What is the minimum number of students, each of whom comes from one of 10 provinces who must be enrolled in a university to guarantee that there are at least 100 who come from the same province?

Q: RSA algorithm encryption let n= 391 =23x17 like the public key of a RSA and c= 5 like encryption…

A: As per the question we are given a RSA Encryption system as : Public key : n = 391 = 23 × 17…

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

A: Please see the attachment

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A: Introduction: Every square matrix has a determinant. A determinant of a matrix is a scalar number.…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

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Q: ative cases 70,000 -5 60,000 50,000 40,000 30,000 20,000 10,000 Chart 23: Model of Cumulative Cases…

A: Given all these three graphs,  Social distancing one day later(red color) graph becomes constant…

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Q: Rational function which is the inverse of the function given -3x+12 Coordinates at the origin of…

A: Please see the attachment

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

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A: To evaluate measure of angle of an arc

Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

A: It is given that,  f = u+iv  is analytic. We have to show that,  U(x, y) = eu cos v  and  V(x, y) =…

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Q: Question 10 described by the vector function r(t) = (4t² ln t, ¹-4, -2e-3t). Find the integral ſ…

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Q: 12. Evaluate the inverse Laplace transform of a. 10e-5t b. 10e-t C. 10e-50t d. 10te-50t 10 S+50

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Q: Check if the following statement is TRUE or FALSE. Let f be the relation from N to N5 defined byf =…

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Q: 3/ Given a vector x, show that the infinity norm defined by || X 1100 = max | X₁ Do Ksign

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Q: (D² +6D² + 12D+8)) = 0 3

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Q: Set up an iterated double integral equal to the volume of the solid in the first octant bounded only…

A: The given problem is to set up an double integral that gives the volume of solid bounded by given…

Q: Question 1 by the vector equation Let C be a curve defined ·7· r(t)= <4t³ – 8t, 4t³ + 5t, e4t³-8t.…

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Q: ) Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours…

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Q: 3 ²) (k²y³ +ny) = dr - lod

A: The solution is given as

Q: Simplex Method - Minimization problem   A company wishes to minimize cost of production…

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Q: ik 4. Express b¹¹y¡y¡ in the terms of x variables where y¡ = C¡¡x; and bªc¡k = 8½k.

A: Introduction: A mathematical entity with n indices, mn components, that adheres to specific…

Q: Theorem Proof Let f: G→→ H be a group homomorphism. Then, Im fs H. The kernel of f, we write Ker f,…

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A: Assumption: Let the points P and R lies on the line and Q outside.

Q: What is the location of the image of P(−8, 1)P(-8, 1) after a counterclockwise rotation of 90°90°…

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Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = n²x^ 3 6 9 (3n) Find the…

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Q: +∞ Στο [cos-1 (3) - cos-1 ( 4 ) (71)] COS COS τη=1

A: Given series is ∑n=1+∞cos-11n - cos-11n+1

Q: 15. Matrix_2₁ a. Matrix b. Matrix c. Matrix d. Matrix 1 31 -2 41 2 2 12 -1 1 + 2 Matrix 1355 12 L 19…

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Q: se the method for solving equations of the form Z dy dx x = sin (3x - 3y) erive and simplify the…

A: In this question, the concept of Differential Equation is applied. Differential Equation A…

Q: Let D = 4xyäx + 4yzäy + 2(x² + y²)āz C/m². Find the total charge enclosed in the rectangular…

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Q: Draw the Taxi-metric hyperboloid |x| + |y| + |z| = 1

A: As per the question we are given the equation of Taxi-metric hyperboloid as : |x| + |y| + |z| = 1…

Q: The determinant of a 2 by 2 matrix A is equal to the area of the parallelogram with two adjacent…

A: Given the 2 by 2 matrix A. We have to find the determinant of a  matrix A is equal to the area of…

Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: It is provided that f(x)=x3+4x2-10 and the initial approximation of the root: p0=0. The number of…

Q: fermat's theorm states, if p is prime & a is a positive integer not divisible by p then-------- and…

A: Fermat's Theorem: If p is a prime and a is a positive integer and not divisible by the prime p, then…

Q: If a projectile is fired straight upward from the ground with an initial speed of 32 feet per…

A: Here h(t)=-16t2+32t ......(1)

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A: We need to formulate a system of inequalities for the given scenario and then solve the system by…

Q: 3) Mrs. Congello wishes she can turn her classroom into a pool for just one day. The first day of…

A: INTRODUCTION: A cuboid's surface area is the sum of all of its surfaces. A cuboid's surface area is…

Q: Enter the multiplicative inverse of the element [10] x + [13] in the ring z-[x]

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Q: 13. x = 1 + (y - 2)², x = 2

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Q: ks) During a game of hacky sack during lunch, Bryce attempts to pass the hacky sack to Paige who is…

A: Consider the diagram as per the given information, Here we need to find the measure of ∠BAD.