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find the derivative of the following equation: a) y = 5x^3 - 4x^-4 + xb

Ans: dy/dx = 15x^2 + 16x^-5 + b To solve for the first part of the right hand side, remember to bring the power of 3 forward and multiply, then reduce our power by 1 to leave 15x^2. For the second part, be c...
TD
Answered by Tutor38942 D. Maths tutor
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John and simon share £80 in the ratio 5:3 in that order, how much do they each receive?

5+3=8 80/8= 10 therefore one part = 10 john receives 5 parts, simon receives 3 john=5x10=50 simon=3x10=30
MC
Answered by Monty C. Maths tutor
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How to do Integration by Parts?

If we are given an integral where the integrand (stuff in between the integral symbol and dx) is a product of two separate functions. we then allow whichever of the functions that will be easier to different...
JB
Answered by Jonathon B. Maths tutor
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Simplify (x^5 * x^8)/(x^4 * x^4).

By using our laws of Indices we know: x^5 * x^12 = x^17 and x^4 * x^4 = x^16 Therefor (x^5 * x^8)/(x^4 * x^4) = x^17/x^16 = x^1 = x.
CM
Answered by Catriona M. Maths tutor
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What is the next number in this sequence: 15, 29, 43, 57, 71, ?

The answer is: 85 Because in the to get the next number you add 14 to the previous number
IF
Answered by Ife F. Maths tutor
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