a U (x) = sinx - x + x+5 xtutidt.

Q: Let ax + by + cz + d = 0 be the plane. Then the points (x₁, ₁ (x₂, 2, 2₂) lic on the same side or…

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Q: Exercise 7.13. Show that the map $,(r. y) = r²r x² + y²¹ 2) y² is inversion in the circle with…

A: We need to show that the map Φrx,y=r2xx2+y2,r2yx2+y2 is inversion in the circle with radius r and…

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

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Q: The following bivariate data set contains an outlier. X 72.5 68.7 70.8 83.7 59.4 61.5 63.5 75.1 60.7…

A: The dataset given is: x y 72.5  -1488.9 68.7  -292.8 70.8  875.4 83.7 668.6 59.4…

Q: Let X have a Weibull distribution with the pdf below. α f(x; a, B) = Ba Verify that μ = Br 1+…

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Q: 6. DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: x1 = -x2, x2 = 6x₁5x2 with x₁ (0) = 2 and x₂ (0) = 5. (O) Dand (0)

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: The set of vectors that form a basis are Linearly Dependent Linearly Independent Inconsistent…

A: DEFINATION OF A BASIS-: A SET OF VECTORS v1,v2,v3,..........vn IN A VECTOR SPACE V IS SAID TO BE…

Q: Multiple Force Completion This test can be saved and resumed later. Your answers are saved…

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Q: 8. Give a counterexample to the claim of problem 7 when unique factorisation fails in Z[a].

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Q: (5) Test the following differential equation to determine if it is exact. e2x dy + 2ye2x dx - dy = 0

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Q: 8. A company wants to assign 8 salespeople to 4 regions of a state (see table below). Region…

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Q: Use the direct computation method to solve the following Fredholm integral equations

A: Given: Fredholm integral equation: u(x)=-11+9x+x3+x4-∫0120x-30t ut dtTo find: The solution of the…

Q: Let D = {x + ya | x, y ∈ N}. Prove that D is denumerable.

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Q: Define a function G: RR by the rule G(x) = 2 - 3x for all real numbers x. Is the following a proof…

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Q: let mzl be any integer any integer and 1 (on) Mangolt fonction non- + we have ^(d) = beg(0) dlm

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

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Q: Consider two real systems, say Ax = b and Cy = d. If the two systems have the same nonempty solution…

A: To Determine: If the two systems Ax = b and Cy = d have the same nonempty solution set, then, is it…

Q: Suppose f: A → B is an injection g= B → C is a surjection. Must and gof: A ⇒ C your answer. be an…

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Q: Athletics   Of the 4,700 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60…

A: We will draw venn diagram and find values of each portion after making equation from given data .

Q: We shall show that I is generated by a singleton set

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Q: 36. Use the portion of the stock table shown below to answer the questions that follow. Round dollar…

A: Close column represents closing price of the stock.

Q: Use Green's Theorem to find the outward flux for the field F and curve C. counterclockwise…

A: We will use green's  theorem to find flux  For a vector field  F= Pi +Qj  ∮CF . dr=∫∫R∂Q∂x-∂P∂ydA…

Q: Let f be a function from A to B, and X, Y C B. Show that ƒ¯¹(XnY) = ƒ¯¹(X) Ñ ƒ−¹(Y).

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Q: Find how many solutions there are to the given equation that satisfy the given condition.

A: Recall the known theorem, The number of r-combinations with repetition allowed can be selected from…

Q: Let I = 10x x+1 dx, then find the value of 91.

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Q: For each positive integer n > 0, find the greatest positive number integer mn such that 1 tan ¹(n+1)…

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Q: ogs Projwots b Donto the 1 mafoix P that columm space of A, that is, pb-C col (A) and b-ph is…

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Q: 3. Minimize the costs for a firm faced with the cost function C=3x² + 2xy +5y² +500 subject to the…

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Q: PEAK TRAM The Peak Tram in Hong Kong connects two terminals, one at the base of a mountain, and the…

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Q: On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove…

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Q: Write the given system of equations as a matrix equation and solve by using inverses. = k₁ 9x₁ - x2…

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Q: 7. Find the total differential of z = f(x, y) = x²/3y-1/2, use it to approximate f(7.99, -9.03).

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Q: What is the projection of v = ₁ + 2e2 - 3e3 on H: ₁ + 2x₂ + 4x4 = 0? Let V be a subspace of Rn. Then…

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Q: Poor Dolly's T.V. has only 4 channels, all of them quite boring. Hence it is not surprising that she…

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Q: F(x)=9+0.4x e0.4x

A: Given: Fx=9+0.4x-e0.4x To find the root using newton-raphson method.

Q: If k and n are positive integers and s= 1k+2k + 3k + ... + nk, m then prove that Σm+¹C,s,= (n +…

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Q: a) Which of the following systems of ODES is autonomous and dynamical? where ty₁ = e-sin(₂), y₂ = ₁…

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Q: Find the interval of convergence for the series:

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Q: Convert 1682 to base three. A) 2022022 B) 2022002 C) 2021022 D) 2222022

A: 1682 in base 3

Q: 2. 3. Consider the region bounded by y=ln(x-1), y=2-x and x = 4 (see the figure on the right). a.…

A: Suppose on the interval a,b, a region is bounded between the curves fx and gx where suppose fx≥gx.…

Q: that there does not exist an integer n such that n= 21),

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Q: If k and n are positive integers and s₁ = 1k + 2k + 3k + ... + nk, m then prove that m+¹C₁s, = (n +…

A: Given, k and n are positive integers and sk = 1k+2k+3k+...+nk   We have to prove that ∑r=1m Crm+1sr…

Q: (a) Let A, B be n x n matrices. If AB = Onxn show that rank(A) + rank(B) ≤ n . (b) For any n x n…

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Q: Problem I f(t) to F(s) Use tables 12.1 and 12.2 from the textbook to find: L { of cor wt} Use…

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Q: 14. Determine which of the following series converge absolutely, converge conditionally or which…

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Q: How many conjugacy A5 have ? Define characters of A5 breifly

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Q: 5. By considering Z[¹+√5]*, or otherwise, show that if n and m are expressible as 2 a² + ab-b² and…

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Q: How to turn 25.16 into a fraction

A: Given a decimal 25.16 , we need to convert it to a fraction