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Q: Find the matrix corosponding to rotation of 90 degrees about x-axis and then find it's Eigenvectors…

A: Eigenvalue: A real/complex number λ is called an eigenvalue of the matrix A if for a non-zero vector…

Q: sing Matrices and Determinants, solve the following applied problems. Find the area of the triangle…

A: given  vertices of the triangle (-1, -2), (2, -1), (1, 3)

Q: Given the vector field F=rcoso ar+ -sine ae +rap After solving for the question, what is the scalar…

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Q: Question 5. Given a metric spaceX,p> (a) If the sequence (rn)EN CX is convergent, show that it is…

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Q: Find general solutions 17. y" - 4y = -12x² + 6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+ I; 20. y" -…

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Q: 1 1 1 (c) Find simple descriptions for each of the sets U • U [ ₁ - ² x + ¹) and № [² - ² + ¹) X- n…

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Q: Solve the following simultaneous DE using Laplace transforms. 2 dy fut dx 5 sin t = 0 dt −y+x+ dt dy…

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Q: Given: y' - 2 = −e¯4x – 2y, y(1) = 0.25, h = 0.05. At what value of x will the % error in the…

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Q: The shape of Oklahoma can almost be divided into 2 perfect rectangles and 1 triangle. About how many…

A: To find the area of the Okiahome cover.

Q: Evaluate (5x + 2√Y) ds where C is given in the accompanying figure. S (5x + 2√/Y) ds = 27 (1²-₁)…

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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: Find the feasibility region bounded by the following systems linear inequalities. Find the critical…

A: Draw the lines x+2y=6, 2x-3y=12, x+2y=10, x-y=1, x=0 and y=0 on the graph paper.

Q: For integers m, n, p, q E Z, n, q0, use this and the field axioms (a) Prove m + P 9 mq+np and m. 2…

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Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

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Q: 18. 20. 13 22° 9 57° 125° X 32% X 19. 21. 34° X 3.1° X 26 70° 66° 9

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Q: Consider the curve where a =0 (a) Compute(t) at t = [0, +∞). (b) Find the tangent line at the point…

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Q: If Ø: R→ S is a ring isomorphism. The Ø p

A: Given, if ∅:R→S is a ring isomorphism.

Q: 4. (a) Show that the outward flux of the postion vector field F(x,y,z) = (x)7+ (y)] + (z) through a…

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Q: - 3 -) Determine the values of constanas a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local…

A: As given (0, 0) is a point of local maximum and (1,−1) is a point of local minimum of f(x)

Q: Graph the parabola then answer the questions about the vertex, any intercepts, the domain, and…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

Q: Given the f(x)=log(x3)+x, find the area under the curve from x=3 to x=5 using:  Riemann Sum. Use…

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Q: Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x…

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Q: Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation…

A: If S has no accumulation point that's does not implies that the set S is closed. Counter example is…

Q: Y(s) 3 8. For the first order transfer function [ = [], K₂= X(s) S+ T= b. 15 c. 5 d. 3 a. 6

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Q: Compute the upward flux of the vector field Ĥ(x, y, z) = (x, 0, 2z) across the portion of the…

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Q: Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), Ģ(1) = (2,1,3), G'(1) = (-1, -2, 4),…

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Q: a) Show that F is conservative while G is not. b) Evaluate GdR, where C3 is defined by R(t) = tî +…

A: This is a problem of vector calculus.

Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: Q3:what is the difference between the finite element and finite volume method

A: We have to write the difference between finite element method and finite volume method.

Q: For n € N, { x = R | |x-x*|<1/n } is open.

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Q: III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e

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

Q: Solve the following using Cramer's rule: (Show your solution) 3y (a) 4x + 4y |||| 12

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Q: Example of a function that is dot convergent but not uniformly convergent

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Q: Example: we want to find an n-3 Riemann Sum to estimate the net signed area trapped by f (x) on the…

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Q: Solve equations: 1 9. xy = x+y; M(0;0).

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Q: -sine ae +r a evaluate the line integral of when evaluated from n (2,π/2,1/3) to (2,ñ,π/3). sin F…

A: Using the orthogonality of the spherical coordinates.

Q: Solve the following simultaneous DE using Laplace transforms. 1. dx dy 2 + dt dt 5et dy dt 3 da - 5…

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Q: Prove using mathematical induction that for all n ≥ 1, n(3n-1) 1+4+7++ (3n - 2) = 2

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Q: Find one particular solution to the following second-order forced equation d²y dy +8 + 15y = 5…

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Q: Consider two identical firms with similar cost functions given by C1 = cq1 and C2 = cq2. The market…

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Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure. If C:…

A: From the option one is function of t, infact it is clear from the parametric as a function of t

Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

A: The given problem is to estimate the given following integral using Trapezoidal method with n=10…

Q: 6 By Separation of variables, Solve the following 5 PDES :: ²4 224 • dt² dx² 0 o u(e,t) = u(5,t) =6…

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Q: Consider the curve where a is the last digit of your exam number. (a) Compute=7 (t) at t € [0, +∞).…

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Q: Given: y' -2=-e 2y, y(0) = 1, = 0.1. At what value of x will the % error in the approximated value…

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Q: for a quilt using polygon EQFRGSHP shown.

A: Given as,

Q: olutions and sket

A: Given: The plane2x+y+2z=8 The parabolic cylinder y=x2

Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: Given that  The objects vertical position, measured in feet after t seconds is given by h(t)  To…

Q: 1. What is the volume of this prism? 3 3 6.97 3 54 cubic units 63 cubic units 36 cubic units 16…

A: The height of the prism is 4 units, length is 3 units and wide is 3 units. So, the volume of the…

Q: II. Solve the initial value problem. 1 y= dr x+1 *(x + 1)¹3(e) = 1 (b) / + y tan r= cos² r, y(0) =…

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