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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: 8x 4 , 2x 2 and 10. We differentiate each part seperately. The proces...
JC
Answered by Jamie C. • Maths tutor
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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, when...
JG
Answered by Josh G. • Maths tutor
3927 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 bracket must each be multiplied by both parts in the second bracket. ...
JC
Answered by Jamie C. • Maths tutor
19133 Views

What does it mean to "complete the square"?

Completing the square is a useful method of rearranging a quadratic equation so the unknown ("x") only appears in it once. The theory of completing the square tells us that we can take a quadratic ...
CG
Answered by Caitlin G. • Maths tutor
4738 Views

Consider a right-angled triangle with an inside angle of 30° and a hypotenuse of 8cm. Calculate the length of the opposite side to the 30° angle.

Recall the trigonometry rule SOH/CAH/TOA (Silly Old Hitler Couldn't Advance His Troops Over Africa). Label: Draw the triangle and label the sides with Hyp, Opp & Adj. Choose: Pick which equation to use f...
JL
Answered by Joshua L. • Maths tutor
4859 Views