equilibrium

Q: Find F(2). 5sinh (3t) + 4cosh (3t) round off to 1 decimal place. Answer: -4.6

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Q: Prove by contradiction that if a sum of three real numbers is less than 30, th at least one of the…

A: We have to prove by contradiction that if a sum of three real number is less than 30, then at least…

Q: Let Aj and A2 be basic subsets of X i. Is Aj U A2 a basic subset of X? ii. Is A N A2 a basic subset…

A: This is a problem of set theory and logic.

Q: di t. + 4 i - 5 Si dt = 2 u (t– 2) dt

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Q: thi.2 Evatuate the foltawingcartesian integrats by changing them inte equivalent Pelar integrals: 2.…

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Q: 6. Consider the given circuit. Determine Ig , IF +5 V RE=2 k2 oVg=+4V R = 100 kQ www Rc=8 k2 -5 V ww

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Q: Javier has $15 to spend on action figures. If each figure costs $2, what is the *greatest number of…

A: Given,  Javier has  $15 spend on action figures Each figure costs  is = $2

Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: For problems 4 - 6, evaluate I= -dz on the given contours. Question #4) Question #5) Question #6)…

A: We have to evaluate I = ∮C 1z4 - 1 dz on the given contours :          4.   C4 : z - 3 = 3…

Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

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Q: The matrix 4 0 0 12 A = 8 12 12 8 -8 0 -4 has two distinct real eigenvalues A1 <\2. Find the…

A: Given matrix:A=400012012128088-80-4-4To find: Eigenvalues and a basis for each eigenspace.

Q: An engineer who accidentally inhaled poisonous fumes was given treatment for it. The concentration…

A: Let us solve the given question by method of least square in the next steps.

Q: اسدملط Find the akeaf fak the fallowing egions: Area enclosed by the diagram V= sin3

A: Introduction: A polar curve is represented as r=fθ. When we determine the area of the region bounded…

Q: A boundary value problem is defined by the following DE and boundary conditions. d'u +x = sin dx px…

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+2y+ 4z = 12

A: Given the solid plane 3x+ 2y+ 4z = 12. We have to find the double integral that solves for determine…

Q: 4. Evaluate the iterated integral: E dydr. 1/4

A: Double integral

Q: Solve the differential equation y" +4y' +4y 6e", y(0) =-2, y'(0)=8. using Laplace transform

A: Given differential equation:y''+4y'+4y=6e-t ; y0=-2 and y'0=8To find: solution by using the laplace…

Q: (3) Prove that the piece-wise function defined by 1 3x if x -2 is integrable on [-4, 7]. (Hint: do…

A: The given question is related with integrability. Given a piece -wise function…

Q: The Fibonacci numbers are defined by Fo = 0, F = 1, Fx = Fx + Fk=1 for k = 1,2, .... Relations such…

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Q: Evaluate the upper and lower sums for f(x) = 1 + x2, -1sx< 1, withn = 3 and 4. Illustrate with…

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Q: -у — (: 3x)dx + curve passing thr• atisfying the diffe -2x 2x in

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Q: ly manufactur nk for the exp- greed that she

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Q: 4. SET-UP the double integral that solves for the volume of the solid: *+2 = 4 2 +y = 4

A: Given that

Q: Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded…

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Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

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Q: Find the following complex series. 2. Find the Mclaurin Series expansions of cos(x) + sin(x) up to…

A: Macluarin series expansion of the function

Q: If y is the solution to the initial value problem 9x2 y(0) = 1 2y then 2) =

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Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

A: Part (a) Analytically

Q: Find the Laplace Transform of 10 + 5t + t2 - 4t3 10 5 2 24 A s2 10 5 B) 10s + 5s2+ 2s3 – 24s4 2 5…

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Q: 86s – 78 Find the Inverse Laplace Transform of (s+3) (s – 4) (5s – 1) - (A ,-3t – e 41 4e 41 4r B) 5…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The series (-1)"n²n! 2n n=1 converges absolutely converges conditionally diverges diverges…

A: Ans: diverges

Q: 3 1 -1 1 tA = [1 B= [0 1 ‚ nd the least-squares solution to the equation Ax = B.

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Q: Q2\A\\ ( Use the Integral Test to determine if the following series is convergent or divergent, (two…

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Q: The​ O'Connors own a small janitorial service. John requires 14 hour more time to clean the Moose…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y® +…

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Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given…

A: Sol

Q: A spherical tank of radius 4m is filled with water to a height of 1.2 m. The water is transferred to…

A: Let us find the height of the frustum of the cone in the next steps.

Q: Given the area bounded by the parabola x² – 4x + 12y- 20 = 0, the x- axis and the lines x = 1 and x…

A: Sol

Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

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Q: 4. I, Let L: V W be a linear transformation from the vector space V to the vector space W such that…

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Q: Determine whether W = {ao + a1x + a2x² + a3x°|ao + a2 = az ɑ1} is a subspace of P3.

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Q: h.2 Evatuate the foltowingcartesian integrato by changing them inte equivalent Pelarintegrals: 3-…

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Q: x3 – 2x2 – 5 = 0, [1,4]

A: With the help of bisection method we find the root of the equation.  In this method we find a…

Q: Thedremilf fIa b}8is.cantlunans funchianthen fERiemann Ianb'sr Does the conkerse af the…

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Q: Question 11 Let k be a real number and let ( be the line whose equation is given by 1 1 +t teR. k If…

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Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: Given that,C1 is the circle r=3cosθC2 is the cardioid r=1+cosθ

Q: (b) The affine cipher E is given by E(x) = 17x - 3 (mod 26). The conversion table for letters and…

A: Given that The affine cipher E is given that Ex≡17x-3 mod26 (1) consider…

Q: f(x) = (x-3)(x+1) (x-2)(x+2)(x+1) %3D

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Q: 3. Supply the missing integrand and limits of integration. v/2 (m) [" 62y dzdy = - dy (b) 62y dydr =…

A: We have to supply the missing integrand and limits of integration.

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = rh. %3D (a) Find a…

A: The instantaneous rate of change of the function y=f(x) with respect to x is lima→0f(x+a)−f(x)a,…