fraction.

38% and 38/100.
LF
Answered by Lauren F. • Maths tutor
4654 Views