1. The following subsets A, B, and C of R XR are relations on R. Sketch the set. (i) B = {(x, y): [x] + [y] ≤ 2}

Q: Is f(x) continuous at x=1?, explain thoroughly. x-1 f(x) = { 1 2x - 2 for 0 1

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Q: Please

A: Here we find values of scalar to check whether given matrix is in span of A1, A2, A3.

Q: Ο Σ n=1 (-5) " 32n

A: I have used simple trick of geometric sum.

Q: How to solve the following problem with the branch-and-bound method: min 3x1+4x2 s.t. 3x1+x2>=4…

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Q: Find the radius of gyration with respect to its axis of the volume generated by revolving the region…

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Q: The Wronskian of the function y₁ = 1, y2 = x and Y₂ = x is

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Q: Evaluate the integral of ds, where f(x, y) = y cos(2x) and C is the triangle with vertices at the…

A: The given problem is to evaluate the given path integral of the given scalar function over the given…

Q: Let f(x) = 5x³ (f¹) (2)= 2x LORE 1. Find (ƒ¯¹) '(2).

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Q: Let x₁, x2 be the unknown coordinates of an object. We use four noisy sensors that give us the…

A: To find the best possible estimate of x1 and x2, we can set up a system of linear equations using…

Q: A berry box, sold to contain a quart of berries is in the form of a frustum of a right pyramid 15…

A: Area of the top of the frustum is 15 in2 Area of the bottom of the frustum is 12.5 in2 The height of…

Q: Question 2 ( a) Evaluate L{eot} b) Evaluate C{(t−2)² + sin 6t + cos 7t} c) Use the Laplace transform…

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Q: 4√2 x = (-1+√√s)², y = (-1+√√s) 3/2, z = -1 + 2√s, s> 1. Show that this curve is arc-length…

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Q: Find the domain and range of the function graphed below. -4 -3 -2 -7 13 2 -1 42 -3 5 1 Calculator -4…

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Q: A fluid has density 900 kg/m³ and flows with velocity = xi+yj + zk, where x, y, and z are measured…

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Q: You open a brokerage account and purchases 100 shares of a stock at a price of $20 per share. You…

A: Given that, You open a brokerage account and purchase 100 shares of a stock at a price of $20 per…

Q: 2 1 3x dV = z+2 Evaluate the triple integral v = 4y, and w = z. Set up the integral in the…

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Q: Given the two vectors -9 -5, and = V2 -3 -20 -5 -11 Choose a vector v so that the set {V₁, V2²…

A: The given vectors in ℝ3 are  v1=-9-5-3, and v2=-25-5. We have to find the vector v in ℝ3 such that…

Q: QUESTION 3 Solve (by hand) the following IVP of order one on x = 0, 0.2, 1 using Euler method. If…

A: Since there are many questions, so find the solution of first question.

Q: If a₁, a2, a3, ... are in A.P., then find the value of the following determinant: ap+ap+m+ap+2m…

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Q: A bond has a 14% coupon rate with semiannual coupons and matures in 13 years. The bond has a $1,000…

A: Answer given below.

Q: Given the boundary of the surface of a cylinder 0 ≤ p ≤ 3, 73 ≤ ≤7, 1≤z≤ 2, determine the volume…

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y +…

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Q: -0.5 3 3 D y = x(x − 3)(x − 1)² 0.5 1.5 2 2.5 3.4

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: The integral test is applicable to the series: Select one: O True O False Give your reasons 8 Σ n=5…

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Q: (3x² - 2y²)x= 2xy dy dx

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Q: Suppose that sin(a) = 4/6 and cos(b) =1/6 define in the first quadrant, determine sin(a-b). (round…

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Q: Q2. Obtain the Fourier series for the function given in the diagram below f(x) 2 20 0 2T 3T X -2

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Q: on of W

A: Given: S=t3+t2-2t+1,  2t2+2,  t3-2t,  2t3+3t2-4t+3 L

Q: Use the simplex method to solve. Minimize subject to: The minimum is w = when y₁ = y (Simplify your…

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Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

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Q: T A right triangle contains an angle of radian. 10 (a) If one leg has length 9 meters, what is the…

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Q: Let f: R → R be the function f(x) = x². Fill in the blanks in the following proof. Claim: f is…

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Q: Which of the following are linear combinations of 0 1 -1 02 [ -42 -2] [23¹] [8²] 14 94 ° [224] -6-8…

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Q: Let R be the region bounded by the graphs of 2 G₁ ² ( x − 3 ) ² + x ² = ²/1² 4¹ (0, 0) and C₂: y=…

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Q: Use the given zero to find the remaining zeros of the function. h(x) = 7x5 + 7x4 +217x³ +217x² -…

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Q: Let a, b, c, d and e be the observations with mean m and standard deviation s. The standard…

A: Stranded deviation of the ungrogrouped data

Q: Subject: Math  Topic: Combination A major Lottery game called 6/45  is very famous in the…

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Q: Find d (3x + 5y)dA where R is the parallelogram with vertices (0,0), (5,3), (4,-2), and (9,1). R Use…

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Q: A A You are given a box of matches. The matches are all the same length and you are not allowed to…

A: Step 1 We need to find the minimum number of matchsticks required to form, six possible pairs of…

Q: Minimization of false trends in measurement caused by extraneous variables can be minimized by: A.…

A: Given: Statement: "Minimization of false trends in measurement caused by extraneous variables can be…

Q: Match the formula of the logarithmic function to its graph. Graphs of Logarithmic Functions 4 v Q…

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Q: Write a definition for the nth term of Sequence B

A: A sequence is a function from set of natural number including zero to real numbers.  Example: let…

Q: = + 1³ 2³ +²²³ +22+ Calculate the flux of the given vector field F where S is the sphere centered at…

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Q: 4 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence…

A: A sequence is said to be decreasing and bounded if an>an+1.

Q: Show sequence (-1)^n has uncountably many subsequences

A: The given sequence -1n. We have to prove that the sequence has uncountably many subsequences.

Q: 29) Two forces of magnitude 25 pounds and 40 S F pounds act on an object. The force of 40 lb acts…

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Q: dx dt || with x (0) X2 -3 1 -10 3 -3 [:] 3 Т Give your solution in real form. x1

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Q: Find and classify all critical points for the function g(x, y) = x² - xy² - yx² + y².

A: The given problem is to find the critical points of the given function and classify the following…

Q: Express the generating function of the sequence (cr) in closed form, where co = 2 and C, 2+12" for…

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Q: B. For each of the following series, determine whether the series converges or diverges. (Sum from 1…

A: Given:  i. ∑n=1∞ 4n+2n3nii. ∑n=1∞sinn3iii. ∑n=1∞ 1n2+2niv. ∑n=1∞ 1n+2-n To determine whether a…