Let a C A = d e f i and h i В 3D | d — а е — b f-с -2a -2b -2c . If det(A) =2, what is det B? 4 -4 -2 None of these

Q: Let a A = |d e ghi Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A-) -- a (d)…

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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: 23. Find the standard form of the equation. 81x -162x +36y² – 144y – 2691=0 (x-1)° , (v– 2)* - 1 [A]…

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Q: Q3) If f(x, y²) = x² + y² + vxy find af(x².y) and (x²y) ax ду

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Q: (c) T =1-2+2-3+3-4+4.5+...+1000-1001 100 (d) U=Ef(k), where f(x)=6x² +9 %3D k=1

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question.…

Q: A E F B CD 1 AB, BE I AC AC = AB, AD = 4x-5 AE = 2x + 7, mZA = 3x +8. 9. Find m2C 10. AAEB = AADC by…

A: This question can be solved by applying ASA congruency.

Q: 33]x = C],B = [] then, 4,l = f A = %3D 1. 16 2. 4 3. S 4. - 12

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

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Q: If F(s) = 1/(S-2), then f(t) is %3D a) e²'u(t) c) u(t-2) d) e"'u(t) -2t b) u(t +2)

A: Given Fs=1s−2 We have to find the ft Use definition of inverse Laplace transform, which is given…

Q: z(z² – 1) -dz z2 + 1 1 ²-In(z² + 1) + C A B z² + In(z² + 1) + C 글(22+ 1)2+C (D) z² + (z² +

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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: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

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Q: a2f a?f a?f Find and ax2" ay²' əxəy' 1. дудх f(x, y) = e3x + 2y ax? a2f ay? дхду дудх Evaluate them…

A: We have to check

Q: If G(2) = S. 4t° -2t J-4x TeA _t² +3 dt, then G(x ) = 0. ett True False

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Q: 11. (D* – 16D²)y = 0 a. y = C, + C2x + Cze¬4* + C,e¬» b.y = C, + C2x + Cze** + C4@4* c.y = C,x +…

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Q: If f(z)=z2+1 then u(x,y) = x2+y2 o x² – y² + 1 x2+y?-1 o x² - y2 O

A: Option (b) is correct. x^2-y^2+1

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: a C Let A = d e f, and h 3h B 2d 6e 2f Suppose that det(A) = 2, a 36 find det((AB)"). (a) 24 (d) -…

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Q: By substituion, u=(y/x) in equation xy'=(x2+y2)1/2 we have u'*x+u=(?)1/2. a) u b) u2 c) 1 d) u3…

A: Substitution in differential equation

Q: ) The general solution of (G) is: V2 a. u(x, t) etwr w2 |dw. 27 +*[1+ w°e¬w*«j]dw. - w²/2n b. u(x,…

A: The answer for part (5) is C.

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

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Q: If u = f(y + ax) + (y-ax), then to №² u №² u (a) a² (b) dy² 2 Əy² 2 (c) - a². (d) a №²u น 2 Əy² №² u…

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Q: W is between X and Y on XY. WX = x + 10, WY = x-6, and XY = 10. Which of the following equations…

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Q: 3 If = u(1) = () a1 du dt ° ) u(t) where a2 u1 (t) and u1 (t) = B1e + B2et u2 (t) %3D and u2 (t) =…

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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: b с a+х b+у с+z a [E] If A = |p qr = 6, evaluate det (A) where A = 3x Зу 3z -p -r

A: This question is based on determinant properties.

Q: = 18 z 12 + 3 y k, s is the surfuce 2x + 3y + 6z =12. Evaluate SS F. A

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: Let f(z) = az4 + kz3 + bz?. Find v(x,y) if z = 2.9 + %3D 7.9i , a = 19, b = 16, and k = 3. Round off…

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Q: (a) |z – 1+ il 1

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Q: If f(x, y) = (8x2 + 8y³)³, then f_(0,0) %3D %3D A) 0 B) 2 C) 8 D) 1 E) Does not exist

A: Let us consider the two variable function f(x,y) Partial derivative of the function with respect to…

Q: 1) Let F = xi + yj + zk and (g(r) = In(r3) where | T = IF find 729 ĝ· (V × ƒ) (2) If you know that 9…

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Q: Find the general solution of the equation ¤(x – 1)y" – (2x – 1)y' + 2y = 0 by the reducing the…

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Q: Let f(z) = az4 + kz3 + bz2.  Find u(x,y) if z = 6.2 + 2.4i , a = 6, b = 18, and k = 3. Round off…

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Q: Q3) If f (x, y²) = x² + y² + Vxy find : af(x²y) %3D and (x2y) ax ду

A: This question is based on Partial differentiation.

Q: x' Ax + b(t), where 1 -1 1 A = -1 1 1 1 1 1 and e2t b(t) e2t 2e2t Hint: det (A – AI) = -(2 – A)²(1…

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Q: #3 Evaluate F. dr. F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t²j, -2 st< 2

A: Given problem:-

Q: Which of the following is true A All of the above (D-xXD+x) (D+xXD-x) (2D- 1)(3D + 2) = (30+2)2D-1)…

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Q: (: :) -(; 1)-(:; a +e+1 b+f +2 c+g -1 d+h – 3 a e f g h nd «(::)- () a b aa ab c d 2 1 2 1.1) If u =…

A: The addition and multiplication is defined as follows  abcd+abcd=a+e+1b+f+2c+g-1d+h-3 and…

Q: If x'y" – 3xy' + 3y = 0, y1 = x, y2 = x³, y(1) = 2 and y'(1) = 0 then find C1 and c2 (a) C1 = 3, c2…

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Q: The solution for the IVP: -00 %3D u(x, 0) = 2 x u(x, 0) = -e-x O a u(x, t) =x+ -(x+21)-e-(x-20) 4 O…

A: Known fact: For the system, utt=c2 uxx,   -∞&lt;x&lt;∞, t&gt;0ux, 0=fxutx, 0=gx The D-Alembert's…

Q: C (7,1) and r = (x - h)2 + (y – k)2 = r2 O 0 = 1 + A+ X(q+ zA + zX

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Q: z=xln(x2+y2−e4)−176xy, x=tes, y=est.  If the value of    ∂z ∂t   when  s=2 and t=1  is equal to…

A: we have to partial derivative by using chain rule

Q: (a) Vx €R, if x=-1, then x--I (b) 3x €Za vy e Z. (x+y)= (c) Vm, Vn € Z, if m+n is even, then m is…

A: Given:- a) ∀x∈R , if x2=-1,then x4=-1 b)∃x∈z∋∀y∈z(x+ y)5=x5+y5 c)∀m,∀n∈z , if m+ n is even, then m…

Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) –…

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Q: Find the standard matrix representing each given linear transformation.

A: Given: a) L:ℝ2→ℝ2 is defined by L (u1u2)=-u1u2            ...................(1) b) L:ℝ2→ℝ2 is…

Q: dx Evaluate: xV x2 +4 Vx² +4 - 2 +C Vx² +4 +2 Vx²+4 - 2 ® zin x² + 4 +2) B + C None of the given…

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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

Q: If f(x,y) = x² – 2y², x = u – v and y = u + v then df (x,y)/dv is equal to: a) O -2(u2 + 6uv + v²)…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.