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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
3987 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 integratin...
ZS
Answered by Zachary S. • Maths tutor
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Given that y = 16x + x^(-1), find the two values of x for which dy/dx = 0

The first thing required is to find out what dy/dx is in terms of x. For this, we need to differentiate y with respect to x which be can so to each term of the polynomial. All you need to do is mutiply the t...
JM
Answered by James M. • Maths tutor
7972 Views

Find ∫(x^3+x^2+6)dx.

∫(x 3 +x 2 +6)dx= ∫x 3 dx +∫x 2 dx+∫6dx =x 4 /4 +x 3 /3 +6x+C.
GI
Answered by Georgiana I. • Maths tutor
6546 Views

Using the trigonometric identity (sinx)^2 + (cosx)^2 = 1, show that (secx)^2 = (tanx)^2 + 1 is also a trigonometric identity.

We can divide by (cosx)^2 across the identity (sinx)^2 + (cosx)^2 = 1 (which can be derived from properties of the unit circle and a bit of Pythagoras’ theorem) to achieve [(sinx)^2 / (cosx)^2] + [(cosx)^2 /...
AB
Answered by Annie B. • Maths tutor
4256 Views