Find the volume of the solid bounded by z = 4х - Зу, Зу %3D 4х, Зу %3D - 4х and x = 7. Leave your final answer correct to two decimal places.

Q: A parcel of land in the form of a triangle has sides 312 m long and 485 m long. The included angle…

A: Convert the angle in degree = 81o30' Angle = 81 degree 30 min = 81 + 3060 degree =81.5 degree Area…

Q: Step 2: The function f(x) needs to be continuous at the left endpoint [-1]. 3 a. Evaluate the…

A: A function f(x) is continuous at the left end point of an interval [a, b] if  fa=limx→a+ fx

Q: QUESTION 2 For a mapping from a (set) domain X to a (set) co-domain Y to be considered a function,…

A: We have domain X and co-domain Y Mapping is considered a function if for each input value we have…

Q: Find A such that the power set of A is {{}, {{}}, {a}, {{a}}, {{{a}}}, {{}, a}, {{}, {a}}, {{},…

A: To  Find A such that the power set of A is {{}, {{}}, {a}, {{a}}, {{{a}}}, {{}, a}, {{}, {a}}, {{},…

Q: applies to func

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Q: Find all solutions to the equation (D² – 3D + 2)y(x) = 2e³".

A: Given differential equation is (D2 - 3D + 2)y(x) = 2e3x

Q: Find a basis of the subspace of Rª defined by the equation 4x1+ 7x2+ 4x3+ 9x4= 0. Basis:

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Q: 1. Solve the diffusion equation on half-line and express the answer in terms of the error function:…

A: Given the diffusion equation ut=kuxx                                 (1) re-write the equation as…

Q: y = (c,+c,x)e¯*+ (c;+cx)e½ y = c,e*+c,e¬*+ (cz;+cx)e½ (4D4 - 4D3 - 3D2 - 2D + 1)y = 0. y =…

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | (3y +…

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Q: a) Let f: R-R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one.…

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Q: Question 8 A particular solution of the differential equation y"- 2y'+y=e" is Y, = x'e* /2 = e*14 y,…

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Q: Q2/ Defined x as 100 linearly spaced values between -2n to 2n. Defined y1 and y2 as sine and cosine…

A: To define x as 100 linearly spaced values between -2π to 2π . And define y1 and y2 .

Q: 5 -3 Are the vectors -3 linearly independent? 5 and 3 linearly independent· If they are linearly…

A: To show that the given vectors are linearly independent or not.

Q: SOLUTION: C =(h,k)= (3,-2) and r= 3 So that, the equation of this circle (x-hy +(y-k)=r…

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Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

A: The given problem is to find the net area and total area of the region bounded by given curves…

Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. (A y(t) =…

A: Given differential equation is y'' + a2y = 0; y(0) = 1, y'(0) = 0

Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has 150 followers and a follower of Jim follows Jim and 149 others. Let the set S is…

Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Here are some numbers 8 11 13 18 25 37 8 13 18 is an arithmetic progression and the rule is to add 5…

A: Given numbers are 8, 11, 13, 18, 25, 37, 8, 13, 18. We have to select any three of the numbers to…

Q: Define A : L3/2[–1, 1] → C by Prove that A is a bounded linear map and compute its norm.

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Q: A square matrix A is idempotent if A² = A. Let V be the vector space of all 2 x 2 matrices with real…

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Q: 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose…

A: Given that V = ℝ2 and  H is the subset of V of all points on the line -4x + 3y = -12 .  We need to…

Q: Consider the following function. f(x) = ln(1 + 2x),    a = 2,    n = 3,    1.6 ≤ x ≤ 2.4 (a)…

A: (a) T3x can be estimated by using the following formula. T3x=∑n=0nfn0n!x-an

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

A: Given function is fx,y=xy and 4x2+8y2=64. We have to find the maximum and minimum values of the…

Q: 2. Find the general solutions of the following differential equations. y In y x InxX, y > 0 (b) (sin…

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Q: Q.9 Using remainder theorem, check whether p(x) is a multiple of g (x) or not. (i) p(x)=x' -5x² +…

A: The given question is related with remainder theorem. We have to check whether px is a multiple of…

Q: Solve the initial value problem (1 +2*)y" + 2y = 0, y(0) = 0, y (0) = 9. If the solution is y = co…

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Q: If A, = 1x | x = kn, k E Z}, find (a) A2n A5; (b) U An, for n e N. n=1

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Q: Find the taylor Series of f (x) centered at the of a and the interval on which the expansion is…

A: Given f(x)=cos x, a=π/2

Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has followers 150 in number. Also, each follower of Jim follows Jim and 149 others…

Q: -3 2 Find Q for the QR factorization of A = -26 given the orthogonal vectors -2 -13 1 6. 0.13 V1 = ,…

A: We can solve this by using given information

Q: Given problem: Tank A contains 203 litres of brine holding 112 N of dissolved salt, and tank B…

A: Solving system of differential equations by matrix method

Q: (b) Expand the following function in series form: 1 i. f(z) = for 1 < |z| < 3. (z-1)(z+3) 4z-1 ii.…

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: How many potatoes are there in 10 kg bag

A: Given: THere are 10kg of patatoes. Concept: Let us take x be the number of patatoes in 1 kg.

Q: Consider the series Use the Ratio Test to show that this n2n n=1 series converges when < 1 (so when…

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Q: (a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8,…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the solution. y' = 5y + e2x y-2, y(0) = 2 13e-15x + 3e2x )1/3 A y = 23 139e 15x – 3e -2x )1/3…

A: Giving differential equation is  y'=5y+e-2xy-2 , y(0)=2

Q: 1. Show using sequences of functions that lim -nz? e dx 0.

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.  The constructible…

Q: 1. The integral 27 de can be converted 7+ cos 0 into the following complex integral using a suitable…

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Q: The cyclic group of order 12 acts on {1,2,..., 12} with the following cycle structure. (1)…

A: Given that,  the group of order 12 In this case of necklace, there is no difference between…

Q: Let H ( = span {(0, – 13, –6), (5, 16, 9),(-2,–9, –5)}. A basis for the subspace H C R³ is { vector…

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Q: Find a basis for the column space and the rank of the matrix. 1 -2 -2 -4 7 14 -6 -3 -2 -2 2 4 -3 -6…

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Q: Find the positive values of p for which the series converges. 1 9) Σ n(Inn)" n=2

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Q: A factory manufactures two types of calculators Scientific and Digital. Each type of calculator…

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Q: 3 the sum of three conseutive numbers is 72 what is the smallest of these number? a 13

A: Introduction: Conditional statement is very significant in mathematics. A conditional statement is…

Q: 1. The integral de can be converted into the following complex integral using a suitable…

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Q: Solve the equation In(x + 2) = cos(e7 - 3) + 2.5 using the Newton-Raphson method with an initial…

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