1. Provide any set S1 and S2 such that: (a) Si and S2 are subspaces of R", and that (b) Si U S2 is also a subspace of R". Provide all the necessary justifications for your answer.

Q: Find a parameterization for a line passing through the points (1,1) and (5, 13) O x = t, y = 3t-2 O…

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x ーX

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Q: れ+5

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Q: 8. (A) not a function (C) function; domain: [-4, 2] (D) function; domain: [-4, 4] (B) function;…

A: To identify give mapping are function or not.

Q: 3. Express 2e3+% in (a + jb) form.

A: As per our guidelines we supposed to answer only one question. Here question 3) answered.

Q: find the volume of the solid generated when R is revolved about the x-axis

A: Given that,R is the region enclosed by the curvesy=cosx, y=ex, x=π2The volume of the solid generated…

Q: (2) Consider the autonomous differential equation V = y4 – ? for a function y = y(t). (a) What are…

A: let us solve the given problem step by step....

Q: 1. How will you compare Riemann Sums and Definite Integral? 2. When does the approximation value of…

A: part 1) solution:- Definite integrals represent the exact area under a given curve, and Riemann sums…

Q: Question 3: Consider the SIR model with the square root dynamics ds = A- uS – BVSI, dt dl BVSI -…

A: Given: An SIR model with square root dynamics, dSdt=λ-μS-βSI dIdt=βSI-μ+γI dRdt=γI-μR (c.) To write:…

Q: b) Find all the roots of x3+7x?+7x+1=D0

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Q: ). For the following ODE ( 2y + dx + (2y + x) dy = 0 i). Verify that the given differential equation…

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

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Q: Cantor Intersection Theorem: Let {Q1 .Q2 .Qn be a countable collection of non-empty sets in the…

A: Given Q1,Q2, ..., Qn, .. be a countable collection of non-empty sets in the Euclidean space ℝn. such…

Q: 2). a). Show that the following ODE is not exact. Find the integrating factor to make it exact and…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to a +y +…

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Q: As part of your construction, illustrate how the triangle contains each of the following in a…

A: We will use the basic knowledge of Pascal's triangle and definitions of triangular numbers,…

Q: ifr = 8 sece then the cartesian equation is x^2+y^2=8 O x-8 O y=8 O Non of the above O…

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Q: Select all the real numbers M among the choices below such that the two planes given by r: -2 = 2 -2…

A: We have to select all the real numbers M among the choices given.

Q: It is a single outcome of an experiment. O event O probability O outcome

A: To identify the correct option from given question.

Q: dy すx +%=. Suix

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Q: f (1) = 3e" cosh (In 21) in two ways. -2t 7.

A: 7 Given function is ft=3e−2tcoshln2t. We have to find the Lft. Take Laplace transform of both sides…

Q: The number of bacteria B(t) in a petri dish culture after t hours is given by B(t) = 400e0.876t When…

A: Given that The number of bacteria B(t) in a petri dish culture after t hours is given  To find When…

Q: PLEASE ANSWER ALL QUESTIONS Consider the vector space V = C² with scalar multiplication over the…

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Q: Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X - f(x) = ½ e…

A: Given Lundberg's model for poison process with parameter is 1... Insurer loading is 15% Reinsurer…

Q: у" — у' — х %3 0

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Q: 4. Find the centroid of the region bounded by graphs of y = 4x – x², y = 2, and r = 0.

A: As per guidelines we experts are allowed to solve one problem at a time. Please reupload the fifth…

Q: d. Midpoint method. e. Ralston's method.

A: As per the question we are given a first order differential equation as : dy/dt = (1+4t)√y With…

Q: (D + D,)'u = 0

A: We have to solve given problems:

Q: Find the number of distinct regular tetrahedral dice that can be made by coloring its faces with…

A: The fundamental theorem of finite Abelian groups - " a finite Abelian group is isomorphic to a…

Q: (a) is spanned by the vectors 10 Determine whether the vector v = --()-- [] and or not. 8 (a)…

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Q: Explain the Importance of mode and range

A: In statistics, the mode is important for the following reasons: Reason 1: It lets us know which…

Q: 1.0 1,0 -8 for 0 <a <7, for 7 <x <8. Let f(x) Compute the Fourier cosine coefficients for f(x). Ao…

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Q: Q5: Solve using improved Euler method [y(0.1) to y(0.5)] the differential equation dy = xy + tan (x…

A: To find the solution of the given differential equation we will use the formula of improved Euler's…

Q: Find L(sin? at)

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Q: use two and three Points of Gaussian Guadrature xp = 1 %3D

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Q: h=0.001

A: Follow the steps.

Q: The value of a certain photocopying machine t years after it was purchased is defined by P(t) =…

A: Given that the value of photocopy machine after t years from purchase Pt=ie−0.25t And after 6 years…

Q: (D² – 3D + 2)y = e2*(1+e2x)

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Q: Let Gbe an open set in R". Two points x, Y e G are said to be equivalent if they can be joined by a…

A: Since every open subset of Rn can be written of countable union of disjoint open balls and each ball…

Q: Idx-3xy dy

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Q: 2. Find the general & particular solution of the DE, 4- 16 + 16y = 0 with the given that y(0) = 2…

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Q: Q3/ Use Gramers rule to solve the system of equations: 3x + y + 2z = 3 2x - 3y -z = -3 X +2y +z = 4

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Q: Obtain the general solution unless otherwise instructed 2. y" — у' — х %3D 0 SUMMARY OF ANSWERS 2.…

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Q: Find the complex conjugate eigenvalues and the corresponding eigenvectors of the matrix. 0 3 - 27 0…

A: Hence the answer is the option  B.

Q: se Gramers rule to 2z = 3 %3D

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Q: In (x + x²) dx

A: To evaluate the given integral.

Q: 4. Determinewether.he.series..Conv K.. CeJ Cn) -h .... . .. m. h4 .… ス

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Q: Q4/ Solve the differential equation a) xy. = 1+ x+y+ xy b) = V 1+ sinx(1+ y²) when y(0)=1 dx

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Q: A= 1. 3 4 -1 -1 4 2 0 1 -1 2 -1 3 2

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Q: The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected…

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