Solve the system by Gauss (Unique solution) y + 2z 4 4x + y + 7 3x + 2y + 7 X Z N =

Q: 2. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of…

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Q: 2. n=2 nlogn does not converge but En-2 nlog²n converges. Show that Z2 [Hint: you might find it…

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Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

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Q: Q1\ x= f(u/v), y = g(u, v) and V=0(X+S) u= $(x/5) are differentiable function. then prove that J…

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Q: Compute Legendre Symbol ( 357 ) 151

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Q: Evaluate the line integral of f(x,y) along the curve C. f(x,y) = 5y2, C: y = e-X, 0≤x≤ 5

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Q: In the figure shown, a 0.5-m by 0.5-m square plate had a semicircular hole of radius 0.25-m punched…

A: Given that Here we need to find the moment of the area of the plate. For that, we need to find the…

Q: Write the negation, converse and Contrapositive of the statement

A: The contrapositive of the statement: "If p, then q" can be written as: "If not q, then not p".

Q: 2. Given: f(x) = I - 1)² - - x, with f'(x) -x(x²-3x+4) (x - 1)³ and f"(x)= - 2x + 4 (x − 1)¹* (a)…

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Q: 1. We have shown that if a sequence is unbounded and increasing, then it diverges to infinity. The…

A: Definition of divergent sequence : A real sequence (xn) is said to be diverge to ∞ if the…

Q: An alternative to the body mass index (BMI) for estimating the health risks of obesity is A Body…

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Q: Consider the following recurrence relation: Q(n) = { 42 = if n = 2∙Q(n-1)-3 ifn>

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Q: The credit card with the transactions described in the popup below uses the average daily balance…

A: Transaction description Transaction amount Balance Number of days Balance * No. of days Previous…

Q: Show that the group of integers has no composition series

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Q: Find the volume of the parallep lo piped adjacento edges PQ, QPR, PS With where PCO, -9,-9), Q…

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Q: 2. Solve the initial value problem. Leave the function in implicit form: - y² yx + 3x² ›Y(1) = −2 dy…

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Q: (6) Sketch a slope field corresponding to the equation du = 3t - y. Then sketch the solution that…

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Q: For the data points below find the linear spline function, the quadratic spline function and the…

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

Q: Show that a group G of order par for district primes p and q is solvable

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Q: Given the periodic function over the period [-π/2, π/2] f(x) = x|x|

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Q: Conjecture a general formula for the cofactor expansion along the 3rd row of a 3 x 3 matrix. Test…

A: First I have written the general formula for cofactor of 3×3 matrix along 3rd row, then used that to…

Q: Show that the center of a group of order 60 cannot have order 4.

A: We have to show that the center of a group of order 60 cannot have order 4.

Q: 2. Given: f(x) - I (x - 1)² - - x, with f'(x)= 1 -x(x²-3x+4) (x - 1)³ and f"(x) = - 2x: +4 (x - 1)¹*…

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Q: A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate…

A: We have given that, Qt=amount of candy present at time t. A candymaker makes 500 pounds of candy per…

Q: Evaluate the line integral along the curve C. 1) [(y + z) ds, C is the path from (0, 0, 0) to (4,…

A: Part1 Now, ∫Cfx,y,zds=∫abfxt,yt,ztx't2+y't2+z't2dt, where, rt=xti+ytj+ztk. Given fx,y,z=y+z. And…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: The open interval is represented using: (   ) and the closed interval is represented using:     . A…

Q: Given the periodic function over the period [-π/2, π/2] f(x) = x|x| a. Plot f(x) on the interval…

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Q: Given a real a > 0, compute the integral x² - a² sin(x) X 5.0⁰0 x² + a² -dx.

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Q: Exercise III.2. Graph the following sets S in R² and determine which are conver: (i) B (ii) B:= • {…

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Q: 3. Prove that if fog is injective, then g is injective.

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Q: find a way to calculate accurate values of f(x) when x is near - f(x) = (radical(1+x^2) - 1)/ (x^2)

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Q: Who were the Nobel Prize Recipients for Economics in 1990 and 1991? Coase and Markowitz Sharpe,…

A: The answer for this question is

Q: Determine if the following statements are true or false. If true, prove them. If false, find a…

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Q: 4. Let f(x)=tan(r). In the following we would like to calculate the erors. First write down the…

A: a. Consider the given function, fx=tanx A Taylor series is given by: fx=∑k=0∞fkak!xk Now, in this…

Q: Use possible symmetry to determine whether the graph is the graph of an even function, an odd…

A: Symmetric about the y-axis:          A graph is said to be symmetric about the y-axis if wheneverx,…

Q: Theorem 2. If G has a composition series, and if H is a proper normal subgroup of G then there…

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Q: Show all necessary solutions and box all final answers. 1. Apply the Mean Value Theorem to the…

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Q: 3. Prove that if fog is injective, then g is injective.

A: Injective Function:          A function f : X →Y is said to be injective ( or one-to-one) if, for…

Q: Q.3 Explain operations on classical / crisp sets

A: There are various operations on Classical sets.   The first kind of operation is Union. The union of…

Q: - 2. Find the general solution of the ODE: y(4) — 8y' = 0.

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Q: How many Sylow 5-subgroups of S5 are there? Exhibit two.

A: We have to find Sylow 5-subgroups of S_5

Q: 1. Consider the surface x² + y² - 2xy = x+3y-z = 0 at the point Po(2, -3, 14). Determine the…

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Q: 4.2 Find the solution subject to the following boundary and initial conditions of the heat equation,…

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Q: Let X be a set, and ✅ C P(X) a family with the properties: (1). Ø, X belong to A. (2). The…

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Q: 1. Give an example of a function f N N which is injective but not surjective.

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Q: Is A = 3 an eigenvalue of 3 2 -2 1? If so, find one. corresponding eigenvector.

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Q: A. Using the definition of limit, show that limn→∞ 1 / n5 = 0 and that limn→∞ 1 / n1/5 = 0.

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Q: Any composition of quotient maps is a quotient map. An injective quotient map is a homeomorphism.…

A: Quotient topology: Let X is a topological space, Y is a set, and π : X→Y is any surjective map, the…

Q: For Exercises 3 and 4, solve the recurrence relation subject to the initial conditions. 3. A(1) = 7,…

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Q: a) (This is the first part of Question 3.1.5 from the textbook.) Consider the following data: ti Yi…

A: As per Bartleby rules  . When there are 2 different questions. We have to answer only first…