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17合成函數前面有函數怎麼做？

8:20 ul 4G o moodle.chu.edu.tw 2.4節(p.154):7、31 1-22 Differentiate. 7. y = sec 0 tan 31. (a) Find an equation of the tangent line to the cury y = 2x sin x at the point (11/2, ). (b) Illustrate part (a) by graphing the curve and the line on the same screen. 2.5節(p.162):17、31 7-48 Find the derivative of the function. 17. h(v) = vž1 + y2 31. y = 1 + sinx COS 2.6節(p.170):31 (本題除了算出切線方程式 要用電腦畫出隱函數曲線與切線) 31. x² + y2 = (2x² + 2y? – x)?, (0,5) (cardioid) YA D 2.9節(p.197) :31、35 31-36 Use a linear approximation (or differentials) to est the given number. 31. (1.999) 35. tan 2° +

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

找出函數的定義域 9跟10 感謝

Finding the Domain of a Function In Exercises 9 and 10, find the domain of the function. 2 - 9. f(x) = x + 1 - x √x + √1x 1 10. f(x) x + 3| indi noi -

第23題 求過程感謝（綠筆為解答

e given 21. y = X Xo 2x + 3² xo = -1 = 22. y = - x + 7 - Xo = 0 = 2 y=-x+ 5 - 2x 23 y = (3Vx + x)(2 - x?); xo = 1 - 3.18 6x=12x74x+ton In Exercises 24 through 27, find all points on the graph of the given function where the tangent line is horizonta

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] =

下面兩題算了好多次都沒有結果….

(1 point) Consider the function f(x) = xe 8x, 0 < x < 2. - 0 = This function has an absolute minimum value equal to: 0 which is attained at X 0 and an absolute maximum value equal to: 1/8 which is attained at x (1/8)*(1/e)

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