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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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factorise x^2+10x+21

firstly the largest power is x^2 so when factorising we know that both brackets must involve an x plus or minus a number. next we look at the 21 and we need two numbers that multiply together to get this num...
RC
Answered by Ross C. • Maths tutor
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How do you simplify numbers with powers?

This is your example problem: (m 4 ) 3 ​First of all remember what a single power means. So:m 4 = m x m x m x mThis must mean that:(m 4 ) 3 = m 4 x m 4 x m 4 ​ ​If you expand this out, how many m's will you ...
MS
Answered by Maddie S. • Maths tutor
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