1. Find the sum of the positive integer divisors of a) 35 e) 2-3-5-7-11 b) 196 f) 25345³7²11 c) 1000 d) 2100 g) 10! h) 20!.

Q: Wrtie the following as a sum and difference of logarithms; there should be no exponents in the…

A: Given, log3xz+2y3 This expression is to be represented as the sum and difference of logarithms.

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Q: 4 36 27 18 Given: s It 26 = 24 Prove: r It

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Q: 3. Use the shell method to set up. and evaluate the volume the intergal that gives of solid…

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Q: Objective Function: C=0.5x+1.5y 69. Find the minimum value. 70. Find the maximum value. Choices for…

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Q: Amazon is having a sale where items are sold for 10% less than the original price. If Vanessa…

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Q: Consider the solid Q shown in the figure: x² + 2z = 4/ A) I = 5.8211 B) I = 3.0575 C) I=4.7124 D) I=…

A: Given that and Fx,y,z=-2x,3ycos2x,3zsin2x

Q: Determine whether the series Σ n=0 3 23 converges or diverges. If it converges, find its sum.

A: Convergence of the series

Q: For each real limit, explain whether it is convergent, divergent to to, or otherwise divergent (not…

A: Part a Consider: limx→3x2-2x-3x+2=32-26-33+2=9-12-35=-65 So, limx→3x2-2x-3x+2=-65 Since the limit…

Q: Find an explicit solution of the given initial-value problem. 1 y(6) = 6 y = dy dx = y² x² - 1 -

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Q: 2. Find the general equation of the circle passing through (1,1), (−2,3) and (3,4).

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Q: 4) If the walls in a room are 955 square feet in area, and a gallon of paint covers 15 square yards,…

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Q: Exercise 13.c on page 220. Give an element-wise proof for the following: Solution: If A ≤ B, then Au…

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Q: Let A be an n×n matrix and let λ be an eigenvalue of A. If A−λI has rank k, what is the dimension of…

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Q: Find if the vector w = (-3,2,-6) can be expressed as a linear combination of the vectors v₁ =…

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Q: (a) The set of rational numbers Q can be embedded in every ordered integral domain. (b) A finite…

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Q: -6. Reduce the following Boolean expression to the required number of literals. (a) ABC + A'B'C +…

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Q: 5.3.7. If Y is b(100, 1), approximate the value of P(Y = 50).

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

Q: 10) Show that [x] = −[−x] A 11) suppose that g: A → B and f: BC, where A = B = C = {1,2,3,4}, g =…

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Q: 5. The function G is defined by G(x, y) = x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G…

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Q: Find the circulation and flux of the field F = -x²i-y²j around and across the closed semicircular…

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Q: Exercise 2.35. Suppose X is a topological space, and for every pe X there exists a continuous…

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Q: 4. Given the rational function f(x)= Hence, determine ff(x)dx. use long division and partial…

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Q: Suppose b and c are real numbers such that b-c> 1/2. Let {b}and {c}converge to b and N, both b c…

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Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

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Q: Solve the following differential equations. y' = dy dx ㅠ cos(x)y' + sin(x)y = 2cos³(x) sin(x) — 1,…

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Q: 6-66 Let x and y be independent random variables with variances of and o2, respectively. Consider…

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Q: The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0;…

A: Please find attachment. In this problem P(x) is coefficient of x if coefficient of x2 is 1.

Q: Show that the equation cos .r+(1+22)-1=0 has a root in the interval [-2, 2] and find its approximate…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: Find indicated. are length interval of the graph of the function over y = In (9 cos(x)), 0≤ x ≤ 11.…

A: The arc lengthL of the curve: y=f(x) in the domain: a≤x≤b is calculated using the formula:…

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Q: Calculate the following limit:

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Q: Determine the root of the function ?(x)=3x5 +2x2−10 using Regula-Falsi, Secant, and NewtonRaphson…

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Q: .Solve the differential equation out radiation, subject to the following conditions: du (i) u is not…

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Q: Let D be a principal ideal domain and let p ∈ D. Prove that <p> is amaximalideal in D if and…

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Q: Given the ring of integers . Justify your answer. (b) Determine the multiplicative inverse of [k, 1]…

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Q: Given the following system: i. ii. iii. 2x + y Z 2y + 4z = AN X 3x + 4y Is the augmented matrix for…

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Q: A city has a population of 260,000 people. Suppose that each year the population grows by 5.75%.…

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Q: ? ? ? ? ? everywhere. ? 6. Suppose fx(a, b) and fy(a, b) both exist. Then there is always a…

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Q: 5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be…

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Q: Which of the following functions satisfies the partial differential equation  Wxx + Wyy = 0 a.…

A: We have to find the function that satisfies the partial differential equation wxx+wyy=0 a) y1+x b)…

Q: Give a row-echelon form of the matrix A and give its rank: A = 24-2 -1 0 7 2 7 10 37 3

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Q: The following problem refers to a closed Leontief model, Suppose the technology matrix for a closed…

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Q: Use Chio's pivotal condensation method (twice) to solve the determinant of the following matrix:…

A: Solution :  Use Chio's pivotal condensation method (twice) to solve the determinant of the following…