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what is the integral of ln(x)

answer may not be obvious at first, but by using intergration by parts, treating part 1 as lnx and part 2 as 1, you will get xlnx-1

AF
Answered by Anthony F. Maths tutor
2760 Views

If a curve has equation y=(4/3)x^3-2x^2-24x+16, find dy/dx and find the coordinates of the turning points.

y=(4/3)x3-2x2-24x+16Step 1: Understand the questiondy/dx means differentiate the function of y with respect to xturning points are where the gradient of the function changes and will...

JP
Answered by Johann P. Maths tutor
2904 Views

A curve has the equation 6x^(3/2) + 5y^2 = 2 (a) By differentiating implicitly, find dy/dx in terms of x and y. (b) Hence, find the gradient of the curve at the point (4, 3).

(a) To differentiate implicitly, differentiate x’s as normal and differentiate y’s with respect to y before multiplying by dy/dx. Therefore the differentiating the curve gives
9x^(1/2) + 10y*(dy/dx) ...

ML
Answered by Matthew L. Maths tutor
3330 Views

ABCDEFGH is a cuboid. AB=5.6 cm CH=7.2cm. Angle BCA=44degrees. Find the size of the angle between AH and the plane ABCD giving your answer correct to one dp.

Remember: sinθ=opposite/hypotenuse cosθ=adjacent/hypotenusetanθ=opposite/adjacentAC=5.6/sin(44) = 8.0615...We can then use this length to calculate the angle between AH and the pl...

AR
Answered by Alex R. Maths tutor
4198 Views

How do I skecth a grpah of y = x^2 - 7x + 10?

To plot any graph, you usually only need to find a few points that are on that graph to the sketch it. With a quadratic like this, the easiest way to do this is to find where the graph crosses the x and y...

IB
Answered by Ilaria B. Maths tutor
5954 Views

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