Question 6 Which of the following is equal to Inx - 3lny + Inz? In(x –...
Question 4 Given that f(x)= x - 4 (x + 1)(x-3) Which of the following statement is correct? As x → - 17.f(x) — - 20; as X = -1-f(x) → .. As x + - 1*. f(x) — - ~; as x = -1 f(x) - . o As x + - 17. f(x) → 0; as x + -1 f(x) → As → - 17. f(x) → 0; as x + -1 . f(x) - 0. O Question...
1 1 a) Compute the length of the curve y = Inx, for 1 < x < 2. b) Compute the area of the surface obtained when rotating the curve in question a) about the y-axis, for 1 < x < 2.
4- Find the slope of f(x, y, z) = D. Inz + 50e + yºz at P(1,0,-1) along the vector v = 4i - 2j + 4k a) 7 -2.17 b) 2.33 C) -4 3 e) 0.92 KÖnceki 4/4 Sonraki Kapat ✓ Sınavı Biti
3) Solve the following: max Inx + y x,y ST 2xy 10,x 2 0,y 2 0
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
6.4 A. Which answer describes the graph of the logarithmic function f(x) = Inx? (a) The graph goes through (0,1) and has r = 0 as a vertical asymptote. (b) The graph goes through (1,0) and has x = 0 as a vertical asymptote. The (c) The graph goes through (0, 1) and has y = 0 as a horizontal asymptote. (d) The graph goes through (1,0) and has y = 0 as a horizontal asymptote. (e) The graph is...
Question 6 The solution of the differential equation x?y" – 3xy' + 4y = 0) is Select the correct answer. a. y = cpx?+ czx?inx b. y=cqx+cax? c. y = cqx+c2xlnx (3-5 d = 1x 6-7 +cax e. y = cix+cox?
Consider the following integer program Max 2x+3y s.t 6x+7y23 x-y<12 xy0 x,y: integer Let V1 denote the optimal objective value of the above optimization problem. Let V2 denote the optimal objective value of the optimization problem obtained by dropping "x,y: integer" constraint. Similarly, let V3 denote the optimal objective value of the optimization problem obtained by dropping "x-y<-12" constraint which one of the following statements is correct? a. V2 V1 and V3<-V1 b. V1 V2 and V1<-V3 c. V2V1 but...
4. Solve the following logarithmic equation and find the extraneo root: a. logs (x 6) + logs(x + 2) 1 b. Inz Inćz +6)- Incr -4)
pls solve these three parts of the question a) Show that the vector + =(x+2y+4z)i +(2x-3y-z)j +(4x-y-22). is irrotational and find its 7 scalar potential. b) Find the directional derivative of xyz + xz at (1, 1, 1) in a direction of the normal to the 171 surface 3xy? + y= z at (0, 1, 1). c) Find the angle between the normal to the surface x2 = yz at the points (1, 1, 1) and (2, 4, 1). (6)