Top answers

F = 5i + 3j. Find the magnitude and direction of F?

i is the unit vector (magnitude of 1) in the direction of the positive x-axis. j is the unit vector in the direction of the positive y-axis. The magnitude of F would be the length of the hypotenuse of a righ...
RI
Answered by Rafiqul I. • Maths tutor
21332 Views

Given the area of the pool is 63m^2, what is the value of x?

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x 2 +10x+240 = x 2 +10x-390 = (x-3)(x+13) x-3=0 so x=3x+13=0 gives x=-13, which cannot be ...
TG
Answered by Toby G. • Maths tutor
3437 Views

Two functions, y1 & y2, are given by y1=x^2+16x+4; y2=2(3x+2). Find analytically the volume of the solid created by revolving the area between the two curves by 2pi radians around the x-axis. N.B. y2>y1 on the interval between the points of intersection.

Setting the two equations equal to one another to find the intersection boundaries:x^2+16x+4=6x+4; x^2+16x+4-6x-4=0; x^2+10x=0;x(x+10)=0; x=0, x=-10. Setting up the volume of revolution (N.B. Due to typing r...
FG
Answered by Filippos G. • Maths tutor
2485 Views

Find exact solution to 2ln(2x+1) - 10 =0

Isolate the 'ln term' 2ln(2x+1) = 10ln(2x+1) = 5 Take to the exponential power form e^(ln(2x+1)) = e^52x+1 = e^5 Simplify 2x = e^5 -1x = (e^5-1)/2
JD
Answered by Johnny D. • Maths tutor
4407 Views

A roll of card has an area of 43 m^2. A postcard has an area of 125 cm^2. How many post cards can be cut from the roll, assuming there is no wastage? (calculator question)

This question is assessing your knowledge of units and their conversion. Notice that the area units of the roll of card and the postcard are different, so it is important that before we carry out any calcula...
HG
Answered by Hafsah G. • Maths tutor
3424 Views