Solve the following differential equation with initial condition by using the Laplace transform method d²y dt2 - 6 dy dt y (0) = 3 +10y=3e¹ dy dt (0) = 1

Q: Let S be a linear transformation from R³ to R² with associated matri 3 -13³3 i] -3 1 3 . Let T be a…

A: Given that let S be the linear transformation  with associated matrix Let T be the linear…

Q: Two people are placing a principal amount of $3,425 in a savings account with 4.71% annual interest…

A: Two people are placing a principal amount of $3,425 in a savings account with 4.71% annual interest…

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Q: Let ƒ : R → R³ be defined by ƒ(x) = (4x, 5x, 2x). Is ƒ a linear transformation? a. f(x + y) = ƒ(x) +…

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Q: Ay a) x-intercepts: c) Domain: e) Where is the function increasing? b) y-intercept: d) Range: f)…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A: To solve the following system by the method of elimination andto check any solutions by using a…

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Q: Determine which of the following transformations are linear transformations. A. T(x, y, z) = (2x,…

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Q: A tent is shaped like a hexagonal pyramid. The area of the hexagonal base is equal to 64.95 ft2, and…

A: The objective of this question is to find the height of a hexagonal pyramid (the tent) given the…

Q: 7) Maximize Use the graphical subject to: method to solve the linear programming problem. z = 6x +…

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Q: Let A, B, C, D be sets. = (a) Suppose that A, B, C, D are all non-empty. Is it true that A x B= C x…

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Q: then If T : R³ → R³ is a linear transformation such that -2 (3) = -3 0-0000-0 = 3 4 = 1 3

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Q: Using matrix method solve the following simultaneous equations                           3x + 2y =…

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Q: Use FOIL to find the product. (2x-8)(x-7) O 2x² - 22x+56 O x² +56x-22 O 2x² - 23x + 56 Ox² - 22x -…

A: The objective of this question is to find the product of the two binomials (2x-8) and (x-7) using…

Q: Use the given inverse to solve the system of equations. x-y+z = 3 X = - 3y +z = 3 x + 3y لنا = لنا 1…

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Q: Use the correct compound interest formula: A = P(1 + r)nt or A = Pert Find the accumulated value of…

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Q: A man gets a job with a salary of $34,100 a year. He is promised a $2,440 raise each subsequent…

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Q: 5 » M2 REMEMBER Lesson 13 Write an expression that represents the word problem. Draw a tape diagram…

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Q: 2. 3x²-2x-8 Factor by grouping

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Q: (a) Construct a table of values for the function g (x) = = 26(1.1)* for x = 0, 1, 2, 3, 4. Round…

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Q: Current Attempt in Progress Write an expression representing the quantity described: The investment…

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Q: At noon, to begin a study, a petri dish had 3000 bacteria cells. The number of cells in the petri…

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Q: A parabola can be drawn given a focus of (-5,0) and a directrix of y =8. Write the equation of the…

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A: Given that the arithmetic sequence 9th terms is -38 and 17th terms is -62 we have to find first…

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A: To solve the following the quadratic equation.

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Q: Write an expression representing the given quantity. A population at time t years if it is initially…

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Q: find the standard deviation for the group of data items   stem 1 = 6,7,7,6,5,6

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: A) Domain: Domain is the value of x for which the function is defined. Range: Range is the value of…

Q: Solve and check the equation. 1.4x + 4.3 = 0.6x - 1.94 O {-7.79} O {0.128} O {-7.8} O {-7.722}

A: The objective of this question is to solve the given algebraic equation for the variable x and then…

Q: Morgan found US$80 in his attic and sold it to a bank that charged him a commission of 0.55%. How…

A: Morgan found US$80 in his attic and sold it to a bank that charged him a commission of 0.55%.

Q: 2. Write each of the system of equations below as a matrix equation of the form AX-B. Then solve…

A: Here we will find first inverse of A after that we will solve it

Q: 1. 6р - 6 р 2 2p 9p - 9

A: To simplify the following expression.

Q: Suppose that $2000 is invested at a rate of 3.3%, compounded semiannually. Assuming that no…

A: Given that $2000 is invested at a rate of 3.3%, compounded semiannually.The given time is 9 years.

Q: 4. 1 -₁ 3 Let B= a. 2 -1 Find B¹ using the formula for the inverse of a 2x2 matrix. b. Find the…

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Q: Condense the log expression fully. Write the logarithmic expression as a single logarithm with…

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Q: 32 Ө 12

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Q: Let A = x x² 1 I 2 I T² T³ 1 1 8 1 x x² Find a such that det (A) = 0.

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Q: -4 344 - 272 142 ܢ

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Q: 4 Find the root of function f(x)=√x+1² = x² +1 by applying Regula Falsi Method 3 times. Start with a…

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. 4 g(x) = 4x h(x) =…

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Q: A student bought some maths books and some computing books at store for K230. Maths cost K15 and…

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Q: Find the domain of each a. f(x) = √2x + 4 b. f(x) = 2x-8

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Q: Q2. Solve the system equations using Cramer's Rule. 3x-2y+z=9 x+2y-2z = -5 x+y=4z =-2

A: The equations can be expressed as3x−2y+z−9=0x+2y−2z+5=0x+y−4z+2=0Use Cramer's Rule to find the…