Is the function f(z) = (x + y²)+ixy contin- uous?

Q: dt ans (3-323) ノー

A: As per the company rule, we are supposed to solve one problem from multiple problems. Therefore kind...

Q: Touching all vertices in a graph without repeating or picking up your pencil and starting and stoppi...

A: Touching all vertices in a graph without repeating or picking up your pencil and stating and stoppin...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Evaluate: 2

A: Complex number, value Using De Moiver's theorem.

Q: Solve the initial value problem y" + 2y" – y – 2y = 10 sin(x) with y(0) = 1, y'(0) = -2, y" (0) = -1...

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Q: Find the limit of the sequence n cos n n² + 1' an

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Q: 2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant...

A: To show: detIn+xy*=1+y*x for any x,y∈ℂn   To compute: 1+x1y1x1y2⋯x1ynx2y11+x2y2⋯x2yn⋮⋮⋯⋮xny1xny2⋯1+x...

Q: 9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b...

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: Rodrigues formula prove

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Q: The given differential equation (3D + 6D+7)y= sin r none of these stable unstable

A: First we solve the given differential equation and then check the limit exist at infinity or not for...

Q: Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph should h...

A: We have to sketch the graph of p(x).

Q: Use the annihilator method to find a general solution of y" + 4y/ + 4y = 10z³e 2=

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Q: 3. Find the surface area of the surface created when the cylinder y + 2- intersects the cylinder 1² ...

A: surface area of the surface given by equation z=f(x,y) A=∫∫Dfx2+fy2+1dA D is the region on xy plane 

Q: A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at t...

A: Please see the attachment

Q: and 7- A So1idconsistof a cowe.o ○ま radius-Y height h and a hemis Pher of radius r the dimensious at...

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Q: Use the annihilator method to find a general solution of y" + 4/ + 4y = 10zr³e 2=

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Q: Prove that a set A is countable if and only if there exist an injection of A into N.

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Q: 3. Find the solution of the nonhomogeneous differential equation initial value prob- lem dy dy – 102...

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Q: Jaden wants $25,000 in 5 years.  He can invest in a fund that earns 6% and compounds quarterly.  How...

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Q: In Figure below, what is the electric potential on the moving charge +10microcoulomb due to a source...

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Q: Determine whether each of the following series is convergent or divergent using the appropriate test...

A: Note:- Here given series are varies from n equal 1 to infinity  If given series varies from 1 to n t...

Q: The Maclaurin serles for f(x) = x²elz) is: (-2)*z*+2 (b) 00 (e) None (2)-kyk+2 2(k)xk+2 (c) 2kyk+3 (...

A: Any function which is differential then the function can be written in the polynomial  A Taylor  ser...

Q: Solve the initial value problem y" – 3y' – 10y = 0, y(0) = a, y'(0) = 8. Find a so that the solution...

A: Solve the given differential equation using the given condition.

Q: (1+d)+(1-b) (b d-) L Answer: be[(d-+b-)v d) Answer: 3. If nis divisible by 9, then f is divisible by...

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

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Q: 5) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-card hands are possible? ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Given: A(1,1,0) B(-2,3,-4) P(-3,1,12)

Q: Example Let -- [1 -4 4 A = 2 -6 5. -5 4. The characteristic polynomial of A is CA(A) = -(A + 1)² (A ...

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Q: E FO Figure 1

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Q: [1 27 3. Let A = 1 3 Let the vector space V consist of all 2×2 matrices а X : с d b such that AX = X...

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Q: Obtain the general solution of the following differential equations. 4. x(x² + y*)*(ydx -xdy)+y°dy =...

A: We have given differential equation ,  xx2 + y22ydx - xdy + y6dy = 0 Clearly , this is homogenous di...

Q: Determine the odds in favour of rolling the sum of 9 or more, with a standard pair of die. Fill in t...

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Q: 51 3 2 LO

A: Z transform of the function

Q: 1. Integrating factors found by inspection: (xy' +xy dx+(x²y² – 2 dy = 0 (xy³ + xy kdx + (x²y² – 2\d...

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: ди ди then x +y = u. 31. If u = Jy² - x2 sin-

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Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this. 

Q: Solve the differential equation x²y" – 2xy + 2y = x (1+ ln x) by using a suitable transformation.

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the...

Q: Let f be an entire function. Which of the following statements are correct? (a) f is constant if the...

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Q: Show that if E is any measurable set, then -v (E) < v(E) < v*(E) and |v( E)| < \v|(E).

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Q: Let {a,} be a decreasing sequence with a, O such that lim a, = 0. Choose all the correct statements:...

A: We choose the correct statements.

Q: 3. Let fn be the number of strings of length n using the letters A, B, C, D, such that there are an ...

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c: a =, b =, c =.

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Q: 5. Consider the function f(x, y) = x* + y* – 4xy+ 1. (a) Find all critical points of f(x, y). (b) Us...

A: Maximum and minimum of the function, using second order derivative test  

Q: 4) A box contains 5 green, 7 yellow & 10 orange pingpong balls. How many ways can 5 balls be selecte...

A: Permutations and combinations. No.of possible way to selecte gorup of different balls.

Q: Find lcm and hcf of 1. 75,85,95,105 2. 105,180 3.140,210,350

A: To find the lcm and hcf of 1 75,85,95,105(2) 105,180(3)140,210,350

Q: Evaluate the following integrals: 1) /x*. Inx". dx

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Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US a...

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Q: 6. Let A, Be M,. Show that I. If AB = A and BA = B , then A and B are projection matrices. II. If A>...

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