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Two lines have equations r = (1,4,1)+s(-1,2,2) and r = (2,8,2)+t(1,3,5). Show that these lines are skew.

Recall that for two lines to be skew they must satisfy two conditions:

1) They must not be parallel.

2) They must not intersect.

We shall check each condition ...

Answered by Dorian A. • Maths tutor

11414 Views

How do you find the minimum of the equation sin^2(x) + 4sin(x)?

The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equat...

Answered by Kirsten S. • Maths tutor

5126 Views

Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.

To find the line's equation, you need the gradient and the y-intercept. The gradient is found using:

(y2-y1)/(x2-x1)

Or simply (change in y direction)/(change in x direction...

Answered by Kara V. • Maths tutor

7504 Views

Differentiate 4x^2 + 2ln3x + e^x

To differentiate x² you bring the power of x down, then reduce the power of x by 1, so d/dx(x²) = 2x¹

ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x

Answered by Thomas M. • Maths tutor

7674 Views

Differentiate x^2+4x+9.

To differentiate you must look at each term separately. So for x^2 to differentiate we bring the two down to multiply in front of the x and then take one away from the power leaving 2x. For 4x, x is to...

Answered by Iman W. • Maths tutor

5964 Views