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Maths
A Level

Find the indefinite integral of 3x - x^(3/2) dx

To find the integral of a function you must first incease the power of x by one then divide to coefficient by the new power. So, by increasing the powers first you get 3x^2 - x^(5/2) and then dividing by ...

AJ
Answered by Alex J. • Maths tutor
4883 Views

differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0

9x^2 + 8x + 5y = dy/dx(-5x - 7)

dy/dx = - (9x^2 + 8x +5y)/(5x + 7)

HP
Answered by Hew P. • Maths tutor
3848 Views

Differentiate 8x^4 + 2x^2 + 10

Differentiating is a process to turn one expression into another, which has many uses in maths. Our expression is made up of three parts: 8x4, 2x2 and 10. 

JC
Answered by Jamie C. • Maths tutor
3937 Views

There's a school in India where only 60% of students have internet access. What is the probability of choosing eight students randomly, five of whom have internet access? (Info: Each student's internet access (or lack of it) is independent from all others

Imagine a bag of balls. Each ball represents a student, and those with A on them are students with internet access, while balls without an A are those without internet access. We know from the question, w...

JG
Answered by Josh G. • Maths tutor
3255 Views

Find the integral of (sinxcos^2x) dx

To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integra...

ZS
Answered by Zachary S. • Maths tutor
15330 Views

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