Question 5(a) (3 marks) Find the gradient of the normal to the curve y = 33 sin x at x = 6 Question 5(b) (4 marks) The s
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Question 5(a) (3 marks) Find the gradient of the normal to the curve y = 33 sin x at x = 6 Question 5(b) (4 marks) The s
Question 5(a) (3 marks) Find the gradient of the normal to the curve y = 33 sin x at x = 6 Question 5(b) (4 marks) The sides of a cube are found to be 6 cm in length, with a possible error of no more than 0.26 cm. Using differentials, estimate the maximum possible error in the volume of the cube. Answer correct to one decimal place. Question 5(c) (5 marks) The volume of a cube is increasing at the rate of 18 cubic cmper minute. How fast is the surface area of the cube increasing when the length of its side is 8 cm? Hint: a cube of side length x has surface area A = 6x?.