Let A and k be positive constants. Which of the given functions is a solution to = -k(y+ A)? OA. y = -A+ Ce-kt OB. y = A+ Ce-kt Oc.y = A-1 + CeAkt OD. y = -A + Cekt OE. y = A + Cekt OF. y = A-1+ Ce-Akt

Q: Determine whether the following is an equation or an expression.   2/x=4/3x+1/3

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Q: 1 + 1 V v -40 -5

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Q: 2. y = 4-5x 4+5x

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Q: 3 Which of the following is a possible solution for x in the equation A. 2 В. З C. 4 D. 5

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Q: Solve (2y +5)dx = 6dy O a. y = 3In(2x+5)+ c O b. x = 3In(2y +5)+c x =- In(2y+5) +c O d. x =…

A: Given that          (2y + 5)dx = 6dy Now we solve this differential equation.

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Q: which value of x satisfies the equation 5x 10 – Vx - 4 = 0 O A. 2 7 о в. 3 2 о с. 7 OD. 3

A: Topic:- algebra

Q: Which point is a solution tatys4x+ 5? OA. (010) (OL/0) V OB. (0,-2) K C. (-4,0) D. (-6, 4) Mach

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Q: Identify the constant of variation and equation for the inverse variation. {(1,9), (-1,-9),…

A: According to the problem

Q: Write the non-arbitrary parameters in terms of the arbitrary ones. x+1y+1z=-8 −3x-2y+1z=15…

A: Solution:

Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

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Q: Solve for x: 2x? + 26x + 80 = 0 O x= -8, -5 O x = - 5, 5 O x = - 16, -25 Ох326, 80

A: option first is correct  see below the answer and calculation

Q: If a # B and of = 5α-3 and 3² = 5ß-3, find the equation whose roots are alß and Bla.

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Q: Solve for y.   5/2y - 7/3y = 1

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Q: Determine which of the following equations is correct. = xp Sx O +C ㅇ중 Inl +C 2in lal +C O 4x In Ixl…

A: The given integral is  x∫ 14x dx

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Q: Solve (2y + 5)dx = 6dy O a. x = 12In(2y+ 5)+ c O b. y = 3In(2x+5) + c C.x =-In(2y +5) + c O d. x =…

A: Given (2y+5)dx = 6dydx6 = dy2y+5

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Firstly we find first order linear differential equation from given data then solve for y(t). Then…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.