Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

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A: As per company guidelines we can solve one question at a time so i am solving first one. please…

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A: The given problem is to find the volume of the given solid bounded by given parabola and x-axis.…

Q: Let A = -4 -12 4 12 Let B = 1 3 -5 -15 Find k such that KerA is a subspace of Rk 1 Find k such that…

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Q: Let C be the code given by the matrix 0 1 1 Suppose x = (11010) and y = (10110)t are received.…

A: If G is a matrix, it generates the codewords of a linear code C by {\displaystyle w=sG} where w is…

Q: 3 (i) Given that 3x³ +5x2 + px+8 = (x-2)(ax² + bx + c), find the value of each of the integers a, b,…

A: Here given that 3x3+5x2+px+8=x-2ax2+bx+c We have to find the value of the integers a, b, c, p and…

Q: Calculate the forces in members AC, AD, and DE for the loaded truss. Restraining link BC is…

A: Please see the attachment

Q: y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

A: First you will form the general solution by finding the complementary solution and then particular…

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Q: Slope values for the degradation of ascorbic acid in orange carrot juice concentrates stored at…

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A: As per the question we have to prove that if a matrix A is strictly diagonally dominant then it must…

Q: Note: Answer all the questions. Ꭷ дуг ď²v 1. (a) If v zlog(x + r) - r, where r² = x² + y², then show…

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Q: Find the radius of convergence, R, of the series. R= Σ n = 3 I= X²+2 4n! Find the interval, I, of…

A: We use ratio test.

Q: Simplify the following using the algebra of propositions. Show your solutions.

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Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Need to find a formula for a number sequen Values Numbers (n) 1 1

A: Analysing the table we can see that the numbers are not in ordered increase therefore it is not a…

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Q: Find the four fourth roots of 7+27 and express the roots in polar form. [A] 1.64 cis 3.99°, 1.64 cis…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 9. A city has decided to test and re-paint the fire hydrants. They can test and paint 5 fire…

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Q: Problem 5. [15 pts] A particle moves along a horizontal axis with velocity v(t) = 2t-t² +3 meters…

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Q: - State and prove the convergence order of Newton's approach:

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Q: Determine the form of a particular solution yp of Ур y" + 4y = x cosx. Do not solve the equation.

A: Here given the differential equation as y''+4y=xcosx or D2+4y=xcosx where D=ddx

Q: 1. How many attended only the FSU-Butler game? 2. How many did not attend the Marist, Butler, or…

A: Given that total number of people are 445. To find: 1. Number of people attend only FSU-butler game.…

Q: y (b) If f(x, y) = arctan quadratic approximation. x 1 compute an approximate value of f(1.1,0.9)…

A: The given problem is to find approximate value of the given function at given point by the using the…

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11,2x…

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Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: Romberg integration for approximating f f(x) dx gives R₂1 = 2 and R22 = 12 then f(0) = O 14 O 4 O…

A: Here given integration as ∫-11fxdx and given R21=2, R22=12 Now, According to Romberg integration for…

Q: o find the smallest positive root of tan x-x=0 which of the following re-arrangemen propriate? e the…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

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Q: 5. Use Green's theorem to evaluate where C is shown below (6y - 9x) dy — (xy - x³)dx (-1,4) (-1,-1)…

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Q: Find the general solution of the differential equation dy (x > 0). dx = 2x cos(x) The general…

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Q: Let X and Y be normed spaces. For F € BL(X,Y), define ||F|| = sup{||F(x)|| : x € X, ||1|| ≤ 1}. Then…

A: There are definitions of norms on bounded linear operators, they all are equivalent.

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Q: Let A = 0 1] 3 03 0 0 2 = If possible, construct P and D such that A don't need to compute P-¹).…

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Q: Let (..) be the usual inner product on the complex vector space (₂[x]. Recall that is a…

A: Given : T : ℂ2x → ℂ  defined by  Tgx = g(x), x,  where . , . is the usual inner product on ℂ2x. To…

Q: The regular price was $520, but I got it for $457.60. What percent discount did I get?

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Q: Example 2 Let A = [aij], B = [bj] be two nx n matrices in Mnxn with inner product (A, B) = tr (ATB)…

A: Given A = 1011 ,  B = 0200

Q: Find the area of the surface formed by revolving the ellipse about the z-axis (an ellipsoid) y² + a²…

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Q: $ D Surface Aren So Sex & trift-gin 1-1/² D S= (6²-y²) =7 y b₂ SERS() JH (fa) dx 6² D 0 $10k Tave…

A: From the above details we have,

Q: 6. A mass-spring-damper system has the equation ma" + ßx' + kx = F(t), where r(t) is th displacement…

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Q: Jo makes $30,000 this year, after a 20% raise. Find old salary.

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Q: The multiplicative inverse of x² + x in Z₂ [x]/ is: Ο Ο Ο Ο O x+1 None X^4 X^3

A: We know that ,  ℤ2x/x3 + x + 1 = fx +x3 + x + 1 / fx∈ ℤ2x We need to find multiplicative Inverse of…

Q: Solve the heat equation u = 12u, 'XX' u(x,0)=(x-8). 8 ○ Au(x, t) = 2/7/7 | e-120²₁ sin[(x-8)]d w. 2A…

A: Introduction: The heat equation is a very important partial differential equation. The method of…

Q: 4. Find the determinants by row reduction to echelon form. (a) 2 -1 4 1 3 -1 2 1 11 0 2 3 1 0 0 6 6…

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Q: ner method ation 3 on x² +

A: Given function is, x3+x2+xe+2x-1=0

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 3) Plove that (3-21) (x+2₁) = 3+2i iFiTwas very valuable x, y

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Q: Integrate f (x,y,₁/2) = 2² +12y +7 over the cuna 7 (t) = (²1 +31²) + (1², 1st sz - 6+² try to sketch…

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