If is a non-negative measüráble functic sa real number then Sa fx)dx = 1 Sf(x)dx E %3D

Q: Given an area of circle of 96 inches squared, determine its given radius by using the initial…

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Q: Find the maximum and minimum values of the function f(x, y, z) = x²y² z? subject to the constraint…

A: For the solution of the problem follow the next steps.

Q: Verify the Divergence Theorem in the calculation of the flux of the vector field: through the…

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Q: The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base…

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Q: Seth's parents gave him $5000 to invest for his 16th birthday. He is considering two investment…

A: Given: Initial amount=$5000 Option A interest =4.5% compounded annually. Option B interest =4.6 %…

Q: 0.5 coS X dxp. Using the Riemann sum (at the midpoints) with n=8, approximate the value of the…

A: We have to find approximate value of given definite integral Using Riemann Sum(at the Midpoint).

Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: dv 18, 000 – 0. 150? dt 3000 – 6t and solve this numerically using Euler's method in MATLAB with the…

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Q: 1 j³ + 2 j=-0

A: Given that  ∑j=-∞∞1j3+1 consider the related integral ∑j=-∞∞1j3+1=∫Cdzz3+1 where the contour C. As…

Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: Solution :-

Q: 1. F = (A'+B)C 2. F= A'B'C' 3. F= A'B+ AC 4. F= AC+ A'BC + A'BC' 5. F = AB' + A'B

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Q: 1. Answer the following question when X.X...X is a random sample from N(u.o). |(a) Find the integral…

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Q: please. 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis. 2. Find…

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then…

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Q: Find the point of intersection of the line through (1, -3, 1) and (3, -8, 4), and the plane given by…

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Q: Find the cosine transform fe(w) of f(x) for f (x) = -6 if 0 2. f.(w) %3D

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Q: Proposition 81 For each integer n, n2 - 3n +9 is odd.

A: for each integer given function will be always odd

Q: (2) Prove that Q(V2) and Q(V3) are not isomorphic as fields.

A: The complete solutions are given below

Q: S: R² → R², S(x,y)= (2x + Y,x – 3y) , T: R? → R², T (x, y) = (x – yY, x + y).

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: Let us consider the differential equation Mdx+Ndy=0 Determine the partial derivative ∂M∂y,∂N∂x The…

Q: Continuity. Find out, and give reason, whether f(z) is continuous at z = 0 if f(0) = 0 and for z #0…

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Q: A company manufactures two types of cloth, using three different colours of wool. One yard length of…

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Q: 2y dy +ニ=xy2sinx dx

A: Here we use reverse derivative.

Q: Q. 24. A.man standing on the deck of a ship, which is 10 m above the water level, observes the angle…

A: let the height of the bill AB is h  m and  C be the position of the ship such that DB = 10 m

Q: Compute ten convergent iterations using Jacobi and Gauss-Seidel method for the following sy stem of…

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Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…

A: To maximize the function f(x, y)  subject to the constraints  g(x,y)=C Determine the Lagrangian…

Q: Let X and X' denote a single set in the two topologies T and T', respectively. Let i : X' → X be the…

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Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: The point (2, 7/4, T/3) is given in spherical coordinates. Plot the point and find its rectangular…

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Q: EULER DIAGRAM. Determine if the following arguments are valid or invalid.   8. Some squirrels fly.…

A: (8) Any argument is valid if and only if every possible Euler diagram depicts the argument's…

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

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Q: State which property of determinants is illustrated in this equation. 8 -7 16 6. 16 6. 2 - 8 -7 7 4…

A: Here, you can see that first and second row is interchanged.

Q: Question 4 Find the solution. , dy x2 - y²=2xy dx A 2x B y : © y = y = x3

A: Given:x2dydx - y2 =2xy

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

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Q: A function f(x) passes through the points (15.24). (18,37), and (22.25). Use the Lagrange Formula to…

A: The formula to find Lagrange interpolating polynomial is Lx=∑j=0nyj∏i=0,i≠jnX-xixj-xi. The formula…

Q: The principalP is borrowed at a simple interest rate r for a period of time t. Find the loan's…

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Q: Example 2. A pharmaceutical company manufactures three type of medicines A, B and C. The processing…

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Q: Solve for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

A: Solution

Q: (3x²+ 2y²)dx + 2xydy=0

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Q: A (플) n (2프) %3D Cos dt?

A: This is the problem of differential equation.

Q: 4. Solve system of linear equations AX = B, using in- verse matrix A- Write clean, and clear. Show…

A: Convert the given system of equations into the matrix form. 1252394717xyz=114 Use the elementary row…

Q: Q2: Find the Eulerian Circuit in the following weighted graph starting at the vertex 'a'

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Q: Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

A: We need to evaluate Legendre symbol , 55179 We know that , Quadratic reciprocity law ,  If p and q…

Q: x"(t)– 3x'(t)– y' (f)+ 2 y(t)= 14t + 3 x'(t)– 3x(t)+ y'(1)= 1 x (0) = 0 x'(0) =0 y (0) = 6.5 -…

A: For the solution of the problem follow the next steps.

Q: Brent Pickett borrowed $7000 from his brother Dave. He agreed to repay the money at the end of 5…

A: It is given that Brent borrowed $7000 from his brother Dave. He will repay the borrowed money at the…

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.

Q: 4.43. xe" dx + (y-1)dy 0; y(0)=0

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: A. Find the coefficients of the following derivative f" = G-1fi-1+ Cfi+ C+f1 %3D

A: Here we use finite difference method to find this.

Q: Q1: There is a factory working to produce two pump types (X, Y), by using four parts ( A, B, C, and…

A: