20s 3y+2 3z+3/ 1. If det u X. w = 9, find 2 3 1 5u – 15 v – 6 w 9 | det -20 -8 -12 15x +5 3y+ 2 3z+3,

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: (4) Suppose that z = xy², then =( (A) xy2 (B) 0 (C) y² (D) 2xy (5) Suppose that 4-{(rw) 6 ²2 2 ).…

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Q: If zy² = In(xy) – e*², dz then dx 1-xz²e² A) ry²+2zx?erz² B) 1+rz?c=? ry²+2zx²ezz² C) 1-rze*:²…

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Q: 6. Given that z = u' + 2v – x + 3y; u = r´ - s', v = r´ + s´, x = 2rs, y = 4. Find 2 =r dz(r, s, h,…

A: Given, z=u2+2v2-x2+3y2u=r2-s2 v=r2+s2x=2rsy=2rsTo find: dz(r,s,h,k)

Q: y dy Find ·S- using the substitution +5=√√√y+2 √√y+2 (√x+2-5)(-5√/y+2+y+21) + C © ²/(√x+2-5)…

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Q: If u = x^2– y^2 where x = 3r – s and y = r + 2s, what is du/dr ? A. 6x – 2y B. –2(x + 2y) C. 4x –…

A: Using chain rule of derivative,

Q: If F = x2 + 2yi – (3y + z)j + (3z+ cyk , then V. V at the point (1, –0, –1) is %3D Select one: O a.…

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Q: dw Let w = cos(6x – 6y), where × = r* and y = 3. Find A o dw = 18sin(6r* – 18)r³ dt O dy =…

A: Answer is Option b is correct Explanationo the solution is given below...

Q: 5 Jlgu ntinuity equation satisfied by u= 3x^2-2y^2, v=-6xy IO 4xy+y?, v= 6xy+ 3y .II O U = u=x-4y,…

A: We have to solve given problem:

Q: a2u a2u 2y дхду a²u )Find du where ax - - axây' ay? u = x3 - 2x2 + 2y3 – 6xy + y ax2

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Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: If A = 2x î + 3yĵ – z k and x = t² , y = t and z = t + 2; then the value of ſc À · d¯ from t = 0 to…

A: A = ( 2x, 3y, -z ) and C : ( x, y, z ) = ( t2, t , t + 2 ) for t = 0 to t = 1. We have to evaluate…

Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: If VW = 10, WX = 6, and VZ = 8, then ZY = %3D (A) 4.8 (B) 12 (С) 7.5 (D) 20 (E) 16

A: Here XV, and YV are the secant lines. In triangle XVZ and YVW, the angle V is a common angle.…

Q: (12) Suppose that r'(t) = v(t) = and that r(1) = Then r(t) = where the j component is (а) у() — 51 —…

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Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: ·S- y dy y+2 A (√3+2-5) (5√3+2-y+24)+C ℗(√9+2-8)(5√3+2+7+21)+C Ⓒ(√3+2-5) (5√3+2+y+24)+C…

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Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: 8z 2 Let z2 + y? + z2 = 3xyz, then which of the following is Oa. 2z-3zy O a. 3yz-2z 3zz-2y O b.…

A: Explanation of the answer is as follows

Q: If A = 2yzi -x²yj + xz ² k B = x ²₂ + y²j - xy k 2 D=ax'yzs D = 2х Find : (A.T)Ø, АПФ, (в.V) A (AxV)…

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Q: If y" – 2y' + 3y = 0, y(0) = -2, y'(0) = 1, then L{y(t)} = Y(s) = a) 2s+3 82–2s+3 b) 2s+5 g2–2s+3 c)…

A: The given differential equation is y''-2y'+3y=0 ....................(1) Let y=emt ⇒y'=memtand…

Q: XY = 7a, YZ = 5a, XZ = 6a + 24 2. O Screenshot now XY = 5.5, YZ = 2c, XZ = 8.9 Screenshot taken Show…

A: 11.  XZ=XY+YZ REPLACE VALUES 6a+24=7a+5a 6a+24=12a 24=12a-6a 6a=24 a=24/6 a=4    answer

Q: If C:7 (1) = (1+t,1-?), -1sts2 and g(x.y)=2xy+x+y+2, then g,(x.y) dx + g,(x.y) dy = a. - 17 Оь. — 18…

A: We have -  g(x,y) = 2xy+x+y+2

Q: Let f(z) = kz5 + az3 + cz.  Find u(x,y) if z = 3.9 + 6.3i , a = 5, c = 10, and k = 4. Round off…

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Q: 3. Differentiate. a) M(u) = (1 – 4u²)(u+2) b) g(x) = (-x+3)(x – 10) c) p(n) = (5n+1)(-n²+ 3) d) A(r)…

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Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=?

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Q: 3. Let x? + y² + z² = ? 3ryz, then which of the following is %3D 2y–3zy O a. 2z-3zy 3zy–2y O b.…

A: Note that, here x and y are independent variables and z is the dependent variable. So, we will apply…

Q: 1. Let T1,T2 : R3 → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) =…

A: Solution is given by using the matrix representation of given transformation as

Q: [1 1] в 3D [о 2 andD %3DA + B and d,z 3 1,d31 3 —2 then 2 х — 11 If A =|-3 y 4 1. х%3D1,у%3D -1 2.…

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Q: Given that the equations cyuv = 1 and a + y+ u +v = 0 can be solved for y and v as functions of a…

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Q: Find S- y dy using the substitution u +5=√y+2. y+2 (A) (√3+2-5) (5√/F+2-1+24) +C 3 B…

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Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y…

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Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: 1. y = x - 3x2 + 3x + 2 fonksiyonunun ,-2,2| aralığındaki en büyük ve en küçük değerini , yerel…

A: If 1st and second derivatives of a function at a point is 0, then that point is inflection point.…

Q: y dy Find ·S- using the substitution +5=√√y+2· Vy+2 ²(√y+2−5)(5√/y+2+y+21)+C 3…

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Q: If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

A: Solution A sinusoidal wave can be represented as f(x)=Asin(2πfx+P)..........(1) Where A is amplitude…

Q: (,² + 4y² )0.5_x = se!y =r!0in(r) find Ou 2 0.5 when s= 2, r = 4,t = -3

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Q: Given L 2 then L|tet JT t 2 V(s-1)° -1 V2(s-3) 1 (s-3} 2 (s- 2)³ 1 V2(s+3} 2 y(s-2)3

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Q: (D? - 1)y = 2t -4 Ost<2 t22 v(0)-0, y'(0)-1 Find Lly) L (y) =D 1+ 를-- 2e-2s 2e-2s s2 L (1) = + - 4…

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Q: o Find the Vf at the given point 2. (x,y.2)=(x² + y² + ²)² +In.xyz,P(-1,2,–2)

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Q: dw If w(x,y,z) = xe % and x= -4t, y = 4-1, z = -4 + 4t. Find di . (4-1) (4+4) 41(4 - t) -4 + 4 (-4 +…

A: Given, wx, y, z = xeyz     and x = -4t   y =4-t z = -4 +4t We have to find dwdt

Q: If F 22 + 2yi – (3y + z)j+ (3z+ zyk , then V. V at the point (1, –0, –1) is %3D Select one: O a. 8 O…

A: Answer

Q: Find ax ay2' axôy and дудх f(x, y) = x®y4 – ay? дхду дудх Evaluate them all at (1, -1) if possible.…

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Q: IfA = ze2xVi+2xycosy j+ (x +2y) k then the valueof Vx A at the point (2,0,3) is Select one: a.…

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Q: 11 f(x,y) 3x-7y+2, R is the rectangle with opposite car- ners (-1,0) and (1,3).

A: 12. Given: fx,y=2x+2y+2 and triangle with corner 0,0 To find the area of the triangle. The formula…

Q: If f(x, y, z) = In(2 + x² – 2y² – 3z), 7 =, then Duf(2, –1, 1) = - A) * V3 B) 11 C) V3 D) E)

A: The given function is:    f(x,y,z)=ln2+x2-2y2-3z

Q: r+ 2y +3z + 1 2r+ 4y +5z +1\ 2x + 3y + 4z +1 :): Let M = {| r + y +2z +1 : 1, Y, z E R}. Determine…

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Q: y dy Find S √y+2 A(√3+2-5) (5√3+2+y+24) + C B (√y+2-5) (5√/y+2¬y+24) + C 3 Ⓒ²(√x+2-5)(-3√x+2+y+21) +…

A:

Q: 2) find "c" s.t P(S? < c) = 0.95 if X:n(u, 12),n = 6, X2 = 11.10. %3D

A: