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Find the Cartesian equation of plane Π containing the points A(6 , 2 , 1) and B(3, -1, 1) and perpendicular to the plane Π2 (x + 2y - z - 6 = 0).

The information we are given to solve for the equation of the plane are the points A and B, as well as the equation of a plane which lies perpendicular to the plane Π we are solving for.Method 1: Since A ...

Answered by Yannick G. • Maths tutor

7704 Views

Find dy/dx if y=(x^3)(e^2x)

Use product rule. Set u=x^3 and v=e^2x. Differentiate u and v. Then dy/dx = uv'+vu' = (3x^2)*(e^(2x))+(2x^3)(e^(2x)). This problem is best explained written on a whiteboard (it's difficult to give an expl...

Answered by Joseph M. • Maths tutor

5850 Views

What is the moment about the pivot C

Uniform rod AB of weight 5g (g being 9.8) and length 4 metres rested on a pivot C which is 1.5m from B. Calculate the moments about the point C.sketch diagram of information provided weight is ac...

Answered by Talal Z. • Maths tutor

3024 Views

Use integration to find I = ∫ xsin3x dx

Use integration by parts, let U = x, the derivative of U = 1, let the derivative of V = sin3x and intergrate the derivative of V to arrive at V = (-1/3)(cos3x). Substitute the value into the formula uv − ...

Answered by Zifeng L. • Maths tutor

6210 Views

Find a solution to sec^(2)(x)+2tan(x) = 0

This question is a quadratic equation in hiding. The first step to solving this would be to expand sec^(2)(x) into 1 + tan^(2)(x) as they are equivalent. This can be derived by dividing sin^(2)(x) + cos^(...

Answered by Mohamed B. • Maths tutor

5084 Views