Find the solution of the follo wing Diffevential Equations 22) uý - 45+37y=0 y(0)=3

Q: timate the axerage amaunt Spant on entetinmest uante to Cnduct 1A markeking mseand piem wante to…

A: Given,Error margin, E=2000Standard deviation,σ=4000Confidence value =95 % To find: Minimum required…

Q: Q4) Solve the boundary value problem y 3y + 2y 0 with %3B y'(1) = 1 , y(3) = 2e* – e? h = 0.5 %3D

A: Given data differential equation y"-3y'+2y=0 with y'(1)=1    &   y(3)=2e4-e2     and h=0.5…

Q: Q1 Minimise f(x) = X;² + x;? + 2x3? – x1x2 %3D a) Determine the stationary point and check the…

A: Given, f(x)=x12+x22+2x32-x1x2 a) Stationary point:…

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Q: (1 point) Write the Taylor series for f(x) = sin(x) at z as %3D Find the first five coefficients.…

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Q: Find the shortest path between vertices a to z in the weighted graph. b. Find the length of a…

A: Here we use the Dijkstra's algorithm to find the minimum spanning tree for the graph From minimum…

Q: Sketch the graph of glx) = 2?J x + . Support the graph by a table

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Q: Fs (X | proof: HolWo

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Q: IM 6.15 1. Write another function that has the same graph as y = 2 cos(2) – 1. 2. Describe how the…

A: IM6.15 (1) To write: Another function that has the same graph as y=2cos(x)-1. (2) To Analyze:…

Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

A: We have given a integral ,  ∫04 xx2 - 9dx First we will find undefined singularity , Here , x2 - 9 =…

Q: Ql: what's the relation between prime and semiprime ideals.

A: Prime Ideals: it can be defined as a non-empty ideal Q of a ring R such that if AB⊂Q then it implies…

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A: Solution(4)   According to the given information the present value of the car is P800,000. Now the…

Q: Use the main theorem on primitive roots to show 12 must be a primitive root mod 25 (don't take…

A: We first state the theorem (Theorem 10.6 in Apostols Analytic Number Theory) and then use the…

Q: 1. To the right, you are given a contour plot for the function : = f(z.y). (a) Estimate the values…

A: We will use definition of partial derivative and contour diagram to  to find sign of fx and fy

Q: Consider the utility maximization problem of each young person: 1 0-1 1 0-10-1 max Cit, C2t.kt+1 a…

A: Solution : Let, function to be maximize U=maxc1t, c2t, kt+1a11θc1tθ-1θ+a21θc2tθ-1θθθ-1 putting all…

Q: 1. Determine the Laurent series expansions of f(2) = in the regions: z(1+2²)(4 – 2²) a) 0 2.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the plane determined by the intersecting lines. z=1- 3t z = 2-2s L1 x= - 1+2t y = 2+2t L2…

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Q: لتكالتحلم ملبهلعللمو) محلمولوفحلكرللت )هلهد x^ )5-x = )ه ,4 %3D

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Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

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Q: Q3: (A) Prove that 1. There is no simple group of ord er 200. 2. Every group of index 2 is normal.

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Q: Let Fib (n) be the nth term of the Fibonacci Sequence, with Fib (1) = 1, Fib (2) = 1 and Fib (3) =…

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Q: 2x + y- 2z= -7 + 5z = 10 X- 2y- z= - 11 (-5,5,6, - 3) (1,-5,-7,-2) (5 - 54 - 2)

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Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1<x< 1; function f(x) = 0, = 1, = 0, - 1<x<0…

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Q: (P → (Q → R)) ↔ ((P → Q) → R)

A: Given expression is (P → (Q → R)) ↔ ((P → Q) → R) We know that, a sentence is said to be a tautology…

Q: A12. Consider the equation cos"(z) – 1 = 0. (a) Show graphically that (1) has a unique solution z…

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Q: 2. Expand f(z) = in a Laurent series in the region 1< |z – i| < v5. 22 + 2z

A: We shall one questian only as per the company's guideline. Please post again in case you want any…

Q: (1) RELATED RATES. Provide all details as demonstrated in class. x= chronological order of the…

A: We will use derivative to find rate of change of one variable with respect to other

Q: Resolve the (a) a has a magnitude of 16 units and makes an angle of 48° to the positive (b) b has a…

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Q: 4- In any elements is the only nilpolent elements O ac-b)= C-ajb= - Cab) (i) O C-a) (-b) = ab

A: To prove:(a) a-b=-ab=-ab               (b) -a-b=ab

Q: dzdyde 74 灣彩

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Q: 1) Solve b Rinite diffrence methed 2 てメ+\ yotat25,Y4)=095 Itx2

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Q: Consider sets A and B with |A| = 14 and |B| = 19. a. How many functions f : A → B are there? b. How…

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Q: Use the tabular method to evaluate the integral - 2x – 1) cos(4x)dx

A: Introduction: Tabular integration is a technique for quickly integrating many parts in a row. One of…

Q: We would like to solve the general case. How many non-negative, integer solutions exist for the…

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Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A: To find the given questions :-

Q: 3csc 6x 07. lim, ,»/2 csc 2x

A: To Evaluate: limx→π/23csc6xcsc2x.

Q: Let n >1 and let D be an alternating (n- 1)-lincar functic matrices over K. For each j, 1 sisn, the…

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Q: Q4: (A) Prove or disprove each of the following 1. Every prime ideal is maximal. 3. The cancellation…

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Q: 27 Consider the vector a = -9ị- 3j. (a) Find â. (b) Find the vector b in the direction of a with a…

A: To find unit vector we find the magnitude of vector . To find vector b neglect the negative value of…

Q: Use the following methods to solve for the root of the equation f(x) = xe-* – sin?x Direct Search…

A: Note: As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Q7: Define the cancelation law. Is it satisfy in any ring?

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Q: For Problems 9 and 10, evaluate the given complex number and find the modulus, the argument, and the…

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Q: If event X cannot occur unless event Y occurs first then: a) Y is necessary for X b) X is necessary…

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Q: 15. (a) Find the quadratic approximation for the function f(x) = x3/2 centered at a = 4. (b) Use…

A: 15a Given function is fx=x32. We have to find the quadratic approximation for the given function…

Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: The formula for integration by parts is ∫udv=uv-∫vdu. The tabular method is a simplified form of the…

Q: -a (1) Let a, b, t E R, and a + b # 0. A = a b What is the expression of e4t? What are the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Detemine if the following integral converges or diverges. If the integral converges, find its value.…

A: Here we first use following formula to write integral in two parts  ∫abfxdx=∫acfxdx+∫cbfxdxwhere…

Q: 12: Define the concept of field. Is Z a field?

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Q: 200 Determine L-1 82+50s+10625 O 2e-25t cos(100t) 2e-25t sin(100t) O 2te-25t sin(100t) O 2e-26t…

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Q: Let X = {x € Z+ | 15 < 4.x < 22} and Y = Define a relation R from X to Y as follows. Given any (x,…

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