Simplify: i29 + i²1 + i2050 in form a + bi.

Q: Q1. Solve the recurrence relation x, = 6xn-1 – 9 xn-2 with initial condition x, = 1,x1 = 4

A: We have given recurrence relation ,  xn = 6xn-1 - 9xn-2   with  x0 = 1 , x1 = 4. Take all the term t...

Q: + 2r3 + 24 + 7r3 + 3r4 314 5 + 22 + 3r2 211 4 + 12 + 213 = 1

A: The given equations are 2x1+x2+2x3+x4=54x1+3x2+7x3+3x4=8-8x1-x2-x3+3x4=46x1+x2+2x3-x4=1 We shall fin...

Q: One way to measure the amount of energy that a moving object (such as a car) possesses is by finding...

A: Solution

Q: 13. A lamina occupies the part of the disk a? + y <1 in the first quadrant. Find its center of mass ...

A: Given that a lamina occupies the part of the disk x2+y2≤1 in the first quadrant. The density at any ...

Q: Let the terms of a recurrence relation A(8)= 327.680 and A(4)=1.280. Obtain A(10)

A: SOLUTION

Q: Solve the IVP y′′ + 2y′ + 5y = 8e^(−t), y(0) = 0, y′(0) = 8

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Q: Define a relation R on Z as follows: For all integers m and n, mRn → 3|(m – n). Then 3 RE.

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Q: Please help me with this discrete math question with details on how to do it. Thank you.   Use the ...

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Q: Prove that a set A is countable if and only if there exist a surjection from B onto A.

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

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Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y whe...

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Q: Use identities +o find the exact value. COs 255° A.) JZ-J6 B.) JE - Z C.) JZ-JE D.) JE -Jz D.) J6- J...

A: We have to find the value of cos 255°.  

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

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Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations  

Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola, o...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: 5. Use polynomial fitting to find a closed formula for the sequence (an)n e N,: 1,3,11,31,69, ...

A: To find a closed formula for the sequence  a0=1,a1=3,a2=11,a3=31,a4=69,.....

Q: Question 1 (a) Determine whether or not the operator P(X) = |X| is linear, where X is any general 2x...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (Q1) for you. ...

Q: (-1)"4"+1µn+1 3n+1(n + 1) In this problem, we investigate the power series n=0 (-1)"4"+1pn+1 3n+1(n ...

A: We have to find the power series.

Q: 会if X = 2t , y = 3t find wニX +2メy, 2 - 3- find i f そ -Sin C×y) W : t -1 そ=e aud ス :そ *リ= Ln

A: To find.  The partial derivates for the given function. 

Q: AIB = A BC 4= 12,3,4, 5,6,7, 8,9 A = : { 2,3,4,5 B = { 2, 7,8,9 c ={3博, 3 ) 9子

A: Given sets are  U=2,3,4,5,6,7,8,9A=2,3,4,5B=3,4,8,9

Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

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Q: 6 - Solve the following Intial Value Problem using the Taylor method series of order 2 in the interv...

A: Given initial value problem is y'(x)=sin(x),   x∈[0, π]y(0)=1 Number of subinterval is n=4 So step s...

Q: 1-2 Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of...

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Q: 3. Consider the function f(x) = x sin(x). 3.1. Using the Taylor series for sin(x) centered at a, fin...

A: We have to find the power series of f(x).

Q: GIven the data set, find the five-number summary. Label each answer. 19, 2, 9, 5, 27, 6, 1, 7, 12, 1...

A: We have to find the five number summary of the given data set.

Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: п (4x)“ a ) Σ 2 п п-1 8

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Q: Show that the solution u(t, x) of the initial value problem du +ar-; du t > 0, x € R at u(0, x) = f(...

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Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of...

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Q: t G(u, v) = (6u + v, 32u + 9v) be a map from the uv-plane to the xy-plane. Find the image of the lin...

A: We have to find the equation of line in slope intercept form.

Q: Consider r² – 2x +1 if r 1. Determine if the following functions are continuous on the interval I. ...

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A – int A | (...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Prove that each of the following subsets H of M2(R) is a subgroup of the group G of all invertible m...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: the box that minimize the amount of material used. st, find a formula for the surface area of the bo...

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: The expression 3 + 4i is a complex number. Compute the modulus of complex number. a. 4 b. 5 c. 6 ...

A: Given complex number is 3+4i. We compute the modulus of this complex number.

Q: The ORIGINAL TRIANGLE NEW LARGRR TRIANCEE NEW GMALEF TRIANGLE Hyptenure Langer Leg Shoger Leg

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Find the value of unknown. 7:21—___:33

A: Given that  7 : 21 - __ : 33

Q: 4-Jen draws two points, one at (-5v3,5) and the other at (-1ü, -1uv3). She then draws line segments ...

A: Introduction: Suppose, the coordinate of a point P is x,y. If a line is drawn from the origin, as a ...

Q: Given the following vectors u and v, find a vector w in R4 so that {u, v, w} is linearly independent...

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Q: 4)Given determine

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v ...

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Q: Suppose that G is a graph withn vertices such that every vertex has degree 4. If graph is represente...

A: Third option is correct one.

Q: What valus e a, b,c,d that that mwhe this -1 3. 3. - 5 5 4 consitents A xx B . ---~

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Q: Find f. f"(x) = 48x2 + 2x + 10, f(1) = 1, f'(1) = -5 %3D %3D f(x) = 4x + + 5x2 - 25 71 %3D 3

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Q: fi(x1, x2) 2x} – x3 – 1 = 0 X1x – x2 – 4 = 0 f2(x1, x2)

A: Given linear system is f1(x1,x2)=2x13-x22-1=0f2(x1,x2)=x1x23-x2-4=0 Newton method's formula is x1n+1...

Q: aw 4 - find zu me aw i f w : tan () and X = U COSU y = u sinv .

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Q: Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort of ...

A: If the difference between two successive terms in a sequence is constant, then the sequence is an ar...

Q: 1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and...

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Q: Assuming a group has one uniform rate, 40% of the group receives a 10% rate increase and 60% of the ...

A: We will consider that the group has total 100 members and each member of the group has a uniform rat...