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Write in differentiable form: 1/4 t^-1Differentiate: - 1/4 t ^-2Evaluate derivative at t =8: 1/256

For the show that part of the question simply substitute all the 𝑥's in 𝑓(𝑥) with 1, as the factor 𝑥 − 1 means that 𝑥 - 1 = 0 therefore 𝑥 = 1. Once substituted in solve the equation and show that it is e...

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-a...

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....

∫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...