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What is the difference between a scalar product and a vector product, and how do I know which one to use in questions?

The main thing to consider here is the output of the operation. Vector and scalar products are both operations in which you take two vectors but then get something else. In a scalar product, you get a num...

ME
Answered by Maite E. Maths tutor
7359 Views

Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.

Step 1) x2+2x+4 = (x+1)2+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

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Answered by Anton N. Maths tutor
6331 Views

Find the integral of the function y = ln(x)

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integ...

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Answered by Anton N. Maths tutor
3137 Views

integrate 5x + 3(square root of x)

5/2 x^2 + 2x^3/2 +c

AW
Answered by Ariana W. Maths tutor
4844 Views

Work out the equation of the tangent to a circle of centre [0,0] at the point [4,3]

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

JS
Answered by Jamie S. Maths tutor
7266 Views

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