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Modified True or False. Write MATH if the statement is true otherwise change the underlined phrase or expression to make the statement correct. 1. The process of computing the derivative of a given function is called differentiation. ( MATH ) 2. The acceptable notations for the derivative of a given function fdefined by y = f (x) arey's dy Day , f'(x). F A: The acceptable notations for the derivative of a given function fdefined by X 3. The derivative of the sum of two differentiable functions is obtained by taking the sum of their derivatives. (MATH) 4. The derivative of a constant multiple of a differentiable function is obtained by dividing the derivative of the given function by the constant. F 5. The function y = log, (x* + 4)* is also equal to.4 log, (x= + 4). MATH 3 -12 6. Ify = 1x-1 , then MATH dx (4x-1)2 7. Iff(x) =(x3 + 3)(2x + D).then f'(x) = 6x- - 2x - 6. F A: f(x) = 6x= + 2x + 6 8. Ify= Inva -1then dy X 72-1 MATH 9. The first rule to apply in order to differentiate f(x) = ([3x -1)(4x+5)3\\ is quotient. F 7x+3 A: Multiply by constant or the product ruleFor members 17 - 20. A monopolist faces a demand function p = 46 - 4x, where p is measured in hundred pesos per unit. It has a constant marginal cost of PhP6 per unit and a fixed cost of PhP21. Assuming that the monopolist maximizes profit, determine the following: 18. total revenue function. a. TR(x) = 46x - 4x2 b. TR(x) = 46-4x C. TR(x) = 46x - 2x d TR(x) = 46x + 2x2 19. total cost function. a. TC(x) = 6x* +21x b. TC(x) = 3x*-21x c. TC (x) = 6x + 21 d rc(x) = 3x +21x 20. total profit function. a. TP(x) = 40x - 2x2 -21 b. TP(x) = 46x +2x -21 c. TP(x) = -4x + 40x -21 d TP(x) = 40x -4x' + 21 21. the number of units that will maximize profit. a. 20 b. 25 C. 10 1 5 For members 21 to 25. Given the demand and supply functions: p = 5:100 - x and p = - + 10 where p is in pesos and x is the number of units. 22. Which equation represents the supply function? 3. p=x' +60x - 3456 b. p = 5V100 -x C. P= =+ 10 d p= 90 --x 23. Compute the market equilibrium quantity. a. 40 b. 96 C. 60 d 36 24. What is the market equilibrium price? a. Php40 b. Php96 C. PhP60 d PhP36 25. Find the consumer surplus under perfect competition. a. PhP2340 b. Php540 c. PhP3066.67 d PhP186.67 26. Determine the producer surplus under perfect competition. a. PhP2340 b. PhP540 c. Php3066.67 d PhP186.67
