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Differentiate with respect to x. y(x) = e^(7x^2)

dy/dx = 14xe^(7x^2)

Answered by Pablo M. • Maths tutor

3426 Views

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

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

Answered by Rory H. • Maths tutor

3981 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

3934 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

2637 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

3431 Views