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A team of four is chosen from six married couples. If a husband and wife cannot both be on the team, in how many ways can the team be formed?

There are 12 choices for the first memebr, then 10 for the next (as it cannot be the spouse), then 8, then 6.Therefore there are 12 10 8 6 permutations where partners aren't together.However, this counts eve...
LC
Answered by Lily C. • Maths tutor
3240 Views

Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.

x = −b ± √(b 2 − 4ac) / 2a x = −20 ± √(20 2 − 4(3)(-500)) / 2(3) x = (3x + 50) (x - 10)
AS
Answered by Aarnav S. • Maths tutor
1800 Views

Solve the equation sec^2 x + 2tanx = 0 , 0 ≤ x ≤ 2π, question from HL Maths exam May 2017 TZ1 P1

We start with sec^2 x + 2tanx = 0 for 0 ≤ x ≤ 2π Note that sec^2 x = tan^2 x +1 tan ^2 x + 2tan x +1 = 0 (tan x +1)^2=0 tan x = -1 x=3π/4 or x=7π/4
MK
Answered by Michał K. • Maths tutor
7280 Views

Find the first and second order derivative of the function, F(x)= 3x^3 - 7 + 5x^2, and then identify the maximum or minimum points.

F(x)= 3x 3 - 7 + 5x 2 i) F'(x)= 3 3x 2 + 2 5x F'(x)= 9x 2 + 10x ii) F''(x)= 2*9x + 10 F''(x)= 18x + 10 iii) for maximum or minimum points (stationary points) F'(x)=0 9x 2 + 10x = 0 x * (9x + 10) = 0 x = 0 or...
ID
Answered by Iosif D. • Maths tutor
2009 Views

What is the simples way to integrate by part?

In a case of integral that you want to integrate once using technique "by parts" you have to divide your integral into two functions.Working on an example, f(x)=x sinxLet g(x)=x and h'(x)= sin x Th...
MK
Answered by Michał K. • Maths tutor
1589 Views