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Simplify : 3a(b^2) * (a^3)b

Rearrange the terms and group: Numbers: (3*1) =3, a variables: a * (a^3) --> (1+3=4) Therefore (a^4); b variables: (b^2)*b --> (2+1=3) Therefore (b^3); Regroup: 3(a^4)(b^3)

SH
Answered by Sharleen H. Maths tutor
4440 Views

How would I use implicit differentiation to differentiate functions such as: y=tan^-1(ax^2+b) in the form of dy/dx=.....?

First you must write the function in terms on something you know how to differentiate, for example... by taking tan (..) of both sides the equation becomes, tan(y)= ax+b. We then use implicit...

CS
Answered by Charles S. Maths tutor
5736 Views

A curve has parametric equations x=2t, y=t^2. Find the Cartesian equation of the curve.

x=2t --> t= x/2 
y=t2 = (x/2)2

So the Cartesian equation is y=x2/4. 

KW
Answered by Katarzyna W. Maths tutor
15003 Views

Solve 3x+7=1.

3x+7 = 1. We can describe this equation as a stroy. First x was multiplied by 3 and then 7 was added to it to get 1. Now we need to reverse the story. 
last thing done was +7, so reversing it gives ...

KW
Answered by Katarzyna W. Maths tutor
25566 Views

Factorise and solve x^2-8x+15=0

(x-5)(x-3)=0

x-5=0 x-3=0

x=5 x=3

PL
Answered by Peter L. Maths tutor
3066 Views

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