Top answers

Given y =( 2x+1 )^0.5 and limits x = 0 , x = 1.5 , find the exact volume of the solid generated when a full rotation about the x-axis .

Using V = pi* integral of y 2 between b and a with respect to x , where V is the volume of generated solid.y 2 = 2x + 1 Integrating between given limits yields a result of 3.75Multiplying through by pi leave...
DS
Answered by Dominik S. • Maths tutor
3555 Views

Differentiate y = 2xln(x)

This is an example of a question where you would use the product rule, where if y = uv then dy/dx = u dv/dx + v du/dx. In this case u = 2x and v = ln(x). So first of all we will differentiate 2x which is fai...
TW
Answered by Toby W. • Maths tutor
8702 Views

Factorise x^2+5X+6

(x+3)(x+2)To check this, use the 'FOIL' (first, outside, inside, last) method to ensure the answer is correct.x^2+2x+3x+6x^2+5x+6
DB
Answered by Darius B. • Maths tutor
2229 Views

Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x 2 +y 2 =25; y-3x=13; x 2 +(13+3x) 2 =25; x 2 +9x 2 +78x+169=25; 10x 2 +78x+144=0; 5x 2 +39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7/5;x=-3 and y=4
NC
Answered by Nadia C. • Maths tutor
3439 Views

A curve is defined by the parametric equations; x=(t-1)^3, y=3t-8/(t^2), t~=0. Find dy/dx in terms of t.

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t -3 ; dx/dt=3(t-1) 2 ; dt/dx=1/3(t-1) 2 ; dy/dx=(3+16t -3 )/3(t-1) 2
NC
Answered by Nadia C. • Maths tutor
4116 Views