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Q: Solve the pollowing: り ( 2+J(xtjy) X=? ye! (b) (2+j)(3-j2) = a+jb a:? b:? (C) (メ-j2y) -(y-jx)-2j x=?…

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Q: Q5\ If z = x + jy, where x and y are real, find the values of x and y when 3z 3z + 4 %D 1- j 3- j

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Q: R m 1 Uo 1 2Tr dr TR²

A: Follow the procedure given below and use simple integration principle.

Q: Find r'(t) r(t) = 6Vti + t²Vtj + In(t? )k %3D r'(t) = %3D

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Q: (D² +2D+3)(e²' sin(r)) = e² (10sin(t) + 6cos(t)) true false

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Q: make outbound JÄ x -4/3B = -12Ã ·B Jän; B A 0 = the corner achieve True false

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Q: Use the one sided Greens function to solve the I.VP. -1 2 In 12, y(1) =0, y'(1)=1 412 y" +8ty' + y =…

A: Given equation is, For solving homogenous equation, By cauchy euler equation,

Q: EX: EXPress i w X.+24+2 where. w and. w in termsfu.amal.V. Z24. o..... ...

A: Chain rule: If w is differentiable function of x, y, z and x, y, z are differentiable functions of…

Q: Find r'(t) r(t) = e i + 7j + 8te'k r'(t) = %3D

A: We have to find derivative

Q: (c) If f (2) = (2³ + 6) e'0-, 10z and f' (6i) = re®̟ then what is the value of r² ?

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Q: Q3/A/ If ā = i – 2j + k , b = i + 2j – 4k and č = 2i – 3j + k Find: i) (ā x b). (ā x c) ii) (ā x b)…

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Q: UCK! For r(t) = (4t + 3)i+ t²j+ (2t² + 4)k, (a) find r'(t), (b) find r"(t), (c) find r'(t) · r"(t),…

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Q: I.W 2: Use Cayley-Hamilton to find B* and B-1 . Where [1 2 B = 0 [3 1 -1 1

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Q: df f(z, y) = x² + y°; T = ť° + t°;y= t³ + t, att = -1 %3D equals Select one: O a. -1 O b. 144 Oc. 64…

A: f(X,y) = x2+ y3 Find df/dt at t = -1

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Given z = 36t +24 and y = 252t2 + 144 da (i) dt 36 |3D dy (ii)- 504(t) %3D dt dy (iii) da (write the…

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Q: b) (i) Show that dz is a constant independent of z, and R. { Hint : z= Z, + Re"} 1 +- 2z-4 2 -z 3…

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Q: e (V2) re (2) = 1 réc2) = 3 then ofa (4)- 21441

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Q: Q2. Find |( ax b ) x clif a =i-2j +k, b=i+2j-4k, c=2i – 3j +k

A: Modulus of cross product

Q: If 0 = Ø and R= 4/2, then F2 = %3D 4V2 F, F, V8 08 O 2 04

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Q: ef. F. F. dr. F(x, y) = 9xi + 4yj C: r(t) = ti + √4-t²4j, -2 ≤ t ≤ 2 Evaluate

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Q: Į va | Vi(t? + 6t +7) dt. 4. Find

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Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

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Q: (b) F. dr = 1 |(가를 -16+ 를) C2: r(t) - Ostsi %3D

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Q: If RX = 18. XS 10, and RT = 35, then YT

A: It is given that RX=18, XS=10, and RT=35 In triangle RST, the line XY is given parallel to the base.…

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff…

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Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

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Q: Differentiate R(t) = (41 + e)(4 - Vi). %3D Answer: R' (t) =…

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Q: ,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax?…

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Q: 2. For r(t) = (4t + 3)i+t²j+ (2t² + 4)k, (a) find r'(t), (b) find r"(t), (c) find r'(t) r"(t),

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Q: Find r'(t) r(t) = 8/ti + t?Vij + In(t² )k

A: We will solve the following.

Q: C6. You h drinki a. Ac sam as t Con b. You seve coni the of a

A: a. As the sample size is really high, we can assume the z distribution. The value of z at 95%…

Q: 15. Find RS. 2r + 15 S R 3x + 5 W V U 6.r-37

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Q: Q2: * Q2: y" + ay' + by = f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t? – 1 %3!

A: Giventhat:¯y+ay'+by=ftand yp1=et+t2-1 and yp2=e2t+t2-1To find:¯a,b and ft

Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

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Q: (b) Find A° fo given that fo = 3, f1 = 12, f2 = 81, f3 = 200, f4 = 100, f; = 8 %3D %3D

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Q: {zec: 12-1+i/ 2} b. ext D = {zec: /2-1+z2} c. ext D = {ZEC: /2-1 + i] =2} d. ext D = {26@= /2-1+i)…

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

Q: b) Given 3+ j4 = ( + jy)(1 + j) Find a and y, where a and y are real numbers and show your answer is…

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Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y

Q: (c) Find A? fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, f5 = 218, fe = 250, f7 =…

A: We will find out the required value.

Q: For r(t) = (4t+3)i+t2j+(2t2+4)k, find r'(t), find r''(t), find r'(t) · r''(t), find r'(t) ×…

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Q: In the diagram below we have that ST B = 69° and CDU = 62°. %3D %3D E A S -V U Find: 1. ВСТ 2. ABT =…

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Q: d. Let g(r) = r sec(r) Find g'(r). 57 JAZL

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Q: dt if t = (8r' +2r² +3) and w = dw =(r* +2)*. Determine

A: Derivative

Q: dw when u = 0, v = 0 if w =x? + y x= 6u - 2v + 1, y = 5u + 4v - 3. Find

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Q: a b. 1. Show that det ad – bc when a = 0 & c d ad – bc + 0

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Q: Find r(t) if r'(t) = ti+ efj + 2to2t k and r(0) = i+j+ k. r(t) Need Help? Read It

A: Given data is: r't=t2 i+et j+2te2t k r(0)=i+j+k To find the value of rt

Q: b. r(t) = 5ti + 9 dj = /64 - 25t i+ 5tj. c. () = /64 - 251 i + 5ij, -sts co |un

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Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other