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Calculate the rate of change of y(t) = 1/(4t), when t = 8

Write in differentiable form: 1/4 t -1 Differentiate: - 1/4 t -2 Evaluate derivative at t =8: 1/256
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Answered by Sophie C. β€’ Maths tutor
1590 Views

Show that (π‘₯ βˆ’ 1) is a factor of 𝑓(π‘₯)=2π‘₯^3 + π‘₯^2 βˆ’ 8π‘₯+ 5. Hence fully factorise 𝑓(π‘₯) fully.

For the show that part of the question simply substitute all the π‘₯'s in 𝑓(π‘₯) with 1, as the factor π‘₯ βˆ’ 1 means that π‘₯ - 1 = 0 therefore π‘₯ = 1. Once substituted in solve the equation and show that it is equal...
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Answered by Charlotte B. β€’ Maths tutor
3034 Views

Describe an exponential function and the exponential decay equation.

An exponential function increases slowly at first and then very rapidly. In the case of decay it would decrease very rapidly and then slow down. It never incepts with the x-axis and only once with the y-axis...
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Answered by Alyssa R. β€’ Maths tutor
1410 Views

Evaluate log_6(12)+(1/3)log_6(27)

Answering this question requires knowledge of the logarithm rules. Mainly how to manipulate logarithms.Firstly, notice that the multiplication in front of log_6(27) can be moved to be the power of the 27. Ch...
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Answered by Christine D. β€’ Maths tutor
2050 Views

How do you solve integrals which are the result of a chain rule e.g. the integral of sin(2x+1)

∫sin(2x + 1)dx[newline]In this case the easiest way to solve the integral is to perform a substitution. The substitution should reduce the integral to something you can solve. In this case we will[newline]le...
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Answered by Sean N. β€’ Maths tutor
1661 Views