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Differentiate y=4x^2+3x+9

Use the rule of "bringing down the power" and then reducing the power by 1. Start with 4x^2. "Bring down" the 2 to make (4)(2)x^2, then reduce the power by 1 to make 8x. Now repeat this w...
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Answered by Tarryn R. • Maths tutor
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a) Solve the following equation by completing the square: x^(2)+ 6x + 1= 0. b) Solve the following equation by factorisation: x^(2) - 4x - 5 = 0 c) Solve the following quadratic inequality: x^(2) - 4x - 5 < 0 (hint use your answer to part b)

a) x^(2) + 6x + 1 = 0 (x + 3)^(2) - 8 = 0 x = - 3 + sqrt(8) or x = - 3 - sqrt(8) b) (x-5)(x+1) = 0 x = -1 or 5 c) using answer to part b: (x-5)(x+1) &lt; 0 draw its graph then: -1&lt;x&lt;5
GM
Answered by George M. • Maths tutor
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integrate [xe^(-x)] with respect to x.

integrating a product of functions of x - integration by parts. integral of uv' = uv - integral of u'v. choice of u from LIATE - logs, inverse trig, algebra, trig, exponentials - choose u=x. u=x, v'=e^(-x). ...
ZP
Answered by Zachary P. • Maths tutor
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Two lines have equations r_1=(1,-1,2)+a(-1,3,4) and r_2=(c,-4,0)+b(0,3,2). If the lines intersect find c:

If the lines intersect the position vectors r_1 and r_2 must be equal at the point of intersection, so: (1,-1,2)+a(-1,3,4)=(c,-4,0)+b(0,3,2) which gives three equations for the three components: 1-a=c, -1+3a...
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Answered by Aleksandar Z. • Maths tutor
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find f'(x) of (x^2) + 3x + 2.

2x + 3
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Answered by Rohan P. • Maths tutor
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