1. (VP-2) Use variation of parameters to find the general solution to the following equation: y" + 3y + 2y = cos(e)

Q: (6x^(2) + 3y^(2)) dx + (6xy + 6y^2)dy = 0

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Q: an Find an equation of the plane cons isting 619 of all points that are equidistant from A (4-9, 9)…

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Q: Compute the following. 6! 0! Xx

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Q: 6. Prove that f(x)=√x is continuous for all x ≥ 0.

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Q: If {v1, v2, . . . , vn} is a linearly dependent set of vectors, prove thatone of these vectors is a…

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Q: (a) Show that the Euler-Lagrange equation gives no constraint on the function .x(r). (b) Give a…

A: The given extremal functional is I[x]=∫0πcosx(t)x˙(t)dt. (a) To Show: The Euler-Lagrange equation…

Q: Evaluate the integral by reversing the order of integration. Colé 0 -2 √y sin(y²) dydx

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Q: Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a…

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Q: 4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: ß= {₁, 2, e3} and a = (e) If…

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Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,044 yd of fencing with which to…

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Q: 2. (VP-3) Use variation of parameters to find the general solution to the following equation: y" + y…

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Q: The population of a town increased from 3500 in 2007 to 5100 in 2012. Find the absolute and relative…

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Q: On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8…

A: Let WWE spots be x1 and American Dad spots be x2. Max Z =   3.8 x1 + 1.5 x2 (in billions)…

Q: Find the distance from the point Q = (4, -3,5) to the plane - 2x-3y + 2z=6 □

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Q: Question 2: Find fz, fy, f, as well as faz fyys faz frys fzz, and fy: of the function 1 3x+2y-z f(x,…

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Q: Define the vector space analog of group homomorphism and ringhomomorphism. Such a mapping is called…

A: Suppose, V and W are two vector spaces over field F.

Q: Solve ď²y dx² 3 + y = secºx.

A: d2ydx2+y=sec3x The C.F of the differential equation is c1sinx+c2cosx Now finding the particular…

Q: Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5…

A: A) It is given that vector A  has a magnitude of 2.5 ms at a direction of 18° and vector B has a…

Q: For converting floating point decimal numbers to binary, what are the stopping conditions for the…

A: ANSWER TO QUESTION NO.1 :- THE ANSWER TO THE QUSTION NO.6 IS OPTION F "All of these" The explantion…

Q: 1. (LI-3) Consider the following nonhomogeneous equation: x²y" - 2xy' + 2y = 4x². We can find one…

A: We use reduction of order to find other solution and then we find particular solution.

Q: Use two of the three coordinate systems we covered to setup (but do not evaluate) a triple integral…

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Q: X = rsin(a) a 3r 4 Determine the angle a for which î By hand, determine the form of the equation to…

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Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form. 83…

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Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

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Q: Write down the 3 by 3 matrix that has aij = 2i - 3j. This matrix has a32 = 0, but elimination still…

A: Given,               aij=2i-3j, and a32=0.

Q: Due to a severe drought,a population of kangaroo is decreasing at a rate of 3.5% per year.…

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Q: Find the least squares regression quadratic polynomial for the data points. (Let x be the…

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Q: If random variable X has the density function f(x)= e, -∞ <* < 0. 1 Show that M(t) = - 2 -1 < t < 1.

A: Definition of Moment is given below and conditions for that integral to exist(give a finite value)…

Q: carina is playing a game that costs $10 to play. what is the expected value of this game, taking…

A: Total expectation E(x)=$10 Costa of game to play=$10 Win=$10-$10=$0.

Q: What is the base if the portion is $4580 and the rate is 65%

A: Given portion is $4580 Rate is 65% We know  Portion=…

Q: Q/Solve the differential equation by seperable 1) dy=(y + 9x) dx 2) dx 3) dx - 1 1+ y² dy = 0 y + 9x…

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Q: 6. Subtract: a) 5 Reduce to lowest terms b) c) d) 15 6 10 2 3 2 4 15 -

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Q: The revenue from the sale of a commercial vechicles is given by R = 62500x + 50000 (12 + 3x)-¹ -…

A: We will use application of differentiation.

Q: Let F = Q(π3). Find a basis for F(π) over F.

A: It is given that,  F = ℚπ3. We have to find a basis for Fπ over F. We know that π is a…

Q: Composite 3/8 Simpson Method N-1 N-2 3 I(f) Δοξάτο Στ h] fi + 3 Σ fitfiti fi ] + fN+1 i=2,5,8,...…

A: f=@(x)exp(x)./(1+x);                            %Defining the function, for example fx=exx+1 is…

Q: Question 4: For what value of the constant a is the function f(x, t) = -√2 exp(-1/²) solution of the…

A: fx,t=1te-x2atfx=1te-x2atddx-x2at    =-2xatte-x2atfxx=-2atte-x2at-2xatte-x2atddx-x2at…

Q: Question 3: Consider the following functions: are they continuous at the origin (0, 0)? 2x f(x, y) =…

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Q: Find the least squares regression line for the data points. (Let x be the independent variable and y…

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Q: xy² R x² + 1 Round your answer to four decimal places. Find • dA, R= [0, 4] × [ - 2, 2]

A: We need to evaluate the integral: ∬Rxy2x2+1dA in the domain: R=0, 4×-2, 2. Use the provided limit to…

Q: Create a function where you need to use both and quotient rule and chain rule in to take the…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: If A₁, A, E and P(A) = P₁, P(A)= P₂, show that P(A₁4₂)≥ 1- P₁ - P₂. (Hint: Use DeMorgan's Law (44₂)…

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Q: Write an exponential function f(x) that goes through the points (2,3) and (4,5). Round the…

A: Consider the exponential function  fx=abx  ---------- (1) Assume that the above exponential curve…

Q: X 210 4 82 0 2 2 8 D 24 a=f(x) = 2x² + 3 510 2 Y V 5 35 11 b = f(x) = 2 (x-3) ² X 5 4 3 2 C=F(x) =…

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Q: Locate all of the KKT points for the following problem. Con show that these points are local you…

A: Let us consider that, A=a1,a2,a3……,amn, where A∈Rm×n then there exist a constant b=b1,b2,……,bn, such…

Q: 3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and…

A: Given the equation is v=V0e-tτ

Q: Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i.…

A: Suppose the sequences sn ,tn are bounded then, (i) To Show: The sequence sn+tn is also bounded. (ii)…

Q: There are 130 students in the ski club. 50 of the students are boys. In simplest form, write the…

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Q: Find the eigenvalues of A, given that A and its eigenvectors are ₁ = V3 = 0 - V₂ = 4 -12 9 0 0 -2…

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Q: Assume that the rate of decay of a radioactive substance is proportional to the amount of the…

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Q: (1 point) Use a graph below of f(x) = ln(8x² + 1) to estimate the x-values of any critical points…

A: a) To find the inflexion point either by graph or derivatives, we will end up having the same…