Question * Based on the following graph of f(x), determine how many .1: value/values at which f(x) is not differentiable. (b) 2 (c) 3 (d) 4 Queson* A child has blown up a balloon where the volume ofthe balloon increases at a constant rate of 300 cm'ls" . Determine whether the RADIUS of the balloon is increasing at the rate of 0.106 cms'l when the radius of the balloon is 15 cm. (a) TRUE (b) FALSE O (a) O (b) Queson* Consider the curve y : x2. Given that there are two tangent lines to the curve pass through the point (0 , 4). Determine whether (4 , 16) and (4 ,16) are the coordinates where these tangent lines intersect the curve. (a) TRUE (b) FALSE O (a) O (b) Question * Based on the function given, identify whether the information is correct. I f(X)=(f -4)5 o Stationary point = 0 I Critical point = 0 , i 2 (a) TRUE (b) FALSE 0 (a) O (b) Question * Given a rectangular iron block. When the iron is heated, its length and width will increase atthe rate of 8 carts1 and 3 cm"1 respectively. Ifthe length and width ofthe iron block are 20 cm and 10 cm , determine whether the AREA of the iron block is increasing at the rate of 150 cmzs\". (a) TRUE (b) FALSE 0 (a) O (b) Queson* By using the L'Hospitai's Rule, . 2 33\"' llm[4'r ] 28. .r >1 2x+5 (a) TRUE ([3) FALSE 0 (a) O (b) Ques0n* Determine whether for a given f(x) = if; , its derivative at x = 0 does not exist [f'(0) does not exist]. (a) TRUE (b) FALSE 0 (a) O (b) Queson* Given a function as y = x2 sin 2x . The differential of the function is: dy = 21(c052x + sin 2x)dx . (a) TRUE (b) FALSE 0 (a) O (b) Queson* Let f(x) = e"g(x). By using the product rule, determine whether f'(0) = 7 if given g(0) = 2 and g'(0) = 5. (a) TRUE (b) FALSE 0 (a) O (b) Question * If n is a positive integer, determine that whether (sin" xcosnx) = nsin"-xcos(n -1)x. (a) TRUE (b) FALSE O (a) O (b) Question * Based on the given diagram of the f'(x) graph, determine the interval where f (x) is increasing, and f (x) has a local minimum. f' (x) 6 (a) (0,3) and at x = 0, 6 (b) (0, 3) and at x = 1, 5 (c) (1,5) and at x = 0, 6 (d) (1, 5) and at x =1 O (a) O (b) O (c) B O (d)Question * Determine whether the following Jx) and its f'[x) is correct: (a) TRUE (b) FALSE