-5くxと ニ 02 とLS

Q: 1 n=1 n' + 8 n + 1 n/n

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Q: Let V be a vector space of dimension 4, and let W be a vector space of dimension 2. Let L:VW be a…

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Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: Question 2. (7 Points: 3+2+2) (a) Prove that if a and y are rational numbers then x+y is rational.…

A: (a) To prove: If x and y are rational then x+y is also rational. (b) To prove: If x is irrational…

Q: m=0 nm-1 72 lim n2 + nj + j? n00 j=1

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Q: Which of the following is not a vector space?    A. The set of all 2x2 with integer entries and…

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Q: Find the Laplace transform of 0 2 (t – 6)² + 2 cos

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Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

Q: dy + 1 = y dx*1

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Q: 1. Find the particular solution of the given equation, d'y dy +ty = 0 with y(0) = 1 and y (0) = 0…

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Q: 1. You throw a fair dice twice. Describe the sample space. What is the probability that the sum of…

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Q: Let b #0 and for j = 0, 1, 2,., n, let S, be the area of the region bounded by the y-axis and the…

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Q: dY Consider the linear system: dt Y. (a) Show that the two functions Y1(t) = () and Y2(t) : 2t) are…

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Q: ion of the linear differential equatio ents, variation of parameters and red

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Q: Calculate: a) median b) first quartile

A: Class Interval Frequency Cumulative Frequency 90-105 24 84 105-120 62 86 120-135 72 158…

Q: 1. Use the Euler, methods to solve the following ODES : improved Euler and Runge-kutta dy = x (1+ x)…

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Q: Answer the following question in a less mathematical and more undestandable to a layman 1. What…

A: Introduction: The cardinality of a set is a mathematical measure of the set's "number of elements."…

Q: Mr. Farmer planted tomatoes on the ground garden beds as seen below. Suppose the garden bed row for…

A: Given, Garden bed row for tomato plants is modeled by polynomial (y2 -17y+16) in2 Then, Area of…

Q: 1 0 0 r - 2 2 What are the values for r and s for which has rank 2? S - 1 r+ 2 O A. r = -2 and s 1 O…

A: Solution

Q: Que n > 1, Is). Prove, using mathematical induction that for an integer 1+5+9+... + (4n – 3) = n (2n…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

A: given vertices of a triangle 3,2 , 7,2 , 7,14 use method of disks to determine the volume of solid…

Q: II. Consider the function g defined by g(x, y) 3 = cos (Tx /y) + х — у Do as indicated. 1. Determine…

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Q: [E] Four subject teachers Ali (A), Diana (D), Georgina (G)

A: the given data is as follows   B C E  K A 76 70 66 62 D 84 60 64 72 G 88 82 78 68 H 70 56…

Q: d²y + 6(x² + x) sin x dx² d²y + sin x dx2 dy dy + 6y sin x – 6 sin x dx dy = sin x + x²sin³x +…

A: In this problem we first simplify the equation to get Cauchy-Euler form and then solved the…

Q: a linear system in matrix form. 2. Rewrite the specified linear system in component form. dx dr = 2x…

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Q: Two circles whose radii are 12cm and 16cm, respectively intersect each other. The angle between the…

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Q: Find the volume of the solid generated when the plane region bounded by: y = ex and the x-axis is…

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Q: a). Evalieteo lim foca+la -4 X-2 b). f(x){ de?+72, xこ 3x2+3d9x > a Contir at evesy ?

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Q: 2) Consider the function g defined by glx, y) • cos (TxJy)+ log3 (x-y) la) determine дудх

A: Consider the function defined…

Q: 4x2 + 2. Let S be the surface with equation y = 9 (a) Write the equation of the traces of S on the…

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Q: A manufacturer of machinery parts determines that q units of a partic- ular piece will be sold when…

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Q: 6. On a certain day, the depth of water off a pier at high tide was 6 m. After 6 h, the depth of…

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Q: Prove that L(f) ≤ 0 ≤ U(f). Given that the bounded function f : [a, b] → R has the property that…

A: Given that the bounded function f : [a, b] → R has the property that f(x) = 0 for all x ∈ [a, b] ∩…

Q: y - 2 -1, 3 z - 1 2. Suppose the symmetric equations of lines l1 and l2 are 2 2 - y = z and a = 2…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 0.02z1 - 0.05z2 = -0.19…

A: Consider the given system of equations, 0.02x1-0.05x2=-0.190.03x1+0.04x2=0.52 So, the matrix form of…

Q: Determine the solution set of the following. a) – 11x +35 > 6x² b) т? -5m 23- 2m Зх — 2 c) 2x + 5 <…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 5 3. Use partial fraction decomposition, linearity and s-shifting theorem to find the inverse…

A: To find the inverse laplace transform of given function H(s) first we will take the partial fraction…

Q: Let A be an mxn matrix. Then O A. rank(A)+ nullity(A) =n-m B. rank(A)+ nullity(A) =m+n C. rank(A)+…

A: Given that A is a m×n matrix. We have to find the value of rank(A)+nullity(A)

Q: August eats a mix of Food X and Food ? Y for lunch. The amount of protein, calories,and sodium per…

A: We will form a linear programming from given data and then solve it by  graphical corner point…

Q: .A 2x 3 rectangular plate has vertices at (0, 0), (2, 0), (0, 3) and (2, 3). It rotates 90°…

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Q: (csc 0)(1+ sin² 0 + sin 0 cot² 0) d0 а.

A: This is a problem of Integral Calculus.

Q: at 0.6 ms. How fast is 0 changing at that instant? Is 0 increasing or decreasing at that instant?…

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Q: Solve the separable equation y = 2/y In x, y(e)=1. (initial value problem)

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Q: 1. Find the determinant of the following: [2 0 1. 1 2 4 l4 4 2 0 41 -2 3 1 4. 4 5 -2 -3 4 5 2 61 2.…

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Q: a.) Γ(7) b.) Г(5) c.) L[t!2]

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: x2 = 2 - y and y =x – 1 are bounded. Identify its area. Vertical strip A = (Vu - yı) dx Horizontal…

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Q: Use the above formula to write each of the following limits as an integral (a) (b) m%3D0 nm- lim n2…

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Q: S() = cos² (21) + e² e

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Q: Find the equation for the plane through the points Po(5, - 4, - 4), Qo(2,0. – 2), and Ro(4,1, – 2).…

A: Introduction: A plane is a three dimensional geometrical structure. When there is a projection of a…

Q: Which of the following is not a vector space? (; :) A. The set of all 2x2 matrices of the form with…

A: Solution:-