2) Solve the following first-order linear differential equations; if an initial condition is given, definitize the arbitrary constant: dy a) + 4y = 15 dt dy b) + 2ty = 0 dt

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Q: PzöFind the Values of x and that Satisfy the equat ion (3+21)(2-1) 3+1

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Q: Which value of x satisfies log;(5x +3) =5 A 36 В 32 (c 48 D 43

A: Given that  log3(5x+3) =5. We have to find the value of x which satisfy the above equation.

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Q: PART II. Answer any TWO of the following to get an EB Rating. 5. AABC ~ ADEF, AB = 8, BC = 13, AC =…

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A: Formula   From the graph f(5) = 7 f(4) = 3.5

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Q: Q31: Define ring. Is every subset of a ring R also a ring?

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

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Q: (B) What would be the estimated price per computer for a demand of 11,000 computers? For a demand of…

A: We have to find the price per computer at given demand.

Q: 4n2 + 2n + 6 6, 15, 24, ...,

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Q: Q28: Define the concept of field. Is (R-{0},+,.) field?

A: Given

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Q: C. Solve as indicated. 1. Find the first 11 terms of an arithmetic sequence in which the third term…

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A: Topic:- curve of function

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: Monday night you spent 25 minutes on homework;last night you worked for 40 minutes.what is the…

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Q: 3x2−21x+25 / 3x−3 Rewrite in the form q(x) + (r(x) / 3x−3) 3x2−21x+25 / 3x−3 = .......+(......./…

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Q: How many solutions does the following equation have? a b#c (x-b)(z-c) + 62 2-c)(x-a) (b-c)(b-a) +c²…

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Q: Calculate angle K in degrees. [16 ]

A: Please refer to the image below

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Q: -2 4 a) 0 Lo 4-10 0. 4 -21 4 c) 0 1 10 3. 3. O10 010 b)

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Q: At the end of April, Mandy toid Bill that she has read 16 books this year and reads 2 books each…

A: Here, from the given data Mandy increases her books by 2 per month, and Bill increases 4 per month.

Q: Operations on Sets Consider the following sets. A = (3, 6, 9, 12, 15, 18) B = (4, 8, 12, 16) C= (3,…

A: We will illustrate the given sets in Venn diagrams.

Q: Q8: What is the difference between homomorphism and isomorphism?

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Q: ong 2, number of marbles that the bag could contain?

A: Here is the solution

Q: (B) Define the integral domain ring. Is the product of integral domain rings also an integr domain?

A: We will define integral Domain ring.

Q: 8 A car that costs $ $14,700 with tax. tax percent?

A: Given query is to find sales tax percentage.

Q: by of R then I,U Iz is not ideal how example if I, and Iz are ideals an

A: To show: union of two ideals is not always an ideal.

Q: Q20: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a…

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Q: A. Write in Roster Form: 1. The set of whole numbers (W) from 25 to 25 2. The set of integers (1)…

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Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

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Q: Graph the system of linear equations. x + 3 y- 4 = 1 3 2 2x - y = 8 Eill No Solution O Help…

A: Given the system of linear equations is x+32+y-43=1  ..........(1) 2x-y=8…

Q: Solve as indicated. 2. Find the sum of the first 8 terms of the series 2, 5, 8, .. 3. Find the sum…

A: 2. The given terms 2,5,8... are having common difference = 5-2= 3 The given progression is…

Q: Explain the relationship between ideal and subring

A: A subring S of a ring R is a subset of R which is a ring under the same operations as R.   An ideal…

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Q: A merchant sells an item worth 64,999 php. If an initial payment of 20,000 php was paid to the…

A: Given