需要這四題的詳解🥲🥲🙏（微積分）大一

8./On what intervals are the following functions continuous? a. f(x) = tan x b. g(x) = CSC X COS X c. h(x) d. k(x) = = X sin x X T

請問這題怎麼算跟答案 謝謝！

3 X->-1, lim x +1/x+1 單選: A. 1 B. 2 C. 3 D. 0x

求這題 a 12 b 8

Farry Find the values of the constants a and b such that lim 2 Hint: Use the formula ³ - ³ = (a - b)(a² + aß + 3²)) Vax+b-2 1.

求這題～～～

9. Let f(x): = 1 , f(0) = 0 7 dx fixty) = ax (tex) +Pay) +zry) = f(x+y) dx dx for x > 0. Show that the area of the triangle, which is X bounded by any tangent line to the curve of f and the two coordinates + axes, is of 2 square units. f(0) = 0 {x

求過程 算到最後卡住了

To 1-3 -1 301 | R₂ + ZR₁ Brok: 02 6 1-5 0 - R3-R1 03-924 |-|| R4 +R₁ N 2₁ R₁ - R₂ R3+5R₂ T 0-1 3 1 3 2 01-302 ött 00 32 | 1 。 O 0622 -R2- 0 CONCE 1-3 -1 30 17 000 5-51-4 0000622 200 1-10-1 22 11

想問一下這題 因為課本沒有解答也不知道自己算得對不對

16. Chemistry: Wind Chill At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can be modeled by notenui ent to VID N ov x3 ml H = 33(10√v − v + 10.45) where v is the wind speed (in meters per second). dH (a) Find and interpret its meaning in this situation. dv zive (b) Find the instantaneous rates of change of H when v = 2 and v 5. =

請問c7.的domain和range 是這樣寫嗎？

f(x1= Di R x 2 -2 YER X20 TECH TUTOR is the range range of f1 is the domain of f, which 2.00). ✓ Checkpoint 7 Worked-out solution available at LarsonAppliedCalculus.com Find the inverse function of f(x) = x² + 2 for x ≥ 0. After you have found an inverse function, you should check your results. You can ƒ-¹ are reflections check your results graphically by observing that the graphs of ƒ and

（大一微積分） 請問這題這樣寫正確嗎？背流程寫的😅，圖一為需用到的定義 正確的話，想問紅色圈圈的1是怎麼來的？

DEFINITION Let f be a function defined on some open interval that con- tains the number a, except possibly at a itself. Then we say that the limit of f(x) as x approaches a is L, and we write lim f(x) = L x→a if for every number &> 0 there is a corresponding number 8 >0 such that | ƒ(x) − L| < ɛ if 0 < x-a <8 then

沒給角度要怎麼算啊?

Force R is the resultant of two forces P and Q. If the magnitudes of R and Q are 15 N and 7.32 N, respectively, determine (a) the magnitude of P; (9.93 N or 17.25 N) (b) the projection of R onto the direction of P. (13.6 N) B P 0 a R

請問這題求dy/dx的時候，為什麼不能用隱含數微分法來微？

例1 Find the area of the surface generated by revolving the curve 6xy=x+3 from | |x=1 to x=3 about the x-axis. 【100 成大】 x++3x² 解:6.xy = x + 3 > y= dv 1 1+(2)2 =₁/1+ 1+-x dx 4 所求表面積為 = 1 + 6x 6 2x 1 + 24x² 1 1 2 dy 1 -- dx 2 1 +--- 2x² x+ = 1 2x² 1 ·x² +· 2 2x²