4. A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first quadrant of maximum area. Find the maximum area.

Q: aluating line integrals previously taught. What happens?

A: Sol

Q: -(b (b A c)) V (~b V c) → a

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Q: Let L be the linear transformation from R2 R? which is a reflection in the horizontal axis followed…

A: Sol

Q: d²x dx + 2 * + 5x = e-t sin t; dt [ = x(0) = 0 x'(0) = 1 %3D dt2

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Q: 6 9| Find the determinant of 12 7 4 1 3 | 3 191

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Q: Consider the following model: price = Bo + Bilotsize + B2sqr ft + u Assume that the error variance…

A: The given model is  price =β0+β1 lotsize +β2 sqrft +u. The given error variance is…

Q: Consider the function f(r) = 7r- 8z + 4. Find the solution of the equation f(r) = 0, within 10-,…

A: Given f(x)=7x3-8x+4, we have to find the solution of the equation f(x)=0 using: Newton's Method…

Q: Let S be the equivalence relation on {− 1, 0, 1} × {0, 1, 2, 3} defined by (a, b )S(c, d) if and…

A: Let A  = {-1,0,1}×{0,1,2,3}  i.e A=…

Q: 5. How much water must be added to 200 kg of concentrated orange juice with 65% solids to produce…

A: (5) it is known that mass of solids in concentrated orange juice mass %=mass of solidsmass of…

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Given W be a subspace spanned by the u's, We have to write y as the sum of a vector in W and a…

Q: Refer to the following theorem: If A is an mxn matrix with linearly independent columns, then A can…

A: Solution

Q: sinxcost ; 00 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x,…

A: Sol

Q: d?y dy Solve by D operator method dx2 20+y = x²e 3x.

A: Given differential equation is d2ydx2 - 2dydx + y = x2e3x

Q: Let W be the subspace spanned by Note that this basis is not orthogon Tind the orthogonal projection…

A: We have to find the orthogonal projection of into W.

Q: Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point…

A: Given,Statements are given in tabular form for a particular finite geometry. To check whether or not…

Q: 1. Solve by D operator method - 2y+y x²e3* d?y dy . dx2 Solve by method of variation of dx 2. d²y…

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

Q: Let -3 -9 A = -3 -8 1 Find an orthonormal basis of the image of A.

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Q: (b) Construct the harmonic conjugate of c with respect to a and b [Hint: use the dual of the…

A: Sol

Q: Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an…

A:

Q: Solve, 9 7 0 3 0 5 - 9 1 3 -8 5 3 -7 5 7 6 2 6 4 0 1 -1 9

A: We have to solve    753-7862  6101-19×-8 9 7   5 0 3   4 0 5-9 1 3.

Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

Q: The Laplace transform L{e^-t^2} exists (because it is exponential order), but without finding it…

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Q: G || 9) List any parallel edges in G. h) List any isolated vertices in G. 1) Find the degree of each…

A: (g) e8 and e10  are parallel and e5 and e6 are parallel edges.  (h) V7 is only isolated vertex.

Q: 4- 2+3x 2- 3x 5. Find a power series for f (x) Hint: First rewrite f(x) using partial fractions.…

A:

Q: Use the graph G below to answer the questions. V1 v2 ei e2 V3 V7 ез eii e6

A: If two vertices are connected by an edge, then the vertices are adjacent Therefore the vertices that…

Q: 3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F…

A: Given field : F=x2yi+2y3zj+3zk    surface S is r(r,θ)=(r cosθ)i+(r sinθ)j+rk    0≤r≤1,     0≤θ≤2π

Q: Q4) Find plane area inside polar function r 2 and outside polar function %3D r = -2sine in third…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: m An = {-: m e N}, ne N, where N are non-negative integers. What is lim inf An and lim sup A,? n-00

A: The given set is An=mn: m∈ℕ, n∈ℕ

Q: Find A the 3rd power of the adjacency matrix for G. Then answer the questions. V1 v2 es ei e2 e6 V3…

A:

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: (a) C1: r = 3cos(θ) and C2 : r= 1+cos(θ)For point of intersection , equating equation of circle and…

Q: (-1)" Fact: the series S: converges by virtue of the Alternating Series Test. n n=1 According to the…

A: Error estimation theorem is used

Q: 1. Solve by D operator method d?y - 2y+y x2e 3x dx2 dx Solve bu

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Q: Write the statement in words if: p: Firemen work hard. q: Firemen wear red suspenders 4) ~(q ⋁ p)

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Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

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Q: Exercise 94. Evaluate ſcF dr where F(x,y)= xi- yj and C is the line r(t) = (1 -1, t), 0<I<1. If a…

A: Vector field and conservative vector field

Q: Let a (> 1) be an irrational number. Show that the kth convergent of the simple continued fraction…

A:

Q: 1. Solve by D operator method dx2 d?y 20 +y = x²e3x dy dx

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Q: Given the popula 1950 to Year 1940 1960 1970 :066T 1980 1990 Population 132,165 in 203,302 226,542…

A: Given: Year Population 1940 132165 1950 151326 1960 179323 1970 203302 1980 226542…

Q: nd g = {(1, 2) , (2, 3), (3, 5), (4, 2) , (5, 1)}. /hich of the following ordered pairs does NOT…

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Q: Find the transfer function represented by d^2c(t) +5 dt^2 dc(t) 8- + 3c(t) = 2r(t) dt

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Q: QUESTION 4 Let V be a vector space of dimension 2n > 2 over R. (4.1) Show that a complex scalar…

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Q: sin x – e-* = 0, [0,1] %3D

A: the given equation is sinx- e-x=0  The given interval is [0,1] the formula for the false position…

Q: Find an equation of the plane. the plane that contains the line x = 2 + t, y = 3 - t, z = 5 - 3t and…

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Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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Q: Problem 2 Determine whether the series is absolutely convergent, conditionally convergent, or…

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Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Given that the column of Q were obtained by applying the Gram-Schmidt process to the columns of A.…

Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: 4) Find the eigenvalues and eigenvectors of the given matrix A = =

A: We have given a matrix , A = 5-29-6 First we will find Eigenvalues of matrix. For that , consider ,…

Q: parameter dx2 = e* sin x. Solve the Cauchy-Euler equation x2 dx dy + 4x 3. + 2y = e*. 4. Evaluate L…

A:

Q: equations, use phase flow, initial conditions, ndicate x and y nullclines and equilibria. (if…

A: Sol