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Let us look at an example first, imagine there is the following sequence:2, 4, 6, 8, 9, 10...Let the difference be constant d, in this case d = 2If I were to ask what would be the value of the 10th number...

Step 1: Differentiate the equation of the curve (this gives a function for the gradient of the curve at a specific point)Step 2: Substitute x value into the differential of the curve to obtain gradient (m...

Question:A block of temperature H=80ºC sits in a room of constant temperature T=20ºC at time t=0. At time t=12, the block has temperature H=50ºC. The rate of change of temperature of the block (dH/dt) is ...

=1/(2^8) = 1/256

Apply the rule for integration for parts: Integral of udv = uv - integral of vdu. Choose u to be the term simplified the most when differentiated; in this case choose u to be x as the differential of x w....