X~N(0,1), Y~N(1,4), X and Y are independent of each other, then 2X+3Y+3 ~ ( )

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: 2x+5 Differentiate: y =

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Q: 2z + 5z + 14 If U(z) = evaluate u %3D Uz and (z – 1)

A: Solution :

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: 1000, 1000 20 40 40 - * - - - 100 100 v2 2040 40 '2040 20 40 -GM • M3 - 2000 , 2000 60 1 15 '15 5 60…

A: Here we simplify the given system and then use elimination method to solve the system of equation.…

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: (2x + 3) = 3y1 4 Select the correct response: O 2+ 12y3 2,2x + 3 3 3 Y 1 (2.x+3)3 o 12y°(2.x + 3)?

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Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: x(n) = { 2,4,5,7,0,1}

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Q: -メ~1) (メ-2) (x+3)? xp (1-X-

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Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: If y = 3, then dy de 3x+2" |3|

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Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

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Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: f(z, w)- Te-17y then 238a (72-17y) 238z (7z- 17y) 238z (72 + 17y) 238z (7z + 17y)

A: f (x,y) = (7x+17y) / (7x-17y) and we have to find df/dy given that f is function of x and y  we know…

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

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Q: (d) State the domain of the function g, f and r using set-builder notation and using interval…

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Q: Given g(x) = 6x – 15x +4x +8x–4 and )= 3x² – 3x – 1, what is the quotient ? A 2x – 17x+10 A 2x-5 B.…

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Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

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Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: csc/x+5 xp- 1) Use substitution method to evaluate Vx+5

A: Given:         ∫csc2x+5x+5dx     apply u-substitution     u=x+5→dudx=12x+5       dx=2x+5du…

Q: h(z)=-z5+8z3-5z2-7z+35      differentiate

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Q: Va +3b + Va – 3b If x=- Va+36 – Va– 3b prove that 3bx² – 2ax +3b = 0 | - -

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Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: 6y" – y' – y = 0

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Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: 1. Given the algebraic function x² xy + y² = 3

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Q: Find x, y, z, and w. X = y = Z= W = x 7 (2x y 6 - 5) (2x = ¹) ] - [ (²x - ² 9y Z 9 By + 8) ] 8 (w +…

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Q: 3(z+9)=

A: 3(z+9)=3z+9×3 By simplify the equation by open the bracket

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.