Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely imaginary.

Q: What is 2 + 4 5/8?

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Q: Find the work done by the force F = xyi + (y − x)j over the straight line from ( − 1,0) to (0, − 1).

A: In the given problem, force is given and the displacement straight line is given. We have to find…

Q: Evaluate ea²zds, where S is the part of the plane z = 1+ 3x + 4y above the rectangle S [0, 5] x [0,…

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Q: Consider the following vectors 3 ------ What are the norms of the three vectors? Number (4 d.p.) (4…

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Q: You want to buy a $180,000 home. You plan to pay 15% as a down payment, and take out a 30-year loan…

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Q: Caleb is learning about proportions in 6th grade. As part of the lesson, the students are taken…

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Q: • Matrix N € Cnxn is said to be nilpotent whenever Nk = Onxn for some positive integer k. = • The…

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Q: Say that you need to compute a double integral of the function f(x,y)=xy over the region D bounded…

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Q: Refer to the following piecewise function. r-4, if x ≤-2 1(x)=√x-4 3-2x, if x>-2 f(-4)= f(-2)= f(10)…

A: Piecewise function values

Q: Find |_z²dA where R = {(x, y) | 25x² + 4y² ≤ 100} R

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Q: (1) Find the radius and the interval of convergence of the power series. Be sure to check the…

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Q: Prove that 5n²+3n+2 € O(n²).

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Q: g(x) That is, = NIX +1, h(x) f(x) = = -x+b, NIX +1 f(x) ▷ Maximise f over X = [-1, 1]; over R. = if…

A: Here the function f is given which may be continuous or not.  If f is continuous then the value of b…

Q: Consider the following. f(x) = 4x² - 8 Find the following values of the function. f(2 + Ax) = f(2) =…

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Q: Match the differential equations with their corresponding slope fields. Include a sente or two…

A: Given differential equations are: 1) dydt=y2 2) dydt=t2 3) dydt=-y 4) dydt=t-y We have to match the…

Q: (i) Let A and B be 3 × 3 matrices, and suppose that det(AB) = 0. Then det(BA) = 0 as well. True…

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Q: irectly opposite on the other side/shore. If the speed of the boat (in still water) is 16 mph and he…

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Q: Suppose that A = 2 - 2 1 1 00 0 0 1 Find the eigenvectors of A (a) Eigenvector with respect to the…

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Q: 10. If an+2 = 4an+1 - 3an and ao = 5, a₁ = 11, then an 4(2)n + 3n none of these O2 + 3n+1 2(2)n +…

A: In this problem we are to find the recurrence relation for an . The problem is solved step by step.…

Q: 3. Solve the differential equation. (a) x²y' = xy + 3y²

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Q: Use cylindrical coordinates in order dervive the formula for the volume of the following ellipsoid:…

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Q: roblem +43 pointe). Give the number of path components of each of the following symbols, regarding…

A: Definition: The path-components of X are the sets of the form {y∈X ∣ ∃ a path from x to y}, where…

Q: 54 people are competing in an athletic event. The top 4 competitors receive prize money, with 1st…

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Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5y; R is…

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Q: (6405 #4 p. 321) Let R denote the region bounded by the parabola y = -x² + 6x - 5 and the line y =…

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Q: Can we make the matrix J = B₁ = B₂ = B3 = B4 = 02 [12] Answer: J = -1 0 - 2 [²2¹] 3 8 5 1 1 36 Yes,…

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Q: Use Newton's method to estimate the requested solution of the equation. Start with given value of xo…

A: NEWTON METHOD FOR FINDING ROOTS -: FORMULA FOR FINDING ROOTS IN THIS METHOD IS GIVEN BY,…

Q: -. (f) Sketch a graph of f(x). -6 -5 T -3 -2 -1 -3 2 + 0 -1 N ♡ -4 2 3 4 5 6 to etoro to goizbaroni…

A: f(x) = e(1/x)

Q: Use the substitution to solve the symmetric equation [Hint: We have x² + 1 x6 − 8x5 + 7x² +32x³ +7x²…

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Q: Consumers' Surplus It is known that the quantity demanded of a certain make of portable hair dryer…

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Q: Find the gcd using Euclidean Algorithm 30031 and 2311

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Q: 14. How many vertices does a full binary tree with 6000 internal vertices have?

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Q: Let B = vector of 7 = E [V]B 0 1 00 {[%] [83] [28] [89]} 9 9 relative to B. -5 -2 || be an ordered…

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Q: Perform the​ addition, if possible.   8 −5 1 0 + −9 5 4 −3     Is the addition​ possible?     Yes…

A: A=8-51  0 AND  B=[-9  54-3] AS BOTH OF THE MATRIX ARE OF SAME ORDER 2×2 SO,ADDITION IS POSSIBLE…

Q: Determine which of the matrices below are mutually commuting, and, for those that are, demonstrate…

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Q: What is the power set P(S) for S = {Ø, {Ø}, {Ø, {Ø}}}?

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Q: Consider the following graph of a polynomial: -4 -2 = 15- 10- 5- 10- -15- 2 X 4 Write the factored…

A: Given: Graph of the polynomial function is given. To do: we have to its equation.

Q: 1 Let | A| = 21a1: at Ay. show that o= inf1A) iff & is an accumulation pont of A.

A: Let |A|=|a|:a∈A.  To Prove: 0=infA iff 0 is an accumulation point of A.

Q: Let A = Find the bases for Nul A Col(AT), and Col(A). 1 12 011 1 34

A: Null space: The set of all the solutions x of the matrix equation Ax=0 is called the null space of…

Q: What is the rank of each of the matrices below? (a) 1 0 1 0 0 6 010 (b) (c) (d) Д 90 10 0 1 -1 7 00…

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Q: Graph G is defined by the arrow diagram below. 3 2 What is the in-degree of vertex 2?

A: Given Graph is Degree of the Vertex: The degree of a vertex is the number of edges connecting it.

Q: A particle moves along the x-axis with acceleration give by a(t) = 2t - 10 +12/t for t >= 1.  A)…

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Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 4, above the xy plane, and…

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Q: In each diagram determine whether AB || CD Explain how you know

A: We are given 3 stes of lines. We need to find whether AB is parallel to CD. Both the lines would be…

Q: [F. dR by integrating ♬ along a smooth curve whose initial Evaluate and terminal points are the same…

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Q: 10. Show that if a <b and c <d, the function f(x) = (d-c) (x - a) + c is one-to-one and (b-a) onto…

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Q: 2. For each n E N, let fn : [0, 1] → R be defined by fn(2) = xn 1+xn Prove that (fn) converges…

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Q: Use the Fundamental Theorem of Line Integrals to evaluate F. dR where x 1 (−2x + 1)²³ y +1 and C is…

A: Given: F→x,y=lny+1-1-2x+12, xy+1+1y2+1 C is the portion of the parabola y=-x2+1 from 1,0 to 0,1.…