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Q: Prove that n!+1 and (n+1)!+1 integer n. relatively prime for every positive

A: Given, n!+1 and n+1!+1are two numbers and to prove that they are relatively prime.

Q: find the sum of squares of all roots of the equation 248 17+4²²_2²+x²4-n²+x²-x+1 - H

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Q: Por ve exfloo) =1 if: er f= 3 =²² st Set

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Q: If w and af are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2w²…

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Compute the partial fraction expansion of the function Y(s) that is, calculate the constants A and B…

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Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Given:Xz=zz+4we can write this as :Xz=zz+4=11--4z-1

Q: 1. (2xy + x²) dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *AA 3. (3x²y³ + 3 sin x + 4y)…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: 5. Prove that (n, n + 2) = 1 is n is odd and (n, n + 2) = 2 is n is even.

A: Suppose (n, n+2) = d => d | n and d | n+2 => d | (n+2) - n => d | 2 => d = 1 or 2.

Q: p rate per room is found by taking $2 off the base of $75 for each extra room rented. (a) How much…

A: I have showed every part in detail please follow next step to have an clear answer.

Q: come up with two illustrations of objects that exhibit patterns in nature and write a brief…

A: There are two examples of exhibit patterns in nature  1) Wave 2) Fractals

Q: Express each of the following numbers in polar form (reje, with in radians) without using a…

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Q: Let n be a positive odd integer number (i.e., n = 2k + 1, for some integer k). Find a unit fraction…

A: To find: Unit fraction representation of 3n, for any positive odd integer n.

Q: Solve each linear system below by finding the corresponding augmented matrix and performing Gauss…

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Q: In the Argand's plane what is the locus of [3(22²-5z + 3) 11_2π ong

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Q: 21. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A

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Q: A cylindrical container has a volume of 150 cubic inches. The radius r of the container can be found…

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Q: In a survey of employees at a fast food restaurant, it was determined that 10 cooked food, 11 washed…

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Q: 4. Identify whether y' - 3y = 6 is a linear differential equation or a Bernoulli equation, and solve…

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Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: 4) To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: The given problem is to find the iteration formula for finding the root of the given equation x2-3=0…

Q: At Gillway Community College, 43 out of 381 students earned honors. At Montessa Valley Community…

A: Given that School Total number of students Honors Percentage Gillway Community College 381 43…

Q: Exercise 2. 1) If (X, d) is a metric space show that B(x,r) is always an open set for x = X and r≥…

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

Q: Consider the function & : [0, π] → [−1, 1] given by o(t) = cos t. Let w be a one-form on R. TRUE or…

A: Given: The given function is ϕ : [0,π]→[-1,1] given by ϕ(t)=cost. Let ω is a one-form on ℝ.…

Q: Let P2(R) have the inner product, (p, q) = f* p(x) q(x) dx, Vp, q € P₂ (R). Find the best…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the…

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Q: 17. You want to make a recipe that calls for of a cup of flour, but you only have of a cup of flour…

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Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: Find the value of 'a' for which the tangent to th ƒ(x) = (a + 2) x³ − 3ax² + 9ax - 1 never makes an…

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Q: F1-11. Determine the average normal stress developed at points A, B, and C. The diameter of each…

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Q: | Let w=z² Find the image of the first quadrant in Z-Plane 2

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Q: Consider the vectors H [0] H . If I is the line defined by the vector w₁, fi W1 = [o] W2

A: Here, in the question three vectors are given:  w1, w2, b  L is the line defined by the vector w1 We…

Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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Q: Use the tables to find the z transforms of the following g. e-2n cos3n h. e4n sin2n i. 4n

A: Using the table of z-transform, the sequence and its corresponding z-transform can be tabulated as…

Q: If the roots of the quadratic equation x² + px + q = 0 are tan 23° and tan 22°, then find the value…

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Q: In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and…

A: We have to use the eigenvalue method to find the general solution of the given system. We have to…

Q: Compute the gradient of the defined by f: R_R function f(x)= where A is an nxn given matrix

A: Introduction: Take the function's derivative with respect to x to get the gradient, and then replace…

Q: 1. Use the tables to find the z transforms of the following d. e³n e. cos 3h www f. sin4n

A: Solution:     1. d) we know (from the table)                     z_transform [anu(n)] = 1/(1 - az-1)…

Q: Exercise 1. Let X be a metric space. The subsets of X which are arbitrary (finite or infinite)…

A: What is Open Set: Open sets in a metric space are those that, for every point P, include all other…

Q: Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the…

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Q: 100 200 ↑ fa↑ 200 100 A D f₁ f₁ 150 f₁ fa↓ 100 B E 200 100 ↑ C F 100 150

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Q: YOUR PROBLEM B: The surge function model has the formula below (7 is the elapsed time, A, n, B, C…

A: a) there are four parameter which shifted the graph position so the created familiy of curve if all…

Q: B) Using two iterations of the Bisection Method, find the real root of the equation x²-x=6x with…

A: Given : fx=x2-7x                  ,    1 ,-4 To find: Root by Bisection Method with initial…

Q: Evaluate by Beat function: and 1 = S dx 1+X9 Hint : Bix,y) =]. ans: 4 X-1 (1+tjx+y Sin Ta dt

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: ASSIMILATION To ensure that Senior High School students can avail of quality education, Colegio de…

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Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 1000 A2 (3x² + 2xy) dx + (x²) dy = 0 2. *ALA 3. (3x²y³ +3 sin x…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: E Valuate by Beat function: 1 = 5 +²²1 dx 1+x4

A: Given : I=∫0∞xa-11+x4dx Evaluate the given integral by beta function .

Q: Q3/ Basket consists of 9 Orange Balls, 6 Green Balls and 5 White Balls, it was withdrawn three balls…

A: The given basket contains 9 orange, 6 greens and 5 white balls. Three balls are withdraw randomly…