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3. If f(x) = et – 2,0 < x < 2, find the Riemann sum with n = 4 correct to six decimal places, taking the sample points to be midpoints. What does the Riemann sum represent? Illustrate with a diagram.

第5題求解，謝謝

5.(12%)A fast food restaurant has determined that the monthly demand for its hamburgers is. 60.000-x) given by p= where p is the price per hamburger, x is the number of (20,000) ( x 160004) hamburgers sold. RE (1) Find the marginal revenue when x = 20,000. (2) If the cost of producing x hamburgers is C = 5000+0.56x, 0<x<50,000. Find the profit and the marginal profit when x = 20,000. = 6000x-x² 20007 - - 6000 30000 (6cook-yo)

請問為什麼答案是負無窮，感謝🙏

Solution The average profit is Vx X 4x - Vi AP(x) =4 Vx thousand dollars per hundred units. To find what happens at a very low level of pro- duction, we examine the limit of AP(x) as x +0: 4x - Vx 1 4 - 1/Vx becomes negative and lim = lim 4 - grows large in absolute value x³0 Vx lim AP(x) r0 x=0 x We interpret this limit as saying that as fewer and fewer units are produced, the average profit derived from producing each unit is actually a huge loss. This makes sense because when only a few units are produced, fixed start-up costs dominate any revenue that may be derived from sales.

第19題求解 看不太懂題目再問什麼🥺🥺

y your answer to part (a) using an appropriate table. 18. Construct a truth table for each of the following expressions. a) '(P10) b) "PA'Q c) (P-Q)('9- "P) d) P→( QR) e) (P)R f) '(P v Q R g) '((P v 9) + R) 19. Let P be the proposition 2 = 5. If possible, find a proposition such that PvQP Q is true. If possible, find a proposition such that PvQPAQ is false. 20. a) Write the truth tables for the expressions (PHQ) - R and PH( OR). b) Find propositions P, Q, and R such that one of the two compound proposi- tions (PH2)→ R and PH( QR) is true and the other is false. -

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3. Proof that there is only one intersect point between f(x) = 5x3 + 2x2 + 4x + 1 and g(x) = 2x2 + cos x. (Hint: use the mean value theorem) (10%) =

計算機概論 關於CRC的問題 謝謝🙏

(10 pts.) The following 4 bits 1001, are to be sent over a channel along with the cyclic redundancy checks (CRC). If the codeword has n = 7 bits and the divisor is 1011, how many CRC bits will need to be added to the 4 bit message? Compute the CRC.

請問這兩題怎麼解，謝謝🙏🙏

90, Let f be a function such that f(3) = -1 and a = f'(x) = V x2 + 3. If g(x) = xºf X = X 3 = x - 2) what is g'(3)?

大一微積分 希望能有計算過程 解答看不太懂…

In Exercises 39-44, determine the values of x, if any, at which each function is discontinuous. At each number where fis discontinuous, state the condition(s) for continuity that are violated. otot tyd

Particle A and B moves relative to each other in an x-y coordinate system. The positions of particle A and B as a function of time are (1... 繼續閱讀

請問e小題怎麼算，謝謝🙏

a POPULATION GROWTH It is estimated that 1 years from now, the population of a certain 6 suburban community will be P(1) = 20 - t + 1 thousand inst . a. Derive a formula for the rate at which the population will be changing with respect to time t years from now. b. At what rate will the population be growing 1 year from now? c. By how much will the population actually increase during the second year? d. At what rate will the population be growing 9 years from now? e. What will happen to the rate of population growth in the long run?