1. Let A = Z+x Z. Let R be a relation defined on A as follows: For all (a, b), (c, d) € A, (a, b) R (c,d) iff ad = bc. Prove that R is an equivalence relation.

Q: Prove that if p and q are distinct odd primes, then we have (P-1)(T-1) 4 [H = (-1) TD quadratic…

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Q: Distance (m) 18 ONA®¤ÔÑIJā 16 E12 10 Distance Vs. Time c.) Approximately a.) What is the label of…

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Q: State the equation of the rational function that meets these conditions: 1. Vertical asymptote at x…

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Q: Suppose the vector field v(x, y, z) = (3y + 2) i + (x − 2) j+ (2z+1) k represents the velocity field…

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A: To Find: (a) Matrix representation of counterclockwise rotation around x and z-axis by 90° and…

Q: Q3/1 find the Patriar Beries of f(x) Xx [ov -1 < X <0 اكلك

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Q: a) show that the given function is 1-1 or give a counterexample. b) show that the given function is…

A: (a) Let, f(X) = f(Y) for X, Y ∈ P(N)            =&gt; N - X = N - Y           =&gt; N - (N - X) = N…

Q: > Use Stokes' theorem to calculate the line integral f (v² − z²)dx + (z² − x²)dy + (x² − y²)dz C…

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Q: 2. (Counting Elements of Finite Sets). Let A, B, C be finite sets. Show that |AU BUC| = |A|+B+C|-|An…

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A: We are given the following phase portrait of the system of the differential equations dxdt=f(x,…

Q: Solve X x (t) = y(t) = - 17 ²7] [7] (0) - x (0) = 4, y(0) = 19

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Q: 1/² F. ds for the given vector field and the oriented surface S. In other words, find the flux of F…

A: The given problem is to find the flux of the given vector field over the given Surface S where S is…

Q: The payoff matrix and strategies P and Q (for the row and column players, respectively) are given.…

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

Q: = Consider the differential equation given by: t dt -3y + 18- (A) What is the equilibrium solution?…

A: We will draw slope field for given differential equation  with its equilibrium solution and some of…

Q: Determine a, h, b so that the paraboloid 2z = ax² + 2hxy + by² have the closest contact at the…

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Q: Prove that if p and q are distinct odd primes

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Q: Table for 77 and 78 mph 4.5 5.7 7.8 9.6 13.4 rpm 1,500 2,000 2,500 3,000 3,500 mpg 8.2 6.9 4.8 4.1…

A: The given problem is to find the quadratic regression for the model from the given data of fuel…

Q: 4. Let R be a relation defined on Z as follows: For all m, n € Z, m R n iff 4 | (m² — n²). a) Prove…

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Q: Q1- Evaluate the integral J₁ (x) dx

A: The recurrence formula for bessel function

Q: Find a polynomial of least possible degree having the graph shown. 86 -50 (0,36) 3 Q f(x)= (Type…

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Q: 16. Given A = 0 0 0 0.7 0.2 0 0.3 0.8 3 (a) Is the matrix A regular? (b) Does the limit limk→ Ak…

A: The given matrix is A=10000.70.200.30.8 (a) To check if the matrix is regular. (b) to find the limit…

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: The athletics club is ordering tee shirts so it has them ready when new members join. The shirts…

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Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: Use the series solution method to solve the Volterra integral equations: 8. u(x) = 1 + 2 sin r So…

A: Solution of volterra integral equation by using Laplace transformation

Q: Show that the length of the curve [sin¨' t +1 √(1 − 1² )],, y = 2at², z = 4at is 4 √/2 a (1₂ −1₁)…

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Q: An inheritance of $250,000 is invested at 9% compounded monthly. If $2500 is withdrawn at the end of…

A: We know the formula for annuity, PV=PMT1-1+rn-ntrn We have given that PV=$250000, PMT=2500, n=12,…

Q: Find the equation of osculating plane at any point 't' on the hell- : Y = @ sin t x.= @ Cost,

A: We will find binomial vector from given parametric equation as binomial vector is perpendicular to…

Q: sin' (t) -√√² x→0 xm t integer m. With such m, find the limit. Round your answer to 2 decimal…

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Q: Show that the function 200 loins of a continuou) is closed.

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Q: 4.[4Y²-Y) (Y-2) 5.CxX+1)(x-2)

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Q: F(s) F(s) = = s²-1 1-2s s²+4s+5

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Q: Show that Ris not standard tupology but s Cufnite to pulogy, compact for the Compact for the

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Q: Step 2 is cropped out, I can only read the first line. Could you repost the solution?

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Q: Suppose the vector field v(x, y, z) = (x − 2) i + (−y − 2) j+ (3x − 3) k represents the velocity…

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Q: 1/² F. ds for the given vector field and the oriented surface S. In other words, find the flux of F…

A: The given problem is to flux of the given vector field over the given surface S where S is…

Q: (p-1)(q-1) 4 = (−1)|

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Q: Find the approximate integral of the following function using Trapezoidal Rule. Use the indicated…

A: If we find the value of the integral by trapizoidal rule then we devide the interval [a,b] by n…

Q: Hockey enrollment in 2020 is 500 players. In 2021 enrolment increased by 12% over that of 2020.  In…

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Q: 2. Let D be a relation defined on Z as follows: For all x, y € Z, x D y iffx|y. Determine if D is…

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Q: Consider the power series Find the radius of convergence R. If it is infinite, type "infinity" or…

A: The power series is ∑n=1∞5x-2nn2 we can also write the series as, ∑n=1∞5nn2x-25n We have to find the…

Q: please answer letter D and the What conclusion can be drawn?

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Q: Find the area of the surface given by z=f(x, y) over the region R. (Hint: Some of the Integrals are…

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Q: State the equation of the rational function that this graph represents. a) y = 10 O c) y= d) y= 8 6…

A: Answer      Given that: from the graph we can say that, it reaches ∞ when x value is 3. So, x=3…

Q: 1. V1 V4 Represent the given graph with an [V2 V5 V3 adjacency matrix.

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Q: We have the set of all functions from R to R (f(R,R)). How do I prove that this function's…

A: Kindly refer to Step 2 for the solution.

Q: Given the graph of the rational function, y = f (x), select the most suitable equation for the…

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Q: -10 O -5 smaller x-value larger x-value y (x, y) 10 Solution, Set 5 -([ 10 X -10 DO XX 5 10 -10 -5…

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