use an appropriate substitution to solve the given separable differential equation. dy/dx=xy/2x-1

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. -

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

Z (b) Use the acceleration curve from par (a) to estimate the 10 seconds. What are the units for jerk? 45) The lel defined ||||| V has a vertical tangent line at (0,0). and jerk at = 38, Let f(x) = V. x ( (a) If a 40. use Equation 2.1.5 to find s'a). (b) Show that f'(o) does not exist. (c) Show that y- (Recall the shape of the graph of f. See Figure 1.2.13.) 39. (a) If g(x) = x?, show that g'(0) does not exist. (b) Ifa * 0, find g'(a). (c) Show that y = x2 has a vertical tangent line at (0,0). c (d) Illustrate part (c) by graphing y - x2) if the sided (a) F | 40. Show that the function f(x) = |x - 6 is not differentiable at 6. Find a formula for and sketch its graph. (b) Where is the greatest integer function () = [x] not

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

求解21,22,38🙇 section1.3不用理他 equation 2.1.5是微分的定義式

(d) Use the definition of derivative to prove that your guess in part (c) is correct. 14-21 Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative. 14. f(x) = 3x - 8 15) f(x) = mx + b 16. f(x) - 4 + 8x - 5x? (17) f(x) = x - 3x + 5 18. f(x) - x + V g(x) - 19- x? - 1 20. f(x) 21s(x) x2 2.x - 3 (hours) arger. The graph hat the battery purs). (r)? graph - a 22.) a) Sketch the graph of f(x) - V6 - x by starting with the graph of y # and using the transformations of Section 1.3. (b) Use the graph from part (a) to sketch the graph of f! (c) Use the definition of a derivative to find f'(x). What are the domains of f and f'? (d) Use a graphing device to graph f' and compare with your sketch in part (b). lo-TE 23. (a) If f(x) = x + 1/x, find f'(x). (b) Check to see that your answer to part (a) is reasonable by JE comparing the graphs of f and f'. 1 (hours) shows how 24. The table given tho hai

可以幫忙看答案是否有誤嗎？謝謝

u. WUP 3. Tablet PCs: Cost, CPU, and Operating System. Refer to Table 1.6. ratio a. What is the average cost for the tablets? 587.9 b. Compare the average cost of tablets with a Windows operating system to the (負銀系) average cost of tablets with an Android operating system. Windows : 133.2, Android: 438.5 c. What percentage of tablets use a CPU manufactured by TI OMAP? 70% d. What percentage of tablets use an Android operating system? 40%

請問a、b怎麼做 謝謝

(a) If g is a twice differentiable function and f(x) = xg(x?), find f" in terms of g, g', and g". () = If F(x) = f(xf(xf(x))), where f(1) = 2, f (2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6, find F'(1).

第46題 一直不是很確定😅🥺🥺

54. Differentiability and Continuity on an Interval Each figure in Exercises 43–48 shows the graph of a function over a closed interval D. At what domain points does the function appear to be a. differentiable? b. continuous but not differentiable? c. neither continuous nor differentiable? 55 5 Give reasons for your answers. 44. y 43. y = f(x) y D: -3 = x < 2 2t y = f(x) D: -2 < x < 3 2. 1 1H -3 X X -3 -2 -1 0 1 2 -2 -1 - 1 2 3 10 -1 -1 - 27 -27 45. (46. y y y = f(x) D: -3 < x < 3 y = f(x) D: -2<x<3 3 RE w 1 -3-2-10 -1 X -2日 2 1 2 2 -2 -1 01 1 3

請問這三小題要怎麼寫⊙﹏⊙

64. Let f be a function that is differentiable at x = c. noa. Explain why f(x) – f(c) f'(c) = lim X - C - X->C

第26題算法

23-26 Use a table of values to estimate the value of the limit If you have a graphing device, use it to confirm your result graphically 30 1 + p' 23. lim 24! lim 0-0 tan 20 2 p=-11 + p' 15 2.5 - 5' - 1 25. lim." ->()+ 26. lim 10 1