DSC1520 Assignment 4 (COMPLETE ANSWERS) Semester 2 2026 - DUE 2 September 2026

DSC1520 Assignment 4 (COMPLETE ANSWERS) Semester 2 2026 - DUE 2 September 2026; 100% TRUSTED Complete, trusted solutions and explanations. For assistance, Whats-App 0.8.1..2.7.8..3.3.7.2... Integrate the following function a. b. c. d. e. None of the given options is correct. Clear my choice f (x) = 8 (8x+1)5 − + c 1 4 ( 8 x + 1 ) 4 − + c 8 ( 8 x + 1 ) 5 − + c 1 4 ( 8 x + 1 ) 3 − + c 8 ( 8 x + 1 ) 3 Evaluate: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ x7 (1 + 1 ) dx x7 + x + c 1 8 x 8 + x + c x 8 + 1 x 7 + x + c 1 7 x 7 DSC1520-26-S2  Welcome Message  Assessment 4 Question 3 Not yet answered Marked out of 7.00 Question 4 Not yet answered Marked out of 7.00 QUIZ Evaluate the following definite integral: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ (2x + ) dx 3 1 x3 28 30 45 , 75 25 , 57 Evaluate the definite integral: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ ( + 2x − 1) dx 3 −1 6x2 60 25 40 30 DSC1520-26-S2  Welcome Message  Assessment 4 Question 5 Not yet answered Marked out of 7.00 Question 6 Not yet answered Marked out of 7.00 QUIZ Determine the integral: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ x x2 + 5 dx −−−−− √ + c 1 3 ( + 5 ) x 2 3 − − − − − − − √ + c 2 + 5 x 2 √ 3 + c 1 2 ( + 5 ) x 2 3 2 + c 1 2 ( + 5 ) x 2 3 − − − − − − − √ Determine the integral: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ (5x + 1) dx 7 + c ( 5 x + 1 ) 8 40 + c ( 5 x + 1 ) 8 8 + c ( 5 x + 1 ) 7 + c ( 5 x + 1 ) 7 40 DSC1520-26-S2  Welcome Message  Assessment 4 Question 7 Not yet answered Marked out of 7.00 Question 8 Not yet answered Marked out of 7.00 QUIZ Evaluate: a. b. c. d. e. None of the given options is correct. Clear my choice ∫ (11x − 10 ) dx 10 x9 − + c x 11 x 10 − + c 1 11 x 11 x 10 − + c 1 10 x 10 x 9 − + c x 10 x 9 John manufactures wooden toys for a flea market. His marginal cost function is given by where Q is the number of units manufactured. It is known that his fixed costs amount to R100. John’s total cost function is a. b. c. d. e. None of the given options is correct. Clear my choice MC = 5Q + 4Q + 10 2 T C = + 2 + 10 Q + 100 Q 5 3 3 Q 2 T C = − 2 Q + 100 5 3 Q 2 T C = 5 + 100 Q 2 T C = 5 + 2 Q + 100 Q 2 DSC1520-26-S2  Welcome Message  Assessment 4 Question 9 Not yet answered Marked out of 7.00 Question 10 Not yet answered Marked out of 7.00 QUIZ Calculate the consumer surplus for the demand function when the market price is . a. b. c. d. e. None of the given options is correct. Clear my choice P = 44 Q+2 8 , 5 7 , 5 6 , 9 11 , 2 Given the demand function and the supply function And the supply function Calculate the producer surplus. a. b. c. d. e. None of the given options is correct. Clear my choice P = 36 − Q2 d P = 4 + Q2s 42 , 7 36 , 2 32 , 7 54 , 1 DSC1520-26-S2  Welcome Message  Assessment 4 Question 11 Not yet answered Marked out of 5.00 Question 12 Not yet answered Marked out of 6.00 QUIZ If the consumer surplus of a product is 400 when one product is demanded, what does this value mean? a. Consumers are willing to pay R400 more for a product than they actually pay. b. Consumers pay R400 more for a product than they should. c. Consumers are willing to pay R400 less than they actually pay. d. Consumers are not willing to pay R400 more for a product than they actually pay. e. None of the given options is correct. Clear my choice The annual rate at which paraffin is consumed at an informal settlement is given by where K is the amount of paraffin consumed per year (in litres) and is in years. We assume that when , no paraffin isconsumed ( ). Find the consumption function. a. b. c. d. e. None of the given options is correct. Clear my choice K = 1200 d dt e0,015t 80 000 + c e 0 , 015 t 1200 + c e 0 , 015 t 0 , 015 80 000 + c e 0 , 015 t 0 , 015 1200 + c e 0 , 015 t DSC1520-26-S2  Welcome Message  Assessment 4 Question 13 Not yet answered Marked out of 7.00 Question 14 Not yet answered Marked out of 6.00 QUIZ An intensive pig-fattening unit is adding pollutants (in hundreds of litres) to a river at the rate of where is the number of months for which the unit has been in operation. Calculate the volume of pollutants in the riverduring the first seven months a. b. c. d. e. None of the given options is correct. Clear my choice r (t) = √t 3 1 004 l i t r e s 100 l i t r e s 120 , 45 l i t r e s 324 , 5 l i t r e s The marginal labour cost is given by the equation Calculate the total costs for the first eleven days a. b. c. d. e. None of the given options is correct. Clear my choice MLC = 3 + 8L 517 144 178 412 DSC1520-26-S2  Welcome Message  Assessment 4 Question 15 Not yet answered Marked out of 6.00 QUIZ A tool hiring company has estimated that the rate of increase in the maintenance cost of power drills is given by theequations where is the time that the company is in operation for weeks. Calculate the total maintenance cost during the first twoweeks. a. b. c. d. e. None of the given options is correct.