Let ƒ : R → R³ be defined by ƒ(x) = (4x, 5x, 2x). Is ƒ a linear transformation? a. f(x + y) = ƒ(x) + f(y) + Does f (x + y) = f(x) + f(y) for all x, y ER? choose b. f(cx) = = c(f(x)) = Does f(cx) = c(ƒ(x)) for all c, x – R? choose c. Is f a linear transformation? choose

Q: Let 1: (x, y, z)=(-1, 1, 5) + t (3, 4, -3) where t = R. Find the distance between the line and the…

A: The figure

Q: Find the first term and the common difference of the arithmetic sequence whose 4th term is 12 and…

A: Given that the 4th term of the arithmetic series is 12 and 13th term is 30 we have to find the first…

Q: Add 6x4 - 2x³ + 8x to the difference between 8x3 +8x²-1 and 2x4-9x² +6x-6. The resulting polynomial…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. 3-64…

A:

Q: Given the equation y = mx + c, for each increase in x of 5 units, how much will y increase by? a. m…

A: The objective of the question is to understand the relationship between the variables in the linear…

Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: Account A; the balance after 11 years is $17,779.17 Account A; the balance after 11 years is…

A: Principal investment, P= $9250Rate of interest, r = 6.12%Time, t = 11 years

Q: Suppose a random sample of n = 22 measurements is selected from a population with mean μ = 53 and…

A: A random sample of n = 22 measurements is selected from a population with mean μ = 53 and standard…

Q: 3.2.4 Explain the geometric meaning of ICD x CB|. 3.2.5 Calculate the volume of the parallelepiped…

A:

Q: I don't see any answers?

A: The derivative of the given function F(x) can be found using chain rule. The question is solved…

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

A:

Q: The regression equation y = 3.648 1.182 approximates the cost to go on a safari, y, given the number…

A: Given that,Where  is the number of years from 2005.And  represents the cost to go on a safari

Q: A "normal" temperature for a certain animal is 93.5°F. If a temperature x that differs from the…

A: Let x be the unhealthy temperature The normal temperature for a certain animal is

Q: Use the graph to find the range of the function. 2 0 2 (4,0) 9

A:

Q: Solve the logarithmic equation. log (x+4)= log x + log 4

A: log⁡(x+4)=log⁡x+log⁡4Using the logarithm propertieslog⁡a+log⁡b=log⁡(ab)

Q: A principal amount of $14,390 is placed in a savings account with an annual interest rate of 3.13%…

A: The compound interest formula is:Where,  is the principal, is the annual rate of interest,  is the…

Q: What are the integer solutions of the equation ax +by+cz = d for a, b, c, d = Z? What is the…

A: I have appended the concept used in the solution procedure

Q: CATEGORY Identify the domain and range of the function given in the information below. X -5 -4 - 3…

A:

Q: Graph the following equation in a rectangular coordinate system. y=-6 Use the graphing tool to graph…

A: The given equation of the line is

Q: 5. Calculate the following when: A = 4+j3, B=92-20°, C = -7+j2. The purpose of this problem is for…

A: Given the information as follows:…

Q: State the domain and range for the following relation. Then determine whether the relation…

A: We have given a relation. We have to determine domain and range for the relation and state if this…

Q: Solve and reduce the result to lowest fractional terms. Input answer as a fraction, not a decimal.…

A: given

Q: The scatter plot shows the number of hats and scarves each knitter sold at a knitting show. How many…

A: Given graph has the number of hats sold along the X-axis and the                           number of…

Q: Consider the following model of a monopolistic form, where P is the sale price of the good, MC is…

A: The objective of the question is to find out the total revenue the firm will receive if it produces…

Q: Complete the following statements. In general, % of the values in a data set lie at or below the…

A: Complete the following statements.In general, % of the values in a data set lie at or below the…

Q: = Sketch the region D = {(x, y) | 0 < x < 1, 0 < y < a2} and then evaluate the integral SSD y√x² -…

A:

Q: Use the coordinate plane to answer problems 1-2. 61Y Q A B₁ -6 -4 -2 D C 4 2 2+ 4 E 6 H 2 4 F X 6 G

A:

Q: ...

A:

Q: Question 4 Maggie works at a very popular freshly squeezed lemonade stand on a beach that sells…

A: We have to maximize the profit.

Q: We say a matrix A is symmetric if A = AT and we say that A is skew-symmetric if A = −AT . Suppose A…

A: This is question of algebra Here matrix is given We have to check it for property of matrix.We prove…

Q: 3. f(x) = (x - 2)² - 5 Vertex: Domain: Range Describe each transformation. 4. Ve Da Ra D

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

Q: Suppose that Al is a 3 x 7 matrix that has an echelon form with 2 zero rows. Find the dimension of…

A: The given matrix  that has an echelon form with  zero rows.The aim is to find the dimension of the…

Q: Let f(x)=17x and g(x)=-3x-4. Find (f+g)(x), (f-g)(x), (fg)(x), and (1) (f+g)(x) = (Simplify your…

A:

Q: factored completely, the expression x²-48x+80 is equivalent to ¹-16)(3x-5) ²+16)(3x - 5)(3x+5)…

A:

Q: square units. Which of the choices below could be the dimensions o

A:

Q: Solve the following inequality. Graph the solution set. 1-6x|-7<-4 Select the correct choice below…

A:

Q: If the 100th term of an arithmetic sequence is 308, and its common difference is 3, then its first…

A:

Q: Are the vectors u = -3 1-3]. = [-2 3 4] and @= [0 -2 1] linearly independent? Choose If they are…

A: we have given three vectors

Q: The function 2x^3 + kx^2 + px -13  has a remainder of 21 when it is divided by  x-3 . The function…

A:

Q: 21)- r-4 A) 2 r the polynomial completely. 22) 125x3+3 B) 2r-4 2r4

A:

Q: K- Suppose you have $14,000 to invest. Which of the two rates would yield the larger amount in 5…

A: we are given the principal amount of $14,000 and a time of 5 years, we need to check that which…

Q: K Let f(x)=x² + 5x and g(x) = 9-x. (9) (1) (8). Find (x) and (x) = (Simplify your answer.)

A:

Q: Solve the inequality f(x) ≤0, where 1 f(x) = function. -6 (x+4)(x - 1)³, by using the graph of the…

A: we need to find out the intervals where the function given in the graph is below the x-axis or equal…

Q: A landlord is using a personal loan to borrow $2,500 to replace the carpet ina rental property. The…

A: Given that principal amount of loan= $2500annual rate= 4.23%=0.0423 (in decimal form)interest rate…

Q: An author recieves a $7,600 advance payment for a book publishing dealand wants to place the money…

A: The Formula for semi annually compounded The Formula for compounded continuosly Where A is the…

Q: The function A-Age-0.00770x models the amount in pounds of a particular radioactive material stored…

A:

Q: Q31 a) Prove that Re(iz) = -Im(Z)

A:

Q: Kyle buys $20,000 of company XYZ's shares, at a share price of $200. A year later, XYZ's share price…

A:

Q: When graphing ​x^2+y^2>25 to determine whether to shade the region inside the circle or the region…

A:

Q: 6. Compute the product of the following matrices 6 5 - 4 -3 7 6 2 -3)

A: