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Find the cross product of vectors a and b ( a x b ) where a = 3i + 6j + 4k and b = 6i - 2j + 0k.

a x b = 8i + 24j - 42k
ID
Answered by Isaac D. • Maths tutor
4466 Views

A curve has the equation y=x^3+2x+15. Find dy/dx.

Here, we are asked to differentiate with respect to x. That is what dy/dx stands for. So, we are only concerned with the terms involving x; that is x^3 and 2x. To differentiate you need to time x (and its co...
ZA
Answered by Zein A. • Maths tutor
3817 Views

Find the value of x if the following is true: 3(x – 2) < 8 – 2x

So our first priority is to get all the Xs onto on side and add them together. But we cant do that just yet because of 3(x-2). so lets move all X values to the left of the equation 3(x-2) + 2x &lt; 8 (Notice...
PD
Answered by Peter D. • Maths tutor
4654 Views

Express 1/(x(1-3x)) in partial fractions.

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x) when x=0 1=A when x= 1/3 1=B/3 so B=3 1/(x(1-3x))= 1/x + 3/(1-3x)
LB
Answered by Laura B. • Maths tutor
9912 Views

Express 9^(3x+1) in the form 3^y, giving "y" in the form "ax+b" where "a" and "b" are constants.

9= 3 2 so 9 3x+1 = 3 2(3x+1) = 3 6x+2 y= 6x+2 where a=6 and b=2
LB
Answered by Laura B. • Maths tutor
19986 Views