(Computer method, all steps must be same for ev- eryone.) Performing type-3 and type-1 elementary row operations to get an upper triangular matrix and find the determinant. 0 1 3 A = | 2 0 3 0 4 4

Q: 16. (x,y)ER? :x2-x=아드{(x,y)€R? :x-1=아

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Q: (b) Use the comparison test to determine whether or not the integral +00 dx x4 + ex u* converges.

A: Given integral is ∫1+∞1x4+exdx Take  ∫1+∞1x4+exdx=∫1+∞fx dxHere,fx=1x4+ex

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Q: roblem 3 Consider R[X]deg 0}.

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A: The Answer for the above problem is given below

Q: Are the rational numbers closed under division? Choose the correct answer below. No O Yes

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Q: Problem 1. Let || - || be a norm in R". Prove that the function f(x) = ||x|| is convex.

A: Convex function: f:ℝn→ℝ is convex if domain of f is a convex set and f(θx+(1−θ)y)≤θf(x)+(1−θ)f(y)for...

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Q: Fill in the blank. The equation (3 •6) • 4 = 3• (6• 4) demonstrates the property of multiplication. ...

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Q: A fish farm stocks its lake with 350 fish prior to commencing operations. The farm management compan...

A: The given differential equation is dpdt=p600-p-50000 for p≥0.ft,p=p600-p-50000 Initially at t=0, num...

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Q: 1. Prove that lim (10r – 7) = 3 using epsilon-delta definition of a limit.

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Q: what is mathematics?

A: Mathematics is a branch of science that deals with the numbers, shapes, quantities, logic etc.

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A: given  amount =$7000 we have  from any saving<48×187.91 now, 7000+700048-k100<48×187.91

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Q: Imagine a regression model on a single feature, defined by the function f (x) = wx + b where X, W, a...

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Q: 1. If a, b e R and b # 0, show that: (b) la/b| = |a|/\b|.

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Q: а. less than or equal to b. greater than C. less than d. not equal to е. greater than or equal to VI...

A: The inequalities are represented using the inequality symbols such as <, >, ≤, ≥.

Q: In stadia leveling, the difference in elevation V is computed from the stadia intercept and vertical...

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Q: 1. Let f be defined as f(x) = x sin(x) + 10 a. Ai. i=1 Where ai is the ith digit of your student num...

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Q: Length of a Curve Find the length, L, of the curve given below. /8 sec*(t) – 1 dt , sys L=O

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Q: f (t) = e2t V1 + cos 4x %3D

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Q: Construct the multiplication table for Zs. Using this table, or otherwise, determine the following x...

A: Solution

Q: Obtain the Maclaurin series expansion (up to 6 terms) and compact form of the function: f(x) = 2sinh...

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Q: Recall the following groups: Z = {0, 1, 2, 3} (operation: addition mod 4) Z = {1,5, 7, 11} (operatio...

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Q: 1. Find the length of arc of the curve y = from the point where x = 0 to the point where x = 2.

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Q: Fill in the blank. The union of the rational numbers and the irrational numbers is the set of number...

A: Given that  The Union of the rational numbers and the irrational numbers is the set of _____numbers.

Q: 2. y" +y' - 2y = 0, y(0) = -4, y'(0) = -5

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Q: ITA = ( ) B = (, 7) mnd C = (-2 ) ind 2A - ЗВ + 4С

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Q: No. 1 Find the value of x in the following equation: 2(4x + 1) = 1 No. 2   (a). What do you understa...

A: We are entitled to solve only one question at a time. Please submit other questions separately.  In ...

Q: 611 + 366

A: Given expression is    611+366¯. We have to add the given expression.    611+366¯   977

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Q: ch Soria of JRP Mutual Fund Inc, receives a commission of 1 % on the first 10,000 he sale, 2% on the...

A: This is a problem of Financial Mathematics.

Q: Find all x e R that satisfy the equation |x + 1| + |x – 2| = 7.

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Q: 6. [Numerical Integration, The following data is known to lie on a cubic curve. Evaluate f(z)dr exac...

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Q: Problem #2: Suppose that you were to try to find a function of the form y = ax + bx + cx that passes...

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Q: V8 (V512 - 8) = |(Simplify your answer.) %3D

A: Please find attachment for the details solution

Q: -3 4 -3 1 Let A = and B= 1 3 3 8 a. Find AB, if possible. b. Find BA, if possible. c. Are the answer...

A: Given matrix is A=−3413 and B=−3138. a We have to find the AB. AB=−3413−3138=2129625 Hence, AB=21296...

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Q: dz (D² + 16)³(D² + 4D – 5)²(D² + 2D – 3)*z = 0, Dz - dx

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Q: You roll a fair die three times. What is the probability that you a. Roll all 3's? b. You roll all o...

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Q: faced with the following coefficient matrix of a system of equations to be solved by iterative metho...

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Q: 1. How many ways can we choose 20 doughnuts from 5 different flavors if we can choose at most 5 of e...

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Q: (4) The general solution to 7xy" – y + 10y = 0 is y = A x + x+ x²+ x3 + ... -) +В х x²+ x³ + + x+ an...

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Q: Apply Euler's method twice to approximate the solution to the initial value problem on the interval ...

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Q: (b) Sketch the graph of the cardioids r = 2(1 + sin 0) and r = 1 – sin 0. Find the area of the regio...

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