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Maths
A Level

Curve C has equation y=(9+11x)/(3-x-2x^2). Find the area of the curve between the interval (0, 1/2). State your answer in exact terms.

The word "area" should highlight that it is an integration question to the student. The interval asked for is (0,1/2) and so the curve should be integrated between that interval.The first task i...

IA
Answered by Isha A. Maths tutor
2608 Views

How can I get better at Mathematics? I am struggling with confidence and achieving low grades.

This is a really common situation so firstly, don't panic! Everyone can do well in mathematics with proper practice and you are certainly no exception. Here's my advice:Set a regular practice time, try an...

MR
Answered by Michael R. Maths tutor
2938 Views

If x=-2,1,2 and the y intercept is y=-8 for y=ax^3+bx^2+cx+d, what is a, b, c and d

a=-2, b=2, c=8, d=-8We know d=-8 from the y interception setting x=0 and y=-8For a, b and c we must construct 3 simultaneous equations from the given information x=-2, 1 and 21.) -8a+4b-2c=82.) a+b+c=83.)...

JS
Answered by Joseph S. Maths tutor
3050 Views

Find the an expression for dy/dx of the function y=(4x+1)ln(3x+1) and the gradient at the point x=1.

This question is example of product rule. To simplify need to define two terms u=4x+1 and v=ln(3x+1). Each term is then differentiated. du/dx=4. To differentiate v, need to define another term a=3x+1, the...

WS
Answered by William S. Maths tutor
3910 Views

A curve has the equation x^2 +2x(y)^2 + y =4 . Find the expression dy/dx in terms of x and y [6]

Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants an...

LC
Answered by Lavana C. Maths tutor
3280 Views

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