Cramer's Rule iF poccible : 3x + 2y + 2 z a. y + 2z = -1 2x + 2y +

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Q: Imaginary part of f (z) =-2 z (ix+sin y - 2(r siny +xy) – 2(x² – y siny) – 2(x² +y siny) – 2(x siny…

A: We have multiply the factors by taking z=x+iy

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A: In the given question, concept of line integral is applied. Line Integral An integral in which the…

Q: Flux of F(x,y) = 5 x î +3 y ĵ across the circle x? + y? = 1 (anticlockwise) is - 8 T Can not find.

A: Use the Gauss’ Divergence theorem,: Use the Gauss’ Divergence theorem,

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Q: using Cramer's rule Solve the systen of equetion 2X +J + 군= 1 X-y +47 =0 X+ 2J - 2군 =3 %3D |

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Q: Determine the direction at t= pie/2 where R is 2sin t i + 2 cos t j + 2t k

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Q: Cnr sõui s, Use the Cauchy-Riemann equations to discuss the analyticity of the function w = z2 + 9z…

A: We know that z = x+iy then z¯ = x-iy Hence w = z2+9z¯-iw = (x+iy)2+9(x-iy)-iw =…

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A: The given function is  F(y)=2/(y-3).

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A: Use the vector to define the rule of transformation. Use the rule to shift the vertices of the given…

Q: Exer. 1-6: (a) Ure Definition (2.1) to find the slope of the tangent line to the graph'of ƒ at P(a,…

A: 1. (a) Consider the given function, fx=5x2-4x the slope of the tangent line to the graph of the…

Q: VECTOR DIFFERENTIATION: If A = cosxyi + (3xy -2x^2)j –(3x +2y)k find dA/dx, dA/dy, d^2A/dx^2,…

A: I am attaching image so that you understand each and every step.

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Q: ++.Usethechain.Rule.t.find. DZ and..Z b.. Z e cos@. rEst. 2 2.. S+t?

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Q: Exer. 1-6: (a) Ure Definition (2.1) to find the slope of the tangent line to the graph'of f at P(a,…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Cramer's Rule x + 2y + 3z = -5 3x + y - 3z = 4 -3x + 4y + 7z = -7

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Q: Qi) find Proja ã= i+zj +3K, b=zi-j+k

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: I Exercises 1 through 14. compune the imdicated values of the ghven funenion. 1. f) - 3x + 5,S0).…

A: We are given some question and we need to answer them with the given information. This can be done…

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Q: Example: Given, y = 4cx .2 %3D Find orthogonal trajectores. Tikrit 1 Civil

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Q: F(x.y)= (v; (ス)x(0,0) f(x,y). ; (x.v) 0; (x.y) - (0,0) Given the funclion aboue, fuid the…

A: Consider a function fx,y. The directional derivative of the function in the direction of a unit…

Q: Green's Theorem (8x – f,) dA = f dx + g dy %3D (Circulation form)

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Q: az az + x əx %3D Let z = f (x² – y²). Show that y ду

A: The given function is: z=f(x2-y2) Now partially differentiate above with respect to x and y,…

Q: Chain Rule [SADT15] If u = f(x, y) where x = ecost and y = e sint, show that: + = e

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Q: COMPLEX ANALYSIS 5. Evaluate the following line integral v) dz where C is the simple closed path…

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Q: Whan Activi Description: This Directions: In yo ус writi 1. y = x² +1 2. 2x- 10>: 3. x² + y² = 1 4.…

A: To identify: Function F, equation E and inequality I.     NOTE: As per our answering guidelines, we…

Q: Sinx Q.3 Evaluate . dA, where R is the triangle in xy- plane bounded by the x- axis, the line y = x…

A: Let us consider the triangle bounded by x-axis, that is y=0,y=x and x=1. The region R is given…

Q: М %3D хеу -2, х %3D 2uv, y %3Dи - v, z %3D и + v; ƏM ƏM du' dv when u = 2, v = -2 ƏM du ƏM dv %3D II

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Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

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Q: Non-parametric tests do not use the values for u or o . O True

A: Non-Parametric test is given

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Q: QUICK CHECK 1 Find the domains of f(x, y) = sin xy and 8(x, y) = V(x? + 1)y. <

A: Part (1) - f(x, y) = sinxyWe know that - Domain of sinθ = -∞, ∞ = R                   where, R is…

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Q: inntructiona: Perform a glidereflection over the I-axia and bunita to the right. Write the new…

A: To perform Glide reflection over x-axis and 6 units to the right.

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Q: Are the functions f, g, and h given below linearly independent? f(x) = et – cos(5æ), g(x) = e* +…

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A: (x-1)2+(y-2)2 = 6

Q: ue or False. Let x, y E R". If || + y = ||x – y||, then x cannot be orthogonal to y.

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Q: Part 3). Consider the right triangle shown below. Verify that y =h by using calculus principles to…

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Q: Kw) - J«(s=u°). Use the Product Rule to differentiate %3D

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Q: WHite the Nen secxand ordeequation as is equivalent svstem of hrst order equations. u"+7.5u-3.5u =…

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