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Q: In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for each…

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Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 1 from…

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Q: The parabola y =- x² + x +1 opens O upward O downward O to the right to the left

A: First we find the vertex and axis of the parabola and then sketch the graph passing through some…

Q: Can you explain your calculation for this ans how 100.1 came when we multiply all values

A: Solution

Q: Evaluate the guen X- pper pat f the cuike L'ty from "(-1,0) parabala. to (,0) and the m (i,0) to…

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Q: Consider the points which satisfy the equation y = x + ax + b mod p where a = 4, b = 2, and p = 11.…

A: Given : equation     y2≡x3+ax+b mod p where a=4, b=2, and p=11 To find : the elements of the…

Q: • The intersection of D with the ry-plane is the region bounded by the cardioid with the equation r…

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Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: f) Minimize Z = 5x1 + 4x2 subject to: -4x1 + 3x2 2 -10 8x1- 10x2 s 80 X1, X2 2 0

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Q: In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls…

A: This is a problem of counting and finite math.

Q: be a filter in a space X and v be the associated net

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Q: Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R…

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Q: Find the extreme values of the function z= &r+2ry-3r+y+1 and show that only one of the two extrema…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove or disprove For function f:→ R → R f(x) = x² and every onto function g(x) : [0, 00) → holds a)…

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Q: Consider, dy 2r + 12x? – 20x + 8.5 Find the solution of the given ODE from x = 0 to x = 4, with the…

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Q: Q2: Find the general solution of the system i = 3x – y ý = 2.x,

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Q: A number is divided into two parts, such that one part is 10 more than the other. If the two parts…

A: The ratio between two parts are 5:3. Consider two parts are 5x, 3x. The difference between two parts…

Q: 1. Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: Given an experiment . Sixteen toothpicks are arranged as shown (given in the question).  We have to…

Q: 25 and 26

A: Since sum of all angles is 360    angle(P)+angle(Q)+angle(R)+angle(S)=360     80+x+2x+70 =360…

Q: A. Perform the indicated operations on sets. 1. AUB 2. AnD 3. AUCUD

A: Given data:A={3,6,9,12,15,18}B={4,8,12,16}C={3,6,9,12}D={1,2,3}E={3,9}F={1,2,3,4,5,6,7,8,9,10}

Q: / y = = V3y = 1 y = 1-1 (z – 2)² + y² = 4 -4 cos e (a) r dr de sin 8+cos e 4 cose (b) r dr do sin +…

A: To find the double integral in polar coordinates that gives the area of the shaded region in the…

Q: = 0.11(1 – I) – 0.03I; I € (-0.1,1.1); I(0) = 0.2; I(0) = 0.9 dt dR R - 0.1R; R E (-0.1, 10); R(0) =…

A: 4) a)dIdt=0.1I(1-I)-0.03I; I∈(-0.1,1.1); I(0)=0.2; I(0)=0.9 ⇒dIdt=-0.1I2+0.07I=-0.1I(I-0.7);…

Q: Including the broken lines, how may radii are there in the figure? C f E f a b G F D O 5 O 4 O 2 O 3…

A: Radius of circle: a radius of a circle is any of the line segments from its center to point on…

Q: 14. Use the Gram-Schmidt process to transform the basis for the Euclidean space R" into an…

A: We have to transform the given basis into an orthonormal basis for ℝ3

Q: Evaluate the given line integral. | (y, –x)·dR, where C consists of 4y = x² from (–2, 1) to (2, 1)…

A: The line integral of  F→ along curve C is ∫CF→.dR→ =∫ab F→r→t.r→'t dt Where r⇀t represent parametric…

Q: (b) Determine the proportion of matches in which Tallygaroopna scored between at least 120 but less…

A: The proportion of matches in which Tallygaroopna scored between at least 120 but less than 180…

Q: 4. Determine the exact value of the following. tan? () – sin (;) cot (A

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Q: what is gross  monthly for the hourly position?

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Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: dy dy Consider the second-order equation + p- + qy = 0, where p and q are positive. dt dt (a)…

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Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: View Sign Wincow dp Tools Math 52_Final E 14 14 124% 14. Use the Gram-Schmidt process to transform…

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Q: Romberg integration for approximating f(x) dx gives R21 = 6 and R22 = 6.78 then %3D R11 = a) 2.66 b)…

A: Solution :-

Q: 6. Let U be a unitary matrix. Prove that (a) UH is also a unitary matrix. (b) ||Ux|| = ||x|| for all…

A: Given U be  a unitary matrix We have to prove the following a UH also unitary matrix b Ux=x for all…

Q: How to find the minor of a 4x4 matrix?

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Q: 13. The area which is inside the circle r = 10cos O and to the right of the line r = sec O:

A: 13. The given curves are r=10 cosθ and r=secθ To find: area of the region bounded by the given…

Q: Solve 3 (x² + y²) dx + x (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

A: Given the equation 3x2+y2dx+xx2+3y2+6ydy=0...(1) The first order of the form Mx, ydx+Nx,…

Q: Let D= D1 U D2 , where 0 <y< 1 y <a< 2-y 0 Szs (2-a - y) D : 0 <r< 1 D2 : a Sys 1 0 <:S 1-y Which is…

A: Here we need to find a region which will cover both D1 and D2

Q: 1. Solve for x(t) and y(). given that x(0)=4 and y(0)=3 da + x + 4y = 10; x dt dy - y = 0 dt What is…

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Q: Ofind an upPer bound for the reciprocaL of the modulus of ż"-52+6 if 121=2 2Itint: z" -52²+6= (2?…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: yt Va2+y² dy dr ; when x = v3 , y= 1 ||

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Q: 6. Let L:R2 R be the linear transformation defined by [x-y x+y 2.x Let S be the natural basis for R?…

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

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Q: dz dz and an Draw a dependency diagram and write a chain rule formula for given the functions below.…

A: We will use the concept of chain rule of differentiation of Multivariable function and formation of…

Q: You deposit Php 5000 each year into an account earning 8% interest compounded annually. How much…

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Q: A. For each of the following arithmetic sequences, find a) the common difference; b) the equation of…

A: To find the terms of the given arithmetic sequence :-

Q: Questions: Solve the differential equation below over the interval from x = 0 to 1 using a step size…

A: According to guidelines we can solve only 3 subpart

Q: Solve y' – y sinx = 2 sin a ; 2 sin x ; y (T/2) = 1 -

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