Find the general solution of the differential equation: y'- 2y =e-³t Use lower case c for the constant in your answer.

Q: 1. Determine if the following functions are linear transformations. a) T: R³ → R³, defined by T(x,…

A: A linear transformation is a function T: RnRn that satisfies the following properties: T(x+y)=…

Q: Which of the following is an equivalent expression to 7

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Q: 4. Square Root Function thumbnail sketch y =√x + Domain: X20 y-intercept Range:

A: The square root function y = √x is defined for all values of x on interval [ 0, inf ) .Therefore,…

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A: xy-4-3-2-201204162

Q: Given the expression 12 · (1 + 0.10)2x, determine the percent rate of change.  12%  20%  21%…

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Q: Find all possible solutions. Give your answers in increasing order. Give your answers to the nearest…

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Q: 52. Given the following graph, @ Evaluate f(-1). Solve for f(x) = 3. y -5+ 4+ 3- NW ·2+ -3- -4 w 53.…

A: Given graphs to solve

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Q: Please do not give solution in image format thanku Jim lost 3lbs each week for 5 weeks. Express his…

A: Given: Jim lost weight 3lbs in each week.Find:how many weight loose in 5 week.

Q: Use the Venn diagram shown to list the set C' in roster form. 3 11 12 13 17 14 8 10 20 c'= (Use…

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Q: find critical points for f(x,y) = (y-x)(x-y^2+5y)

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Q: Which ones are echelon form, reduced echelon form or not echelon form?

A: To find which of the matrices are in echelon form, reduced echelon form or not in echelon form.

Q: A = To solve the system -4 -4 -1 -12 -15 8 14 2 using the LU factorization, you would first solve Ly…

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Q: Consider the following problem: Maximize: x1 + 3x2 ≤ 5 Subject to: x1 - 2x2 ≤ 0 -2x1 + x2 ≤ 4 5x1 +…

A: Graphical Solution:Start by graphing each constraint on a coordinate plane.Convert each constraint…

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: y x

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Q: Discuss how duality is applied in the study of linear spaces, especially with respect to linear…

A: Duality plays a fundamental role in the study of linear spaces and linear transformations, providing…

Q: The LU factorization of A = = A= 1 1 1 -1 To solve the system 2 -1 2 Ly = 0 01 1 0 0-2 -2 1 0 0 Ux:…

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Q: Marcus is training for a race. Each training session lasts 90 minutes and consists of both cycling…

A: Marcus is training for a race. Each training session lasts 90 minutes and consists of both cycling…

Q: 150 yards x 150 yards X 150 yards X 150 yards X 150 yards X 36 inches 1 yard 0.9144 meters 1 yard 3…

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Q: Eric plans to compete in a triathlon. He can average 2 miles per hour in the 1/4 mile swim and 6…

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Q: Mr. Jones has a total of 25 chickens and cows on his farm. How many of each does he have if all…

A: We have to use the concept of linear equations

Q: Suppose f(x)=(x−7)(x+5). (a) For which values of x is the function f(x) positive? (Hint: Set f(x) >…

A: The function is given byTo determine: The value of x  for which the function is positive.Let us…

Q: Determine whether the following relation represents y as a function of x. O function O not a…

A: A graph of the relation is given.The aim is to determine whether the relation is a function or not.

Q: Can you arrange the numbers 1 through 16 on a 4 by 4 grid so that all rows, columns, and major…

A: The given magic square:11471211813251031696154

Q: What are the domain and the range of the function pictured in the graph? Domain: [-3, ∞) Range: (-∞,…

A: The domain is the set of all x-values.As we can see from the graph, the domain is,

Q: Write the following numbers in scientific notation. (a) 3 452 900 (b) 0.000 068 156

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Q: Find the minimum and maximum values of f(x) on the given interval. 21.[-1, 3] -4 -2 6 2 O -24 y 2 X

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Q: Determine whether the following relation represents y as a function of x. function O not a function…

A: We have to determine given relation represents y as a function of x is function or not

Q: 88. The amount of garbage, G produced by a city with population p is given by G = f (p). G is…

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

Q: At a price of ​$2.22 per​ bushel, the supply of a certain grain is 7500 million bushels and the…

A: At a price of $2.22 per​ bushel, the supply of a certain grain is 7500 million bushels and the…

Q: The linear transformation F takes the following values: F (1,2,2)= (-12, 9, 9) F (0,1,1)= (-4, 3, 4)…

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Q: Ifx+y+z=14, find the value of (y-12)+(z+ 9) + (x - 5).

A: Given: x+y+z=14We want to find the value of (y−12)+(z+9)+(x−5).

Q: 2.3 58° K 38⁰ Law of sines: sin(A) = sin(B) = sin(C) a b Which measures are accurate regarding…

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Q: Find the final hourly wage if a $14.50 starting wage is increased by 5.5% each year for 8 years. The…

A: We find the final hourly wage if a $14.50 starting wage is increased by 5.5% each year for 8 years.

Q: discuss the beginning ideas of place value and base ten system, include a discussion of hurdles…

A: We have to discuss the beginning ideas of place value and base ten system and include a discussion…

Q: 20. Solve the equations. 3²x+11 = 27x-5 b) 163-x = (-) ***** c) 14(8³) = 7

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Q: Define the linear transformation T by T(x) = Ax. 1 A- [6 -13] = 0 (a) Find the kernel of T. (If…

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Q: average rate of change fo [0,10]

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. Report…

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Q: plar Coordinates Consider the following infinite series. Complete parts (a) through (c) below. 4 Σ…

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Q: Consider the given initial value problem. y' = 5y² + xy², y(0) = 1 (a) Solve the given initial value…

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Q: (5) 4. Chose parameters h and k such that the system has a) a unique solution, b) many solutions,…

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Q: 19. Graph the following functions. a) y = 2 (3-1)-1 HA: b) y = - + 4 HA:

A: Compare this equation with the standard form of the exponential function So here we have Therefore…

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Q: The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is…

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Q: Here is a Venn diagram showing the sets B and C, as well as the universal set U. U- g,h,p 9,r,x B…

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Q: Graph the inverse of the function f (x) = −2x + 4.

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Q: Find the x and y intercept

A: To find the x-intercept we simply put y=0 and to find y-intercept we put x=0.Given line