Let A be an m x n matrix. Is the set K defined below convex ? Why or why not ? K = {y € R" : 3r E R" such that ||| < 1 and y = Ar}

Q: For all real numbers x and y, [x]+ [y] = [x + y] – 1. For all real numbers x, [x –1] = [x] – 1. | -

A:

Q: show that vectors centsWhere en I'sthe sequence whose n th term is and all o ther terms are Zero Fro...

A:

Q: Annette is standing 50 m away from a Ferris wheel at a local fair. She always brings her clinometer ...

A:

Q: t2 +1 1 2t2 – t – 1 - (ш) f(t) = 1+ - 2t2 – t – 1'V t' x² + 1 - Væ + y +1 (IV) f (x, y) ,x In (y² – ...

A:

Q: E+ 4) for x e [O, of f(x)?

A:

Q: Q2. Find the Fourier series for the function f(x) = [x – x² for – n < x < a]

A:

Q: Show that if (x, y, z) is a Pythagorean triple then 60|xyz.

A:

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year. ...

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply ...

Q: What is the coefficient of (x – 1)5 in the Taylor series for x In x about x = 1? A. – 1/20 В. 1/5! С...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: AB 10 J.

A: K-map

Q: According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the differ...

A: according to newton's law dTdt=-kT-Tm           ...i here Tm is the room temperature as given Tm=30°...

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2ĵ...

A: Remark: We know that the directional derivative gives the rate of change of a function at a specific...

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit ...

Q: Exercise Set P.1 page(14-16) 4 In Exercises 67to 78, evaluate the variable expression for x-3, y-2, ...

A: To find- Evaluate the variable expression for x = 3, y = -2, and z = -1 2xy2z4y - z4

Q: Q3. Find the cosine series for f(x) = t – x in the interval 0 <x < T .

A:

Q: The autonomous DE: dy +5=y-4 dx has an unstable critical point at y =4. Select one: True O False

A:

Q: Consider the following block matrix: N a aT c where N is a m ×m real symmetric matrix, a is a m-di...

A: We will use the basic knowledge of matrices to answer this question.

Q: Seatwor K 7. The velocity N Cin mls) of ball thrown up ward t seconds - 20-9.8 t. the ball was throw...

A: Given function: Vt=20-9.8t

Q: One of the following statements is true: A) Q the set of rational numbers is field but not ordered s...

A:

Q: How to prove the Regular expression identities: (x + y)* = (x*y)*æ*

A:

Q: a) Explain why the multiplicativity of (n) follows from the formula p(n) = n* | (1 - 1/p) where the ...

A:

Q: The level curves of the function(*, y) = (**0, y # 0) are: a. concentric circles with the origin at ...

A:

Q: Question 55. Suppose y(x) is the solution to the given initial value problem dy (In x)s y(1) = 2 dx ...

A:

Q: Find the order of (Z12 × D4)/((3, p)).

A:

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) =- if there are any. x* +x-12 X=-5 X=-4 12 ...

A: The given function is f(x)=x3+9x2+20xx2+x-12 We have to determined all the vertical asymptote/s of t...

Q: The set S contains some real numbers, according to the following three rules. (i) 1 1 is in S. (...

A:

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the grid...

A: 4 Consider the given graph. We have to evaluate g∘f3. We know that g∘fx=gfx Hence, g∘f3=gf3 From the...

Q: Let (X,S, µ) be a measure space such that µ(X) < o. We define d(f, g) = S du. \f-g]| 1+\f-g| Prove t...

A: We will use the basic knowledge of metric spaces to answer this question. Also, some elementary know...

Q: (b) Defined f(x) = > an sin nx = a1 sin x + a2 sin 2x + .. .aN sin Nr, %3D n=1 where N is a positive...

A: Using the results of part (a)

Q: . It is given that f(1)=5 and f(2)=6. Find the value of f(a+b). bx²+2, if x 2 а. 10 O b. 11 О с. 8 O...

A:

Q: Describe the domain of the function f(x, y)= In(6+x-y). 4. {(x, y): y<x-6} {(x, y): y<x+6} {(x, y): ...

A:

Q: 2. A doctor's fee is based on the length of time. Up to 6 minutes costs Php 250, over 6 and up to 15...

A: Represent the doctor's fee with the expression Ct.  

Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

A:

Q: Find the derivative of the function f(x) = e(z²-3z).

A: We have to find the derivative of the function f(x)=e(x2-3x) .

Q: How many turns would be there in the polynomial function of degree 3?

A: Concept: Various graph of diffrent polynomials is explained below:

Q: Find the average rate of change of the function from t1 to t2.

A:

Q: of T2, T-:

A: Consider Tn={n, n2}, where n is an integer. The objective is to find the number of elements in each ...

Q: Explain the steps of the following CODE in MATLAB lambda = 1; co = 10; t = [0:0.1:1]; f = co*exp(-la...

A:

Q: Write the improper integral which is represented by the following limit. 2x dx lim C-2 Show that the...

A:

Q: *2. (a) If you have successfully solved examples (xix) and (xx) from Problem 1, it should be clear t...

A:

Q: prove that C+Ā +3 C+A +B ARC Using the truth table

A:

Q: Find the solution to the boundary value problem: d?y dy 9. + 18y = 0, y(0) = 5, y(1) = 3 dt dt2 The ...

A:

Q: Find a particular solution to the differential equation 2y" – ly – ly = -2r² + lt – 5e²". |

A:

Q: dY Given the initial value problem 2 whose matrix has a repeated dt eigenvalue X 4, find the general...

A:

Q: The angles of a triangle are in the ratio 2:3:4. Express the angles in circular measure as well as i...

A: Solution is given: Hope the answer is helpful.

Q: PMI CAri GNMENT) Given a sef x = 2011,2,3,- --- - 203. %3D 9. Delermine the Pachen set s of X such t...

A: (a) The set X is defined as a set of whole numbers less than 21. X=0,1,2,3,...,20

Q: Call a set A CR clopen if it is both open and closed. Prove that the only clopen sets are Ø and R.

A:

Q: 1. Are the following functions Riemann Integrable to their corresponding in- tervals? Explain your a...

A:

Q: Let y= E a, (x – 1)" be the power series solution to n=0 у - 7у +11x3%0, у(1)— 4. Find ag. 269 a3 3 ...

A: let y=∑n=0anx-1n be the power series solution to  y'-7y+11x3=0 with initial condition y1=4 find the ...

Q: Using chanpitz melhod solve the fellowing: 11 %3D

A: