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Using implicit differentiation, write the expression "3y^2 = 4x^3 + x" in terms of "dy/dx"

To differentiate this expression with respect to "x", any terms comprising of an "x" must multiply their powers with their numerical values and subtract 1 from the power. However to di...

BW
Answered by Brendan W. Maths tutor
3377 Views

Given a quadratic equation, how do I find the coordinates of the stationary point?

Example curve: y = x2 + 4x + 5The first step is to differentiate the equation to give us the gradient at a general point. As a quadratic equation is an example of a polynomial, the solution is ...

DG
Answered by Daniel G. Maths tutor
4688 Views

Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8

Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16
Step 2: Combine the equationsIf...

RH
Answered by Rhiannon H. Maths tutor
1862 Views

Solve the following quadratic: x^2 -5x +6=0

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0
Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make on...

RH
Answered by Rhiannon H. Maths tutor
3963 Views

What is the magnitude and direction of the resultant force of 3N horizontal and 5N vertical?

Magnitude:
Find the square root of 3^2+5^2=root of 34=5.83N (3sf)
Direction:
Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The di...

RH
Answered by Rhiannon H. Maths tutor
3496 Views

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