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Integrate 4x^3 with respect to x

integral of 4x 3 with respect to x =x 4 +C
AO
Answered by Ashley O. • Maths tutor
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Differentiate 3x^2 with respect to x

3x 2 6x
AO
Answered by Ashley O. • Maths tutor
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In this question, take 'log' to mean 'log base 5'. Solve the equation log(x^2-5)-log(x) = 2*log(2)

Note that you can not take a positive base log of a negative number. log 5 (x 2 -5) - log 5 (x) = 2log 5 (2) => log 5 ((x 2 -5)/x) = log 5 (4) => (x 2 -5)/x = 4 => x 2 - 4x - 5 = 0 => x = -1 or 5...
ML
Answered by Milan L. • Maths tutor
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Solve the

5
ML
Answered by Milan L. • Maths tutor
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Find dy/dx such that y=(e^x)(3x+1)^2.

We will solve this question with the knowledge that dy/dx = u.(dv/dx) + v.(du/dx), where y=u.v We have y=e^x(3x+1)^2. First, we want to find u & v. By splitting the function, we have that u=e^x and v=(3x...
SB
Answered by Stefanie B. • Maths tutor
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