du is ar Ifu = x? - y?, x = 2r – 3s + 4, y =-r + 8s – 5 then

Q: Write the general solution to y = arccos (3) y = + ±2 k 3 y = + +2 7ck 4 Oy =++2 Ik

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Q: - 1 for Ye Y, Give Ex pre ss im an

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Q: [3i If A = i i then JA| =?

A: The given matrix is A=3iii-i.

Q: d²u dv? = 4(1+ 3v)² n. u = -1 du/dv = -2 when v = -1 |3D

A: Given problem:- d2u/dv2 = 4(1+3v)2  When v=-1 , u=-1 and du/dv = -2   To find:- Particular solution…

Q: What is Ar as x goes from r=2 to r= 5?

A: Given: f(x)=5x+3

Q: of this DE?# 2x t 2xy y'= スメリ It y こC It 2x² None is correct among the choices. Option 2 2. It 2x² C…

A: Solution

Q: 7. (a) y(4) when y= 2ln 30 (b) y() ; In 2t when y = 3

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Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: 3 y`dy 3 (4 -у?): 2

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Q: If Iz – 2| < 2, then find (x,y) * arg(z),r i5

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Q: ework: dr if r= Vs+1 and s=16t – 20t. dt Find |

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Q: (V) - 22+ラソー dy 4ス+by+2 (vi) Sotwe 4e da +(ae +24) dy

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Q: Q4: Let y = √r and 1= x² then y) = Oifn= t= a) 2 b) 3 c) 4 d)5 e) others

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Q: dy If dx and y(2) = 5, then y А. х2 — у? %3D —-21 В. х2 + у? %3D 21 С. у2 — х? %3D11.5 D. x2 — у?…

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Q: iS (2) = (x + ay² – 2xy) + i(bx² – y + 2xy) is anal ytic, then the values ofa and b is

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Q: Given A is directly propotional to B and that A=24 when B=4.Find the value of B when A=36.

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Q: e) Use the fact that lima-se = 1 to show that (2e -e + 52) = 42" +c" +5

A: Since it is a multiple question, according our company guidelines we have to solve the first…

Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

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Q: There does not exist r E Q ə r² = 2 ylgn ihi

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Q: "x is between c and d" translates to csxsd O True O False

A: Given query is to find statement is true or false.

Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: P(+x | +y)? P(X,Y) Y 0.2 P(-x | +y) ? ++ +y +X -y 0.3 +y 0.4 -X 0.1 - P(-y | +x) ?

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Q: FIND X ai on A a5. Y 52% Jamaib tA oloSime Dolbio n

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Q: arla the bonded 22 ay

A: To find the area bounded by the curves x+y=2 and y=x2 proceed as follows…

Q: secx = -5, <x< TT, then cotx =? Select one: a. cotx =2/6 9. b. cotx= 12 9, c. cotx = 12 d. cotx =…

A: option B is true.

Q: Evalu‎ate ∫C (x + 2y) ds, w‎here C is the cu‎rve defi‎ned by y = √(4 − x2), for x ∈ [0, 1]

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Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

A: The given function is fx,y=tan-1yx. Find the value of ∂f∂y. Here we use the following formulas -…

Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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Q: ISE THE DEFINITION TO FIND 0くtz2 fee) = t. tz 2

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Q: Let then Y F (m,n).

A: Let ,  Now , we want to show that

Q: PS is a midsegment of AQRT. If QR = y + 91 and PS = 2y + 38, what is PS? R PS = ト

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Q: Show that if (x.g) m. is re<rz, it is 8lx,r) C Blx,g) for x Ex. U.

A: Metric or Distance: A metric or distance is a function ρ :X×X→ℝ such that ρx, y represents the…

Q: z+2 dz I cot (z?+4z-3)

A: ∫z+2cot(z2+4z-3)dzSubstitute u=z2+4z-3→dudz=2z+4→dz=12z+4du=12∫1cot(u)duWe know that…

Q: en(x² + y?) dA where D = {(x, y)|0 < y < 3, -/18 – y? <x< -y}. sen

A: To evaluate the below integral. ∫∫Dsinx2+y2dA Here  D=x,y|0≤y≤3,−18−y2≤x≤−y

Q: f (x, y) = 3x2 + y + 4xy + 8 af(z,y) What is the value of when x = 3 and y = 3? dr

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Q: 1 Evaluate -c+ 3d when c = 6 and d = 7. 4

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Q: Suppose ry 9 and (x + y) = 21. What is x? +y? ? %3D A 12 81 D. 36 3.

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Q: 1 2 1. dy 1+ y* 3/14

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Q: xy? 29. dA, R={(x, y) | 0<x < 1, –3 < y < 3} x? + 1 R

A: The solution is given as

Q: dy y+1 2.

A: Integrate as general

Q: er-y dA, R: 0 <x< In 2, 0 < y< In 2

A: we have to solve this double integral.

Q: 2rdr Jo (r2+D²) (r2 + D²)² а TO 1

A: The expression ∫mnf(x) dx  is evaluated using the formula below .  ∫mnf(x)dx =F(n)-F(m), where, F(x)…

Q: The 3. 3. an trz dz C: 21 = ans = dz, C: Iz-il=115 ans? -4isinh

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Q: where R= [1, 2] x [-1, 2] is equal to Select one: None of them √ [₁3x²- (3x² - 2y), R 0 1 18 24

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Q: 2- y = xy? O y-' +x - 1 = ce* O y +x - 1 = ce*

A: Given differential equation is dydx - y = xy2

Q: 1. If y = kVx and y = 180 when x = 36, b) What is y when x = 9 ?

A: Given that, y=kx,when x=36⇒y=180.we have to find the value of y when x=9.

Q: Find x and y in terms of a and b.

A: Given equations are: ax+by=0                               ⋯1 a2x+b2y=1                      ⋯2…