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Form the differential equation representing the family of curves x = my , where, m is arbitrary constant.

Differentiating the above equation with respet to y:dx/dy = m;Substituting the value of m in the given form:x = (dx/dy) y i.e. the solution is(dx/dy) y - x = 0
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Answered by Piyush S. • Maths tutor
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In triangle ABC, right angled at B, AB = 3 cm and AC = 6 cm. Determine angle BAC and angle ACB.

Using the trignometric principles,sin (ACB) = AB/AC = 3/6 = 1/2Thus, angle ACB = 30 degreesand angle BAC = 90 - angle ACB = 60 degrees
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Answered by Piyush S. • Maths tutor
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Find the zeroes of the quadratic polynomial x^2 + 8x + 15.

x 2 +8x+15 = (x+3)(x+5)So, the value of x 2 +8x+15 is zero when x 2 +8x+15 = 0 i.e. x = -3 or x = -5.
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Answered by Piyush S. • Maths tutor
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Explain the workings of a mass spectrometer

Charged particles are fired into a magnetic field (perpendicular to the motion of the particles). Using Fleming’s left hand rule, a magnetic force acts centripetally – such that the charged particles exhibit...
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Answered by Dan S. • Physics tutor
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Describe the 'reflex arc'

The relfex arc is an innate response designed to keep us safe (this means we do not consiously think about doing it). One of the most common examples for this question is a person touching a hot flame and im...
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Answered by Lauren R. • Biology tutor
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