Relations Let A = {1, 2, 3, 4} Let R be defined on A x A where x Ry if x > y. Find all (x, y) € Rand list R as a set.

Q: Find the remainder when 15 + 25 + 35 + ... + 985 + 995 + 1005 is divided by 4.

A: Note- Since you have asked multiple questions, we will solve the first question for you which is que...

Q: (a) Suppose f: A → B and g: B → C. Show that if f and g are one-to-one, then gof is one-to-one. (b) ...

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Q: Answer the given problem. 1. Annie bought one dozen smartphones for P200,000.00 with a discount of 5...

A: Given Total cost =  P200,000 Discount = 5% Sold half dozen smartphones at a price = P18,000.00 per u...

Q: roduction function for a firm is p(x, y) = 96xy", where x and y are the number of units of labor and...

A: According  to guidelines  we solve one question. Thanku

Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons. U...

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Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x? Wha...

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Q: Use the two properties L1 and L2 to show that the following are linear transformations. (b) T:R² →R'...

A: To show that the given transformation is linear: T:R2→R3 defined asT(x,y)=(−y,x+y,3x−4y)

Q: use Gauss Fordanmetrecd to Solbe the fellowsing setafeg Qe linear 2X+ -4x2 +6X3=5 A +3X2-783=; + 5 X...

A: Introduction: A system of linear equations can be solved using Gauss-Jordan elimination method. This...

Q: five candidates: claire, jimmy, jessie, kent and gina are running for president of the student gover...

A: a. 318+402+760+1035+485=3000 b. Kent won as she got highest number of votes. c. Yes, she won by majo...

Q: The percentage of adults in the labor force ages 65 and older who are still working has risen since ...

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Q: 2. In the figure shown, which two line segments appear to be parallel? D. A. CD and DF B. HG and CD ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 1 f (x) : c = 2 (Зх - 1)2 1 f(1): c = 0 (1 – 2r)2 ' C = f (x) = sin r, c==

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Q: The solution of e² = –has the form x + i (y + 2nm)here n is an integer. What is the value of æ? What...

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Q: Testing for Linear Independence In Exercises 27-40, determine whether the set S is linearly independ...

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Q: There are 22 people who want to sign up for surfing or stand up paddle boarding There are 10 surf bo...

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Q: 2. f(t) = t3

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Q: Determine the global extreme values of the f(x, y) = 7x – 3y if y > x – 6, y > -x – 6, y < 9. (Use s...

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Q: I. Prove or disprove the following statement using the truth table. (p → ¬q) ^ (p →¬r) = ¬[p ^ (q V ...

A: The truth table of the ¬p, p∧q, p∨q,p→q p q ¬p p∧q p∨q p→q T T F T T T T F F F T F F T T F ...

Q: 1. Two triangles are shown as marked. Which statement must be true about them? A. ΔΑBC ΔDEF by SAS B...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: 4+ 6 +12

A: Given as, 4+62 ÷12

Q: f(t) = e-2t-e-3t %3D t

A: The given function is                                           f(t)=e-2t-e-3tt To find the Laplace ...

Q: Show that the following functions are harmonic and determine the conjugate functions. 1. x= -3y +3x-...

A: Given: Let us consider the given function  1.u=x3-3xy2+3x2-3y2 2.u=3x2y-y3 Determine the functions t...

Q: SaX-とて use Gamma zax-X az -a How did he get the hypothesis?

A: To prove: 2ax-x2=a2-x-a2  

Q: nx) in the E 2n is

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Q: plane with the equation + + = 1 (a, b, c > 0) together with the positive coordinate planes forms a t...

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Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible i...

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Q: In the figure below, Y W and XZ are diameters of circle A. What is the arc measure of major arc Y W ...

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Q: Spanning Sets In Exercises 9-18, determine whether the set S spans R. If the set does not span R, th...

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Q: Using the definition of the derivative 1. find S'(2) if f(x)=x 2. find f" if 2x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Given the argument: All dogs are animals. Some dogs are hairy. Therefore, all animals are hairy. Wri...

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Q: Solve y"+10y'+25y=D0, y(0)=2, y'(0)=-14 y(t)=? SHOW ALL WORK

A: Given y''+10y'+25y = 0withy(0) = 2, y'(0) = -14

Q: Determining Whether a Set Is a Basis In Exercises 51 and 52, determine whether S is a basis for M22....

A: Remark: Let V be a vector space of dimension n. A set of vectors S that containing n vectors is call...

Q: 4. Simplify the following: Note: m=2 n=7 (x³ y* z=7)(m+4) x" Vy4 z² (x³ y6)0 х3 у -2 z7 х уZ

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Q: Consider the vectors (2, 1,0, 0), [3, 1,0, 0], [0,0, 0, 1] in R". Find a vector v so that v, linearl...

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Q: 2. Find the mean of the probability distribution of the random variable X which can take only the va...

A: 2. We have to find mean of given probability distribution.

Q: Use the double integral to find the volume of the tetrahedron bounded by the planes r + y + z = 5, x...

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Q: 1 converge ne series n3-7

A: In the given question, the concept of convergence is applied. Convergence The feature of approaching...

Q: Question 1. Solve the following system of linear equations using gaussian elimination. 2x + 4y + 2z ...

A: Since you have posted a multiple question according to guildlines I will solve first question (Q1)fo...

Q: The solution of e^z=−3 has the form x+i(y+2nπ) where n is an integer. a)What is the value of x? b)W...

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Q: The electric current i (in mA) in the circuit i = 2.2(1- e0.4) where t is the time (in s). Evaluate ...

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Q: zax -x? 一 a? Cx-a ge 2.

A: Consider 2ax-x2. Completing the square that means adding and subtracting the square of coefficient o...

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(...

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

Q: substitution. Sketch and label the associated dr 1. Í -2 sine

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Q: encryted using a shift cipher with C(x) = (P(x) – 12)( mod 26). Decrypt the The Ciphertext below was...

A: The given encrypt function is Cx=Px-12 mod 26. Decrypt the chiphertext  XIZWIGQOSGOF. From the encry...

Q: 43 17 - 2 and s = 4 4 3 1 8 Let u = 7 3 21 62 s can be written as a linear combination of u,v and w ...

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Q: Determine whether the polygons to the right are similar. If so, write a similarity statement and giv...

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Q: Find and Dw fok the following functions e 2-

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Q: QUESTION 15 Consider the original sentence, "If Sam bought it at Crown Books, then Sam didn't pay fu...

A: Let us assume that statements as p=Sam bough it at crown booksq=Sam did pay full price~q=Sam didn't ...

Q: Linear Combinations In Exercises 1-4, write each vector as a linear combination of the vectors in S ...

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Q: Which of the following matrices are in RREF? Select all possible answers. (6 ?) 1 0 1 1 11 9 0 1 0 0...

A: We have to find which of the given matrices are in RREF.