If zy = In(ry) – ", then = A) -z B) I+ C) 1-7 D) E) -e zy-2:ze O A В O E

Q: f 24 f =1, and y # 0 where a # 1, what is y in terms of a? а - 1 у A) y= 2a - 2 B) y= 2a - 4 C) y =…

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Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

Q: 5. If u = 2x +1, find 4 if x =1 dx a) 6 b) 4 c) 2 d) 0

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Q: W= 1-Xy"- Ż Find ニ Wそそ 3 Wzx DWyz (6)W xz 9. 3.

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Q: X=4uv-2u, y= - (uv +8uvw), and Z:9uvw Find acx.y,z) =

A: We have to find Jacobian.

Q: e5 + - s*) dx= 5*+1 +C I + 1 5 A) True B) False

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Q: ydy 3. Jo (a2 – y2)z

A: Topic:- integration

Q: Ax) = 2& + 2) -2 -1 1 2 y

A: Given, Exponential function f(x)=2(x+2)

Q: 1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H…

A: We will use given definition to find the solution.

Q: 4. Let c+ d -c a+b . а - с с-d (e+ 2d 20 +1) = (d c a). %3D for some a, b, c, d ER. Then a + b+c+d%D…

A: To find  The value of a+b+c+d

Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1: Let u = (-3,2, 4) and v = (2, -4,6). a) Find u o (v), b) Find u x v. c) Find Proj,u.

A: Here given that                        u=(-3, 2, 4)                and  v=(2, -4, 6)

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C…

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Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

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Q: (含) 4 dy The order of the differential equation: d'y +y= 0 is_ dæ3 dx?

A: The Order of a differential equation is the power of the highest derivative. So here the highest…

Q: 4) y = v4 - 2x +5 5) y = v3x + 2 - 1 6)y = V2x + 7

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Q: E va luate 2. Cx +y+Z)dydxdも

A: Given integration is                                                     ∫-11∫01∫02(x+y+z)dydxdz

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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Q: 9) ZXWY = ZZWY. Find XY. 15 24 Y 21

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Q: 3xy 8) 2.x1. 4yx² 10) (2m *)

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Q: 6. e2x dx 3.

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Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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Q: S dx 4+e*

A: follow next step

Q: If = x - 4x +1 and y(3) = 8, find y. 2.

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Q: U %3D {x\x € N Лх> 1},А %3D {-2, —1,0, 3, 6, 7, 9}, С %3D {6, 7, 8,9, 12,13}. Find: a) AnC b) AUC с)…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Jae sIT expressed what IS rectangular firm? in A. -I tiì C - B 1- D. Ja -i

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Q: az if z : 2x What is 5y A) 2x/5 2 B) 5y -22 C) 5y2 D) Not enough information.

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Q: 3. Find the value of y when x = 0. a) y= 3x - 1 b) y= -0.5x + 2 c) y= 2x = 3(0) – 1 = -1 =-O.5LO)+a=…

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Q: Let å = [3,-2,1]; B = -21-1-2k; č= i+j;d36j. %3D nd (6+).d)? A) -2 C) -3 G) i + 2j - 2k B) 2 D) -1…

A: a→=3, -2, 1,  b→=-2i-j-2k,  c→=i+j Now, b→+c→=-2i-j-2k+i+j=-i-2k

Q: c-G ) --G ) -() A-5 ABC. -: 1 1) AT- BT +C 2) C

A: C=(2351);B=(2-13321);A=(315011)

Q: -0.5 -1.5 A) (x- 3)² + (v +2)² =9 B) (x- 3)² + (y – 4)² =1 C) (x- 3)² + (y + 2)° = 1 D) (x- 3)² + (y…

A: From the above picture it is clear that the center of the circle is at the point (3,-2). Now we need…

Q: Q1) Let U = {a, b, c, d, e, f , g,h, i, j}, A = {a, b, c, d, e}, B = {a, b, d, f, g}, C = {a, d, e}…

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