Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

Q: A tank contains 60 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min.…

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Q: Q3: Find bn in Fourier series for the signal shown in the figure below: Ал 06 06 15 49 Where x(t) =…

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Q: Continuous Uniform Distribution Normal Distribution Gamma and Exponential Distributions

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

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Q: is any linear map, then the foll Im f¹ = (Ker (f))º Ker (f¹) = (Im f)⁰ T0

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Q: 4x²y"+y=x³/2 sin x, y(x) = x¹/2

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Q: Exercise 4.27 Let A be a given matrix. Show that the following two state- ments are equivalent. (a)…

A: (a) Let us consider that A=Eijm×n for x≥0. then, Ax=Eijm×nx=Eij×xm×n≥0 it means, Eijm×n≥0A≥0 Now…

Q: The graph of f is given. Use it to graph the following functions. (a) y = f(2r). 0 (h) y = f(T). (c)…

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Q: Definition: If A, B = Matnxn (C), we say A and B are conjugate if there is an invertible matrix C…

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Q: Solve the parabola and show the

A: Given,          y2+2x+y-3=0

Q: Assessment 1. Directions: Complete the table below. If the given is a polynomial function, give the…

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Q: When eight (8) machines are running, the daily production can be completed in six (6) hours. If two…

A: Given that 8 machines are running, the daily production can be completed in 6 hours.

Q: Use graphical method to solve the equation y=5x²-x;y=5x-1

A: Here are given equations as y=5x2-x,y=5x-1

Q: Lft etc ezt coth 3t dt 2t 8

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^2 – 2D + 1)y = 0 ; when x = 0, y =…

A: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^2 – 2D + 1)y = 0 ; when x = 0, y =…

Q: the figure shown below, find the Moment of Inertia

A: Inertia

Q: fn is a prime number, then prove that Z/(n) is integral domain.

A: We have to prove that z/(n) is intregal domain when n is prime.

Q: Solve the initial value problem. Indicate the method used. L 4 y² + 4xy = @= 2²³² 1. e-2x² 2 y (0) =…

A: The solution is given as

Q: 4. Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…

A: We need to find one real root of  tanx=4x with initial guess x0=1.2 upto four decimal places using…

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^6 + 8D^4 + 16D^2)y = 0

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Q: 12) f)=sin(x) 0<x<1 Ans. 24 1 (₁ A 7 (1)(3) 1 -cos(2x) +- -cos(4x) (3)(5)

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Q: Use pascal's triangle to expand and write the simplified form of (3x + 1)4 and determine the…

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Q: The table shows the number of phones sold by a small cell phone provider in various years. Use a…

A: The general form of the equation is P(x) = ax3+bx2+cx+d

Q: Problem 2: ( Starting with the graph of y= e, find the equation of the graph that results from • (a)…

A: Given: y=ex To find: Equation of the graph results from (a) reflection about the line y=4 (b)…

Q: A solid has a base formed by y = cos(x), y = 0, x = 0, and x = , as shown below. Each cross-section…

A: To find the volume of the solid.

Q: . Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x +…

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Q: c spaces. Show that X x Y and Y

A: The sup-metric d1 on X×Y is defined as d1x1, y1, x2, y2=max dx1, x2, ey1, y2. Similarly, the…

Q: 4 X -2 3 = 6

A: To find The value of x.

Q: e or rope 18.25 meters long which he wants to cut into five pieces of equal length. What would be…

A: Introduction: Fractions are represented in mathematics as a numerical value that defines a portion…

Q: Answer

A: We find required amount.

Q: If A is a subset of a metric space X, then show that A = (x: each neighbourhood of x intersects A}

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Q: (b) Find an equation of the plane that contains the line x = 1 + t, y = 2-t, z = 4 - 3t and is…

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Q: Question 3 A group of 100 students estimated the mass, m (grams), of a seed. The cumulative…

A: Given a group of 100 students estimated the mass, m(grams), of a seed. The cumulative frequency…

Q: Find the root

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Q: Let A be a tridiagonal matrix (possib ite. Then the methods of Jacobi, Gauss-Seidel, here is a…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. 1 (D² + 3D + 2)y= sin ex

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Q: Given (-1,12) is the maximum point for a quadratic function f(x) = 4h-(2k+x)²,where h and k are…

A: Given quadratic function is fx=4h-2k+x2

Q: a. Complete the table for y = tan x, where x is an angle measure in radians. π TT TT TT TT X 07 0 2…

A: Let us consider the function y=tanx tanx=sinxcosx The function is symmetric about origin The…

Q: Show that for n ≥ 3, ô(n) is even.

A: We have from the definition of Euler ϕ function: ϕ(1)=1 and ϕ(2)=1 Now Let n ≥ 3

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: 8. Find the values of Σ 3 and j=2 ΣΩ 1-0 (2j + 1).

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Q: r every square matrix A = (a;;) € Μπ(C) η |4||, = sup ||Ax|t Σ = max Elai TEC ||z||1=1 π Alloo sup…

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Q: 2 1) (-2xy) dx + ( Sing-x²) dy

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

Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³0, 0≤0≤= 2 Write Answer In Simplest…

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Q: determine f given f' and a point which statify f. f'(X)= 4x3-3x2+2x (3,80)

A: To determine f given f' and a point which statify f.   f'(X)= 4x3-3x2+2x (3,80)

Q: Question 19 An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically…

A: Given: Let's take a look at the situation as it is, 6 on the major axisMinor axis is 4 till minor…

Q: Find the Laplace transform to the following function f(t)= u(t-2)te4t

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Q: 2. For each of the following power series determine the interval and radius of convergence. th (n!)2…

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