. Consider the function T: R2 R³ given by T(x, y) = (x + 3y, 2x - y, -y). Using the definition of linear transformations, show that T is a linea transformation.

Q: Evaluate the exponential expression. 2-4 -3 5-3 Apply the definition of negative exponents and write…

A: To evaluate the following exponential expression. 2-45-3

Q: A coffee shop owner bought a sack of coffee. He kept 1/6 of the coffee for his father and gave away…

A:

Q: The advertisement for the 3-D TV at the Electronic Boutique appeared in your local newspaper this…

A: “Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: Given the function f(x) = 4x-5, evaluate and simplify the expressions below. See special…

A: Given : f(x)=4x-5   To Find : f(a)   ,    f(a+h)   ,  f(a+h)-f(a)h

Q: The advertisement for the 3-D TV at the Electronic Boutique appeared in your local newspaper this…

A: “Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: Describe how to get the altitude of the line y=-2x+10 that goes through the point (1,3). or. Class…

A: Given: y=-2x+10 To find: The altitude of the line

Q: This is the wrong answer, please give me the correct one.

A: Given:  S=aywz  is a non-invertible matrix.λ1=5               One of the eigen…

Q: What are the solutions to the following equation 4+4=1

A:

Q: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle…

A: Given functionf( x,y ) = 3x4 + 3y4 - xy

Q: Maria is going to rent a truck for one day. There are two companies she can choose from, and they…

A: Given that , Company A charges $50 and additional $0.70  for each mile driven. Company B has no…

Q: Determine whether the given planes are perpendicular. x − 3y + 4z = 6, − 3x + 7y + 6z = −3 The given…

A: Here we have to check the given planes are perpendicular or not.

Q: A school gym teacher is trying to determine what sports students enjoy the most. She collected…

A: A school gym teacher is trying to determine what sports students enjoy the most. She collected…

Q: V For each of the following, determine whether the equation defines y as a function of x. y = √√x -1…

A: Please see the below picture for detailed solution.

Q: 4) 3y-5≥ 2x - 10

A: As per your request , (4) Graph the inequality  3y-5≥2x-10

Q: Lenore saves 10%10% of her monthly salary from her part time job for her university fund. Which of…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Sketch a graph of f(x) = 8 7 6 5- 4 3 21 2 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 744 45 -3 -4 -5 -6 -7 -8+…

A: Topic = Functions

Q: If B = 101 -2 -2 -2 122 then det (B5) = 0

A:

Q: ■Graph the following linear inequalities in two variables. 1) 3x + 5y ≥ 15 2) 2x - 2y < 6 3) y < x-4…

A: According to the company policy we can attempt only one question so please upload the next questions…

Q: For the function f(x) = −3x² - x + 2, evaluate and fully simplify each of the following. f(x + h) =…

A: Topic = Functions

Q: Let A be an 3 x 5 matrix so that rank(A) = 2. Using the rank-nullity theorem, what is the dimension…

A:

Q: 12. For all sets A, B, and C, (AUB) - CC (A-C) U (B-C).

A:

Q: Solve the following IVP by the Laplace transform. y(t) = = y" - 6y + 5y = 174 cos(2t), y(0) = 19.2,…

A: Given IVP y''-6y'+5y=174cos(2t), y(0)=19.2, y'(0)=37.2

Q: X, -2 0 2 У 3 3 3 (x,y) (-2,3) (0, 3) (2,3)

A: We are asked is this x=3 for the ordered pairs

Q: The work done by the vector field F(x, y) = (-y², ²) along the arc of the parabola y = 2x² - 4x + 2…

A: According to question,Given Vector field,Fx, = -y2,x2Equation of pparabola,y = 2x2-4x+2

Q: Given the first four terms in an arithmetic sequence, find the recursive formula. -26, 174, 374, 574

A:

Q: 9 4 4

A:

Q: Consider the planes x − 5y – 3z − 6 = 0 and 5x – 25y – 15z - 9 = 0. - Determine whether the…

A: Geometry

Q: A type of hot tub holds 400 gallons of water. One hose can fill the hot tub in 6 hours while another…

A: total capacity=400 gallons let A can fill in 6 hours let B can fill in 4 hours

Q: Physical Science: Height of a Thrown Object. A rock is thrown directly upward with an initial…

A: see below the answer and explanation

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A:

Q: V The entire graph of the function g is shown in the figure below. Write the domain and range of g…

A:

Q: A revenue function is given by R(x)=80x²+56000x. The maximum revenue is $

A:

Q: t^(2)-10t+11=31 ore taking the square root. Your answer should look

A:

Q: Consider the following differential equation. y" + 2y' 15y = x² Proceed as in this example to find a…

A:

Q: Graph the following linear equation  y= 3/2x-3

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Q: Solve the initial value problem 2yy' + 6 = y² + 6x with y(0) = 5. a. To solve this, we should use…

A:

Q: Find the average rate of change of the function f(x) -2x² - 4x 1, from x=-1 to x=4. Note, the…

A: Given function:- fx=-2x2-4x-1

Q: Write an equation of the line below. k -8 b -8 A Gl -2. -3 0 0=0 X 00 3

A:

Q: What is the solution to the following equation? 15 + A B с D 10 x = x = 15 x=30 x=5

A: A detailed solution is given below.

Q: graph the solution of the system of linear inequalities x=-8

A:

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: Please see the below answer.

Q: Find the compound amount and the amount of interest earned by the following deposit.

A:

Q: Find the product of matrices A and B. (Use the matrix in the Schoology feature to find the final…

A:

Q: 7. The function y = -0.03x² + .84x +.12 models the jump of a red kangaroo where x is the horizontal…

A:

Q: If f(x) = 3x +2 and g(x)= x², (-2)-(fog)(-1)-

A: f(x)=3x+2g(x)=-x2(f∘g)(x)=f(g(x))

Q: The function has a maximum of The function has a minimum of at x = at x = The function is increasing…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Statistics indicate that the world population since world war II has been growing exponentially. If…

A: The given exponential growth model is:P(t)=41.017t

Q: A tangent is drawn to each of the circles x2 + y2 = a2, x2 + y2 = b2. Show that if these two…

A:

Q: Find the distance between the point (-1,2, 1) and the plane -2x + 3y - 4z = 7. NOTE: Give your…

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Q: The function t(x) = 2x³ + 6x² 48x+8 has one local minimum and one local maximum. Use a graphing…

A: Here we have to use the concept of the derivatives