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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 ...

Answered by Alex J. • Maths tutor

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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)

Answered by Hew P. • Maths tutor

3437 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.

Answered by Jamie C. • Maths tutor

3635 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
2895 Views

Expand and simplify the expression (x+5)(x+8).
This question is about multiplying two brackets together. There are two parts to each bracket: x, +3 and x, +5. The parts in the first b...
JC
Answered by Jamie C. • Maths tutor
15075 Views

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

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

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

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

Expand and simplify the expression (x+5)(x+8).

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