1. Determine the optimal value and whether the optimal value is the maximum or minimum? a) z = 4x2 – 2xy+ y² b) z = 2x – 5x² – 2xy – 3y² + 3y - -

Q: By using Laplace transform to solve y" –y – 2y = 4 with y (0) = 1 and y (0) = 4 , what would the par...

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Q: Use the difference an+1 – An to show that the sequence - {n – 9"} | Sn=1 is strictly increasing or s...

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Q: Using Fixed-Point Iteration with an initial value of 0, find a value of the root with a relative app...

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Q: (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the ro...

A: Solution: Objective:       Minimize T. Step 2: Select the modeling approach. We will model this pro...

Q: Let - (y dx – x dy) W = (x² + y²)ª be a one-form on U =R² \ {(0,0)}, and o : V → U be the smooth fun...

A: Given: Let us consider the given, ω=2x2+y24ydx-xdy be a one-form on U=ℝ2\0,0 and ϕ:V→U and the smoot...

Q: Let a, b, c, d e R with a < b and c < d. Show that [a, b) is homeo- morphic to (c, d].

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Q: Which of the following differential equations can be solved by separation of variables? A) sin 2y dx...

A: A Given differential equation ex2sin2ydx−3x−1cos2ydy=0......1. Simplify the equation 1 ⇒ex2sin2ydx=3...

Q: Question 3 What is L1 2 s+1 equal to? s+3 -3€ O 2e 4e-31 Oe +e3F 2e 2e-" O 2e t+ 4e-3 O none of the ...

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Q: Advanced Math Question

A: Consider the given graph. Given points are X9,−4 and Y−1,2. We have to find the diantance from point...

Q: Use Newton Raphson method to approximate the root of the function: f(x)= x³ - 2x -3 at xo = 1 What i...

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Q: What is the Cover problem in Integer linear optimization?

A: This is a problem of Integer Programming.

Q: in integrating the function f(3x + 5)(cosar using integration by parts, what would be your du?

A: Solution

Q: In integrating the function fx' In Sx dx using integration by parts, what would you choose for your ...

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Q: Write the first five terms of the sequence, give the exact answer: n n +1 [ n=1 Determine whether th...

A: Let us consider a sequence ann=0∞  then a1, a2,...... are the terms if the sequence  The limit of th...

Q: Let S = {(1,1), (1, 2), (2, 1), (3, 2), (3,3)}. Consider the polytope conv(S). Write this set as {r ...

A: The given set is S=1,1,1,2,2,1,3,2,3,3. We know that the polytope:  ConvS=λ11,1+λ21,2+λ32,1+λ43,2+λ5...

Q: rove: The completeness axiom implies that every nonempty set of real numbers hich is bounded below h...

A: We can solve using definition

Q: If w =-i, determine all the roots of Vw. 2

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Q: 3 If w =-i, determine all the roots of Vw. 2 5

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Q: (x2 +y²)dx + xy dy = 0 r.

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Q: A college student works in both the school cafeteria and library. She works no more than 13 hours pe...

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Q: A(if both statements are true), B(if the 1st statement is true but the 2nd is false), C(if the 1st s...

A: We have to check whether the given both statement are true or false. Definition of order of PDE:- Th...

Q: verify that y=x/x+4 and y=x-4/x are inverses of each other using inverse function property.

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Q: Q (3). In a dynamical system, given a system of linear differential equations as: x;'= 3x; +3x, - 6e...

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Q: The value of ffR (1+ 2y)dA, where Ris triangular region with vertices (0,0), (5,0) and (5,5) is Sele...

A: We have to evaluate the double integral ∬ 1+2y dydx over the region R, where R is the triangular reg...

Q: Which of the following differential equations can be solved by separation of variables? A (1+2y)dx –...

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Q: Let A be the point with coordinates (1, -3, 3), let B be the point with coordinates (3, -1, -3), let...

A: We will use equation of plane r⇀.n⇀=a⇀.n⇀ Where a→ is a point on the plane and n⇀ is perpendicular t...

Q: An investment opportunity promises to pay off an amount of P1,000,000 seven years from now if one in...

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Q: E Find the derivatives of y with respect to x: a) y = xex - ex b) y = e(4x+;) c) y = e*(sin x + cos ...

A: we have to find the derivative of following function with respect to y (a) given y=xex-ex differenti...

Q: F2016 =p°q*r°, find the values of a, b and c. -3 1 Given that Vp3

A: Here we have to find the values of a, b and c.

Q: Knowing that 198 is not a term in the Fibonacci Sequence, what Fibonacci term (number) is the closes...

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Q: True/False: The function f(r, y) = xy + + 4 has a saddle point at (2,1). O True O False

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: ゴ( 4 d?w Which of the following characterizes the differential equation d?w +v=0? dv3 dv? (A 4th ord...

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Q: Q3. Use Newton's method and find an approximation for the root of the following function accurate to...

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Q: For the functions z = f(x, y), x = g(t) and y = h(t), if g(1) = 3, h(1) = 2, g'(1) = –1, h'(1) = 2, ...

A: To find- For the functions z = fx, y, x = gt and y = ht, if g1 = 3, h1 = 2, g'1 = -1, h'1 = 2, fxP3,...

Q: T1(t) x2(t) a Suppose x'(t) = Ax(t) where A = , а, b, с, d € R and z(t) — Use the d 0, definition of...

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Q: 3) Consider stress of a body at a particular point is give in the form of Q(x1, x2, X3) = xỉ – x – 4...

A: Given: Qx1,x2,x3=x12-x32-4x1x2+4x2x3   To find: An orthogonal change of variables that eliminates th...

Q: Which of the following is an exact DE? A none of the given choices B) csc (x²+1) y' – xcosy dy=0 3ln...

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Q: Determine the solution of an initial value problem; 2e°cos2x dx+ (e'sin2x + 3y sec²y²) dy=0, =0 4 A ...

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Q: (a) S' = {z = a + bi e C|a, b € R, |2| = a² + b² = 1} is a subgroup of C*. (b) SO2(R) = {| cos e - s...

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Q: Using integration by parts, evaluate x³ In 5x dx

A: Solution

Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y" +y...

A: Given differential equation is y''+y'+54y=1-u(t-π);y(0)=1,y(0)'=-1 - Taking Laplace transform of the...

Q: If we make a list of any four consecutive Fibonacci numbers, twice the third number minus the fourth...

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Q: 1 Considered the area of a trapezoid is 50 sqm and the height is described by a number. Bases are de...

A: We can solve this by calculating first area then apply bisection method to calculate roots

Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y/" +...

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Q: sin(2 – 3i) cos(3 – 2i)

A: Sin(2-3i)= 9.15449915 + 4.16890696 i And cos(3-2i)= -3.7245455 + 0.51182257 i

Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: a) et+y dA ‚Where D = {(x, y) ||| + \y| 0, y 2 0, a2 + y? < 1. 1+ x2 + y?

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Q: Determine the solution of an initial value problem; 2e'cos2r dx + (e'sin2r+3y sec?y²) dy=0_y 0= (A 2...

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Q: An analyst obtained the following data for the percent compound Z in triplicates (n=3) of an insecti...

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