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integrate( x^3+4x^2+3)dx

=(x^4)/4+(4x^3)/3 + 3x + c

Answered by Rory H. • Maths tutor

3192 Views

Solve the simultaneous equations using the substitution method. 2y+x=8 and 1+y=2x.

First point out that it makes sense to solve this system of equations using the substitution method because one of the variables can easily be isolated without multiplication or division.(Step 1:) Label t...

Answered by Chris M. • Maths tutor

3093 Views

Ella is 9 years older than Jasmine, Katherine is 4 times the age of Ella and the sum of all their ages is 72. Work out the ratio of Jasmine's age to Ella's age to Katherine's age, in its simplest form.

Jasmine's age + 9 = Ella's age: therefore, J + 9 = E4 x Ella's age = Katherine's age: therefore, 4E = KThe sum of Jasmine's, Ella's and Katherine's ages = 72: therefore, J + E + K = 72take J + E + K = 72 ...

Answered by Evie B. • Maths tutor

2035 Views

What is the correct answer if you rearrange the following, making "c" the subject? (3c+b)/2 = c + a

(3c+b)/2 = c + a To make c the subject of this equation, we first must get all the c variables together on one side of the equation.To do this, first we shall multiply both sides by 2 to remove it from th...

Answered by Matt B. • Maths tutor

2805 Views

Solve the simultaneous equations: 3x+2y=22, x=y-1

We can see that x=y-1 and therefore can sub this in our first equation, to give us 3(y-1)+2y=22. If we expand the brackets we than have 3y-3+2y=22 which can be tidied up to give 5y-3=22. If we add 3 to bo...

Answered by Katherine F. • Maths tutor

3260 Views