MaxZ=2x+ Бег біћ 49 +8X2 532 5x -7х2 -rxo+bxo. 2x1 Zuxclix واجب

Q: defined for positive numbers and attair

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Q: c) Σ=1(−1)nn3 3η

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Q: Find the absolute maximum and minimum values of the following function on the specified region R.…

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Q: (a)) Let a₁, b₁, a2, b2 € N. Prove the following: If a₁ +b₁√√/2 = a₂ +₂√√/2, then a₁ = ₂ and b₁ =…

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Q: Let f: RR be a function which satisfies f(x) x f(y) = f(xy) (1

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Q: Using the definitions of limit and/or infinite limit, show that if limn→∞ sn = ∞, then also limn→∞…

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Q: 2. Let the sequence (n) be recursively defined by x₁ = 1 and n+1 (a) Prove by induction that 1 ≤ n <…

A: 2.  Let the sequence xn be recursively defined by x1 :=1 and  xn+1 :=xn2+65 for all n∈ℕ. (a) We have…

Q: During a family gathering last Chinese New Year, Hoi Nam was able to collect 12 monetary bills…

A: Let x be the P 1000 bill y be the P 500 bill and z be the 200 bill 1000x+500y+200z=6300…

Q: मेर 1- then without using integration show that / (x) + / (a) = ✓ (x√₁ − a² + a√1-x²). If f(x) is a…

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Q: Find an orthogonal matrix P that diagonalizes matrix A. 1 0 1 0 1 0 1 0 1 Also, find the diagonal…

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Q: that Problem 3. Find the analytic function f(z) = u(x, y) + iv(x, y), given ƒ(2) ===-₁1-2d²-ƒ(0).…

A: The objective is to evaluate the analytic function fz=ux,y+ivx,y, given that vx,y=x+y-3. Since f is…

Q: (a) Is the polynomial 1 + 2x − xª¹ € Z₁[x] irreducible over Z₁? Justify your answer.

A: If 1+2x-x4 be a factored as gxhx, where both gx and hx are polynomial of lower degree, then one of…

Q: x Let W [[[ λ (3,0,-1) 3x dV (0,0,8) (0,3,8) (0,0,-1) (0,3,-1) Y

A: W=∭λ3xdV     =∫03∫03-x∫-18-x23xdzdydx    =3∫03∫03-xxz-18-x2dydx    =3∫03∫03-xx8-x2+1dydx…

Q: A marble is selected at random from a jar containing 6 red marbles, 2 yellow marbles, and 3 green…

A: Red marbles (R)=6 Yellow marbles (Y)=2 Green marbles (G)=3 Total marbles in the jar (N) =6+2+3=11

Q: Find the Laplace transform of the following functi a t-5/2 b.) t5/2 sinh 4t

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: Use the Newton Raphson Method to find the solutions of the equation correct to 3 decimal places by…

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Q: 37. Optimal garden A rectangular flower garden with an area of 30 m2 is surrounded by a grass border…

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Q: (c) Show that if is continuously differentiable in a given region V and on its boundary S, then.…

A: (c)  Consider the vector    F=ϕa    where a is any constant vector…

Q: 3. Let f(x, y, z) = xyz, g(s, t) = (3s + st, s, t), and F(s, t) = (fog)(s, t). Evaluate DF(s, t)…

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Q: (a) Let U = 3i -j- 4k and V = -2i+4j-3k. Show that U. V is commutative but U x V is not. (b) For any…

A: ( a) U=3i-j-4kV=-2i+4j-3kU·V=3i-j-4k·-2i+4j-3k        =-6-4+12         =2V·U=-2i+4j-3k·3i-j-4k…

Q: 6. Let X and Y be subsets of {a,b}. Write the relation where X is related to Y if |X| = |Y| as a set…

A: Let  A={a ,b }  Cardinality of A=2 so the cardinality of power set is 2^2 =4 Now power set of A is…

Q: Show that if is continuously differentiable in a given region V and on its boundary S, then Lods =…

A: Consider the function f=ϕa  where ϕ is scalar function and a is a constant function .…

Q: Identify the type of reasoning employed in the following arguments as INDUCTIVE or DEDUCTIVE. 1.…

A: Inductive reasoning means to arrive at a general statement from specific observations. Deductive…

Q: A new car tends to depreciate in value more quickly during the first couple of years a at a more…

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Q: Which one of the following is an equation of the line through points P(1,-1, 2, 1) and Q(3, 1,…

A: We have to find an equation of the line passing through points P(1,-1,2,1) and Q((3,1,1,-1)

Q: Find the Moments (My) for the lamina that occupies the region D and has the given "Density" function…

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Q: a) Verify Green's theorem in the plane for f(3x² - 8y²) dx + (4y - 6xy) dy, where C is the boundary…

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Q: A man is moving away from a tow high at a rate of 2 m/s. If the eye l man is 1.6 m above the ground,…

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Q: Given the vector field F(x,y,z) = (y²,2xy-e²¹) and the path C given by r(t) = cos(t)i + sin(t)];…

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Q: Verify Green's theorem in the plane for fe(3a²-8y2) da +(4y - 6ay) dy, where C is the boundary of…

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: 22 Q.4 Using the matrix: X = 2 4, Calculate: 2 6 M=(I₂ −X(X¹X) ¹X¹) and show that M is a symmetric…

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Q: Which of the following integrals are improper? (Select all that apply.) 1 L' dx 9x - 1 Sz 1 2x - 1 S…

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Q: (d) Let f(x, y) = 2x² + xy-y². Prove that the directional derivative of f(x, y) at point x = (3,-2)…

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Q: 1. Obtain the general solution by the indicated technique: 1.1 adß+Bda+aß(da+dß)=0 separation of…

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Q: Prove that if lim f(x) is of the form X4x g(x) Write a 8- & proof. then lim f(x) g(x) X1x -0. =

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Q: Must

A: As per our guidelines only first three subparts are solved. To get remaining solution kindly…

Q: 2. A tank is initially filled with 100 L of salt solution with a concentration of 0.12 kg/L. At time…

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Q: Consider the function f(x) = x-[x]--, if x # I 9 where 0, if xEI [.] denotes the fractional integral…

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Q: Find the volume generated by revolving the region bounded by the given curves about the x-axis. Use…

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Q: Write the converse, inverse and contrapositive forms of the given statement: The student will join…

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Q: n 1. Verify that |Σ=1 Zk| ≤ Σk=1|²k|. Hint: Prove by induction.

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Q: (b) Assume that F(x, y, z)= ei+zej + (z + 1)ek is a vector field defined on a smooth curve C given…

A: This is the question from the vector calculus.

Q: Approximate ff(y-x²+2) dA for R= [0, 2] × [0, 3] using n = 4 subintervals in th R x-direction and m=…

A: Introduction: A basic calculus strategy is to start by providing an approximation for a given issue,…

Q: Determine whether the function described by the ff equations is one-to-one. 1. f(x) = -5x - 10…

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Q: You buy a house for $100,000.  The APR is 8.25%, and your payoff period is 360 months.  What is your…

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Q: Write the domain and range of the function using interval notation. Domain: Range: 0 Σ y 1 --2- Show…

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Q: Complete the truth table for the given statement: (p vrq) v p. rq руга (pvq) p 1 1 0 0 q 1 0 1 0 г…

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Q: 4. Determine whether each of the following sets is a subspace of the vector space P4 (R) of polyno-…

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Q: 1. How long will it take to triple the sum of money invested at 12% compounded quarterly?

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Q: Bsinh lan da bs dx C√x 0 using the first four terms of the series if a = 2, b = 10, c = 6, k = 0.63,…

A: We know  sinhx=x+x33!+x55!+x77!+... ∫0kbsinhaxncxdx=∫0kbaxn+axn33!+axn55!+axn77!cxdx…