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Example; Let vector v = (2,5,2) and vector u = (1,-2,3),then u · v = [(2 x 1) + (5 x -2) + (2 x 3)] = [2 -10 + 6] = -2 As the workings hopefully make clear in the line above, the general formula for the s...

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the orig...

Fist draw a table of the sequence with each number's corresponding n value.1 2 3 4 5 9 16 25 36 49Now draw a table for each option and see if it matches, it is important to remember to carry out the sum w...

This question is example of product rule. To simplify need to define two terms u=4x+1 and v=ln(3x+1). Each term is then differentiated. du/dx=4. To differentiate v, need to define another term a=3x+1, the...

Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants an...