e5Ln x+4Lny-Ln z 2) 2Ln√x + 2Lne√z - 2Lne*

Q: 5. A cylindrical tank is full of water. If the radius and height, respectively, of the tank are 1m…

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Q: Let A = {1,2,3}, X = {1,3}, and R is a relation on A, such that R = {(x,y) | x<y^x, ye A} R"X =…

A: We have to solve given problems:

Q: Q7 A country has 100 billion dollars of currency in circulation, in paper bill form. Money passes…

A: To solve the linear differential equation.

Q: 3. (a) Show that the two surfaces S1 : z = xy and S2 : z =3x^2/4 - y^2 perpendicularly at the point…

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

Q: Find the first four nonzero terms of Maclaurin series for f(x) = e-x² and compare it to Find the…

A: Sol

Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, a² + y² = 4. ccc

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Q: by r+ 2y + 4z = 8 in the first

A: Given as, ∫∫∫G6z2dV

Q: Calculate the Cauchy principal value. COS V.P. Lx (acos #dz, (a > 0). -dx, (a²-x²)

A: We use sum of residues to find Cauchy principal value.

Q: Using five significant figures in the computations, determine d(sinx)/dx at x = 0.8 from a) the…

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Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: We have to find Radius of the can, Height of the can and Minimum cost.

Q: 2(3) (11) 1. If P(2) 1.3 +2.4= = 6 2. Prove that P(n) is true for all positive integers n. and P(5)…

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Q: 3. Evaluate Wo 62² dV where G is bounded by r + 2y + 4z = 8 in the first octant.

A: To Evaluate triple integration ∫∫∫G6z2dV we know that dV=dxdydz=dydzdx=dzdydx=dzdxdy=dydxdz=dxdzdy…

Q: 8. Solve the linear system Ax-b by x₁ + x₂-3x₂ = -1 -x₁ + 2x₂ = 1 x₁ - x₂ + x₂ = 2 a) finding the…

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Q: Q2: Iteration three of the root equation x³-x-1=0 belonging in the interval (1,2) using bisection…

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Q: Write equations of the lines through the given point parallel to and perpendicular to the given…

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Q: Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5…

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

Q: Given the f(x)=xln(x)+sin(x), find the area under the curve from x=2 to x=3 using:​ Riemann Sum.…

A: We can solve this using given information

Q: Compute the values of and at x = 2 given that 2 X 4 6 8 10 y(x) 0 12 4080 1284 248 9980 Use the…

A: Make Newton's forward difference table and then use the forward difference calculate the first,…

Q: Show that any subset of bounded set is bounded

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Q: Find the area A of the region that is bounded between the curve f(x) = -4 sin () and the curve g(x)…

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Q: 3. Evaluate III 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to find the given triple integration first we will find the limit according to order of…

Q: Find the upper triangular matrix of 6 15 55 A = 15 60 225 55 225 979

A: Consider the given matrix, A=61555156022555225979 here we need to find upper triangular matrix of…

Q: For the rectangular coordinates (0,2), (a) plot the point, and (b) give two pairs of polar…

A: To find the polar coordinates we shall use the following transformation                      x=r cos…

Q: 84. State four points where cos x = - infinite number of these points? H|2 Why is there an

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Q: n[(1-j)6/3] Find the principal value of In A) 2.08+4.71j B)-2.08-4.71j C) -2.08+4.71j D) 2.08-4.71j…

A: We will first evaluate (1-j)^(6/3) then find the principle value.

Q: A) function is defined by f(x) = {²1₂ ² if x20 if x<0 Evaluate f(0), f(1)and f(2) and sketch the…

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Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

A: Given  dθdt=-5.33×10-6θ+33-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 ……………(1) Initial…

Q: 33. Find the regions where sinx Sx. ( E :

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Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: 3. Prove that So 0 1 x + ex -dx = n=1 (−1)n−1(n − 1)! nn

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: y"-2xy=0 solve it by power series

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Q: Write

A: We use properties of matrices i.e. (AB)-1= B-1A-1

Q: a) Graph a polynomial function of degree 3 or higher that has at least FOUR of the following…

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Q: 84. State four points where cos.x = infinite number of these points? NIK 2 Why is there an

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Q: Question 9. (a) Prove that every element of Q/Z has finite order.

A: (a) To prove that every element of ℚℤ has finite order.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. T r(t) = 2…

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Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + y² = 4.

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Q: Iteration method anx-x-2=0

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: function Q1: For, 0< |z| < 1, evaluate the following integral where g is analytic g(5) g({) inside…

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Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

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Q: Show that an open subcover R is not compact by finding cover that does not have finite

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Q: Perform the operation and write the result in standard form. (3+√√61)(3-√√61)

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Q: show that the is not complete. set of all rational numbers

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Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: Solve using Gauss-Jordan elimination. 3x₁ + 12x₂ - 15x3 = 9 4x₁ + 16x2 - 20x3 = 12 Write the system…

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Q: 4. A parabolic plate, shown below, is submerged in water. 2 m k 3 m - If the top of the plate is 1m…

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Q: mathematics

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Q: . Find the equation of the tangent line corresponding to x = 1. (Hint: What y value does this point…

A: Given the equation x2-y3=0 To find the equation of the tangent line at x=1