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simplify: 2x^4 - 4x^(-1/2) + 3integrate each term: (2/5)x^5 - 8x^(-1/2) + 3x + c

a)For any function y = f(g(x)) the differential will take the form dy/dx = g'(x)f'(g(x)).(This is because of the chain rule,y = f(u), u = g(x)dy/du = f'(u), du/dx = g'(x)hence dy/dx = dy/du * du/dx = g'(x...

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 ...