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Solve the equation sin2x = tanx for 0° ≤ x ≤ 360°

sin2x = tanx Take everything to left hand side, so LHS equals 0sin2x - tanx = 0Recall double angle formula : sin2x = 2sinxcosx, also notice that tanx can be written as sinx/cosx givi...

SM
Answered by Shea M. Maths tutor
19224 Views

A nucleus of the stable isotope Pb(208,82) has more neutrons than protons. Explain why there is this imbalance between proton and neutron numbers by referring to the forces that operate within the nucleus.

Must include 3 points from 1-5 and 1 point from 6-7 for 4 marks.1.Strong nuclear force (SNF) affects nucleons or protons and neutrons.2. SNF attraction extends up to 3 fm (allow 1–4 fm) 3...

Answered by Physics tutor
7034 Views

What is the total capacitance of a circuit containing a 3microfarad capacitor and a 2microfarad capacitor in series.

For capacitors in series (1/Total capacitance)=(1/capacitance1)+(1/capacitance2).1/C=[(1/(310^-6))+(1/(210^-6))]^-1Total capacitance=1.2*10^-6=1.2microfarad

Answered by Physics tutor
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A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.

Firstly, we define a tangent as a straight line touching a curve at 1 point only.We can describe a straight line using this linear relation:y - y1 = m.(x - x1)We know a point on this...

JP
Answered by Joshua P. Maths tutor
4264 Views

Let p and q be different primes greater than 2. Prove that pq can be written as difference of two squares in exactly two different ways.

Without loss of generality claim p > q.Now, we try to write pq in the form pq = a2-b2 where a and b are non-negative integers.If b = 0, then pq = a2. But p and q are di...

TL
Answered by Theodor L. STEP tutor
2194 Views

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