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rearrange c=(4-d)/(d+3)

c = 4-d/d+3 x d+3 = c(d+3)= 4-d = cd +3c= 4- d = cd+d=4-3c. = d(c+1)=4-3c = d= 4-3c/c+1
VY
Answered by Verina Y. • Maths tutor
7816 Views

Find integer solutions for m - n(log3(2)) = 10(log9(6)).

From the properties of logarithms (log b a = log c a / log c b), 10log 9 6 can be rewritten as 10(log 3 6 / log 3 9). Since log 3 9 = 2, 10log 9 6 = 5log 3 6. We then bring both log terms to the same side of...
TK
Answered by Tristan K. • Maths tutor
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PQR is a triangle with vertices P (−2, 4), Q(4, 0) and R (3, 6). Find the equation of the median through R.

(1) Find the Midpoint of PQ which is (1,2) (Halfway between the x and y coordinates)(2) dy/dx for M(1,2) -> R(3,6) = (6-2)/(3-1) = 4/2 = 2(3) y =mx + c so y = 2x + c when R(3,6) is input 6 = 2(3) + c, c =...
SH
Answered by Scott H. • Maths tutor
4956 Views

Why is ꭍ2x=x^2+C?

Differentiating x 2 gives dx 2 /dx=2x. Differentiating a constant C gives 0. d( x 2 +C)/dx=dx 2 /dx+dC/dx=2x+0=2x. Since integration is the inverse function of differentiation, integrating 2x gives x 2 +C.
LD
Answered by Larisa D. • Maths tutor
6171 Views

Find the stationary points of the curve y (x)= 1/3x^3 - 5/2x^2 + 4x and classify them.

To find the stationary points of the curve y(x), you must first differentiate the equation for y(x) in terms of x. This gives d(y(x))/dx = x^2 -5x +4. Now set this differential equal to zero and solve for x ...
DR
Answered by Danny R. • Maths tutor
6528 Views