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Q: Consider the one-dimensional ODE ü = u? + u + a, where a is a real parameter. Find the (real) fixed…

A: Given that u˙=u2+u+a                             1 where, a is real parameter, (1) Fixed points the…

Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

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Q: Q.15) The solution of y" + y' = 0 by using power series method, is: %D a) y(x) = ao + a, (1- x2 %3D…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= a cos 20 and = 5t, where a…

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Q: Given a smooth function f such that f(-0.2) = -0.91736, f (0) = -1 and f(0.2) = -1.04277. Using the…

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Q: The equation x2 + Bx + y² + Cy + D = 0 is a O hyperbola O parabola O ellipse circle

A: Use the general form of an equation of a conic section.

Q: The hyperbola with asymptotes having the equations y -x and y--x and one verlex at (2, 0) has the…

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Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

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Q: Q.15) The solution of y" + y' = 0 by using power series method, is: x2 a) y(x) = ao + a, (1- x5 b)…

A: We will use power series solution of the form  y=∑n=0∞anxn and substitute values in given…

Q: Consider the function g defined by 1 g(r, y) = cos (7IV) + log3(r – y)" Do as indicated. 1.…

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Q: 5. E=Z+, (a*b) = (a· b)/5 6. F= Q, (a*b) = (Imax(a,b)]/b) - 9

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Q: Given E(x,-)-78 and N= 80, then the population standard deviation, a, is approximately O a) 0.975…

A: Given, Σ(xi-μ)2=78  and N=80 We have to find population standard deviation σ.

Q: If W, and W2 are finite - dimensional subspaces of a vector space V, then W + W2 is finite –…

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Q: Question 40 Calculate the arc length of the unshaded region. [40 ] 4 ft Po 80° D. O 54n/9 ft O 19.4…

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Q: Romberg integration for approximating S, f(x) dx gives R21 = 2 and R22 2.55 then R1 %3D 0.35 2.15.

A: Introduction: Romberg's approximation is used in numerical analysis to approximate the definite…

Q: Let z1 and z2 denote complex numbers. Show that (z, z2)= z,72 defines an inner product, which yields…

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Q: Evaluate the following and express it in polar form. tan(0.2 - jo.6)

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

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Q: 1. Determine the eigenvalues and the eigenvectors of the matrices -1 -1 1 a. C. -4 2 4 -1 1

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Q: dy Solve x dr + 5y = x sin (ax?)

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Q: A B C D 1 Assembly line MPV City car 2 A 10 5 10 B 6 20 10 4 C 8 15 10 Profit 200 300 3.

A: We have to solve the above problem using the graphical method.

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: 4s+2 1. F(s) = s² +6s+34

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Q: Evaluate the guea linie integal- dR,wheru ConGiste the cuito x ty": the spper part g the ails x'ty*…

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Q: The linear second-order differential equation (1 — х?)у" — 2ху' + п(п + 1)у %3D 0 where n is a fixed…

A: Given that The linear second-order differential equation as: 1-x2y"-2xy'+nn+1y=0              1 (a)…

Q: Y3D8 e -0.3t cost

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Q: 4. Let f:A→R and g:B→R where f(A)cB. Explain to prove that if f is continuous at CE A and g is…

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Q: QUESTION 5 Solve the following two parts. (a) Write the Fourier series for cos? (x), x€l- n,m) even…

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Q: Consider the lines x = -1+ 2s 3 l1 : 2 and l2 : y = s 4 %3D z = 5+ s а. Find the coordinates of the…

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Q: Use appropriate Lagrange interpolating polynomials to approximate f(1) if f(0) = 0, f(2) = −1, f(3)…

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Q: The region shown is bounded by x = 3, y = 0, and y = x. y 1 1 2 3 4 If the region is rotated about…

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Q: dx is: value of the integral sinx the Using Simpson's rule 113,

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Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL parallel to…

A: Given that  Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL…

Q: . Let R be the relation on Z→ Z such that ((a,b),(c,d)) eR = a+d =b+c. Show that R is an equivalence…

A: An equivalency relation on a set is a reflexive, symmetric, and transitive relationship for…

Q: 1. Evaluate the given line integral, / (x – y, y) · dŘ, where C is the left part of x² + y² = 1 from…

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

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: 1. Evaluate the given line integral, | (2² – y,y) · dŘ, where C is the part of a = y? – 1 from (0,…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: -3 Let m be a real number and M = -69 If M is a linearly dependent set of M22 then m=4 m=6 m=1 None…

A: Let , m be real number. We know that , M2,2 is a set of 2×2 matrices. We have given that ,  M =…

Q: use an integrating factor to solve the given differential equation dy 2 2 + Зx у — х dx

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Q: Explain why the Second Derivative Test is often mistaken for the POI Test. In what way(s) are they…

A: We know the following. POI Test: An inflection point is a point on the graph at which the second…

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

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Q: Obtain the differential equations satisfied by the given puiiicular solution 4. y = e3x- 5e - 1 5. y…

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Q: [8]. Consider the series (-1)" – n+4 n(n + 3) * Is this series conditionally convergent, absolutely…

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Q: 2. B=Z, (a*b) = a+b 3. C=Z+, (a*b) = (Imax(a,b)]/8) + 3

A: 1) This is closed under the operation ,because a+b=b+a for all a,b 2)This is also associative 3) 0…

Q: Evaluate the given line integral. I (y, –x) · dR, where C consists of 4y = x² from (-2, 1) to %3D C…

A: Line integration of the function

Q: Q.5) The general solution of the equation y"+ 9y" = 0, is: %3D a) y(x) = c1 + c2x + Acos3x + Bsin3x…

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

Q: Find the future amount of ordinary annuity if you save Php 200 every quarter for 5 years earning 9%…

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