請問這裡要怎麼換

find the average value of the given function fla) over the specified interval axeb. fm. en en een over de xelis )= x - ex + 3 lin} ex-e V= en 3-0 eat ex dx

請幫幫我ಥ_ಥ

For the following exercises, sketch the graph of the exponential function. Determine the domain, range, and horizontal asymptote. 239. f(x) = et + 2

請問第16題怎麼寫，感恩🙏

8. M () 12 -31 1 1 In Exercises 9 through 16, find all vertical and horizontal asymptotes of the graph of the given function 3x – 1 X = 10. f(x) 9. f(x) = - x + 2 2 - x 2. 12. f(t) = = t + 2 12 x² + 2 11. f(x) x² + 1 2 + 3t - 5 13. f(t) = 2 - 5t+ 6 5x2 = 14. g(x) = = - x² – 3x - 4 1 1 t 15. h(x) h(x 16. g(t) = = X X 1 V? - 4 In Exercises 17 through 32, sketch the graph of the given function. 17. f(x) = x3 + 3x² – 2 18. f(x) = x - 5.x+ + 9 19. f(x) = x4 + 4x + 4x2 20 - = = flr

求解🙏

= (S. 40. WORKING MOTHERS The percentage of mothers who work qutside the home and have children younger than 6 years old is approximated by the function sti deri 10205 hindi P(t) = 33.55(t + 5) 0.205 (0 < t < 32) where t is measured in years, with t = O corresponding to at the beginning of 1980. Compute P"(20), and interpret . 19 Source: U.S. Bureau of Labor Statistics. raph fapp your result

求解

OUTSOUNDS 39. EFFECT OF DEMAND FOR SMOKE ALARMS ON PRICE The demand function for the Sentinel smoke alarm is given by - 30 p = d(x) = 0.02x2 + 1 Bibs ist bowo 101 zigoloidla where x is the quantity demanded (in units of a thousand) and p is the unit price in dollars. Use differ- entials to estimate the change in the price p when the quantity demanded changes from 5000 to 5500 units per week.

求救 看不太懂題目在問什麼🥲

Find a function f and a number a such that f(t) 10 十 + / u dt = 2/3 t2 for all x > 0. f(x) = (x^2)/sqrtx x a = -5

第7題的第2跟3小題求解，謝謝

(1) Find (2) Find the equation of tangent line at the point dx velocity of the ball is 80 ft/s. St-tbt#Vot tho - -* bt1 80t +4000 7. (15%) A ball is thrown straight upward from the top of a 4000-foot cliff. The initial /s. S = = + ds (1) Write the position, velocity, and acceleration functions of the ball. (2) When is the ball at its highest point? How high is this point? (3) When does the ball hit the ground? How fast is the ball traveling when it hits the ground? dt = -32t+80 d's at 2-32 20

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)?

我想請問siny和cosy的y為什麼分別屬於(-90~90),(0~180)

[Inverses of Trigonometric Functions sin x and cos x] (1) y = sin-' x x A x = sin y for | x | < 1 and y E[-a/2, a/2] (2) y = cos-' x x = cos y for |x| = 1 and y € [0, 1] =

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