The number of flaws in metal sheets 100 cm by 150 cm is known to follow

Q: at is the force on

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Q: Using the Matrix Inversion Algorithm, find E-1, the inverse of the matrix E below. 0 0 0 5 0 0 10 0…

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Q: plication 12 e. 9 in Z29 under addition

A: Follow the steps.

Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z>1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z>1…

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Q: 9. (a) Use the method of Lagrange multipliers to determine the minimum and maximu values of f(x, y)…

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Q: Is 1/8 - 10 ( 3/4 - 3/8x ) equivalent to -1/8 (59 - 35x )

A: Equivalent expression  To check two expressions are equal means the coefficient of each term is same…

Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: Initially 56 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

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Q: Trapezoidal (Use n = 9) 5. 6. √² (5√x - ³) dx 3) (5ex-e)dx

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Q: r5 [² (2² 2. √2 (2x² – 3x) dx

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A: We will use chain rule of partial derivative  If F is a function of  two independent variables x and…

Q: L(sin 2t cos 2t) Your answer Find 2s+3 L-1 (₁² (5² +45+13)

A: We have , Fs = 2s + 3s2 + 4s + 13  We need to find Inverse Laplace Transform of  Fs. That is , L-1Fs…

Q: 1. Let G be any group. Show that the function f: GG defined by f(x) = x² is group homomorphism if…

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A: It is given that the rate of decomposition of radium is directly proportional to the quantity of…

Q: Table 8.2 Condition for s y = 1/s xy 1.00 x 10 4.00 x 10-² S₁ 3.13 x 10-² 9.77 x 10-¹ S₂ $3 45 2.22…

A: Given the data, to use linear regression to find the y intercept. Then to find the focal length…

Q: II. Find the determinants or prove the equations in the following. Properties of determinants or…

A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

A: Solution

Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: [3(cos 18° + i sin 18°). [2(cos 20° + i sin 20°)]³.

A: De Moivre's Theorem: cosθ+isinθn=cosnθ+isinnθ where n∈ℤ

Q: Evaluate the Riemann sum for f(x) = x3 + x2 − 6x + 2, taking the sample points to be right endpoints…

A: I have used formula for Riemann Sum

Q: 26. Which of the following ordered pair is a solution to the given inequality? Sy A. (0,0)

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Q: Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the…

A: Here we can use polar coordinates to find the volume. Using polar coordinates volume is given by…

Q: Let f(x)=√3x-2 on the interval volume of the resulting solid. 43x 135 83m 125 83x 135 43x -unit3…

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Q: (b) If P is the projection on ce M of a Hilbert space H th riant under an operator T

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Q: i s'ex eo e V². (-^x) dy dz -jz 00

A: Solution : a∧x.a∧x=1 ∫01∫01a∧x∈0e-jz.(-a∧x)dydz =-∈0∫01∫01e-jzdydz =-∈0∫01e-jzdz =-j∈0e-j-1

Q: Find 3²y of z = In(xy)

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Q: c) A student wishes to allocate her available study time of 60 hours per week between two subjects…

A: given, g1(t1)=20+20t1g2(t2)=-80+3t2 grade average = g1(t1)+g2(t2)2 setting lagrange…

Q: I. Fill in the blank. 1. The translation of Newton's Law into mathematical form is written as

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Problem 1 Find the Fourier transform of the given function. f(t) = 2A -t + A, 7sts ≤t≤ 0; T 2 2A T…

A: Fourier transform of a function ft with respect to t Fft=∫-∞∞ ft eist dt Where i is a complex unit…

Q: ? Exercise 15.2.3 The region bounded by the curves y = In z and y = e² in the interval [1, 2] is…

A: Area of region bounded by two curves y=fx (upper curve) and y=gx (lower curve) in the interval a≤x≤b…

Q: A contour map is shown for a function f on the square R = [0, 4] × [0, 4] 12 12 Use the Midpoint…

A: Solution:-

Q: inside a room with current temperature of 31 degrees Celsius, a left over Fried Chicken is removed…

A: Given that From a table inside a room with a current temperature of 31 degrees Celsius, a leftover…

Q: 3. Find a power series expansion about x = 0 for a general solution. Your answer should include a…

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Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

Q: 4. A 5-nC point charge is located at (-2,1,3) in free space. Find (a) E at the origin (b) E at point…

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Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: c. 7 in Z10 under multiplication

A: Solution

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = ex - cosx - 2 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: Find the Z Transform of given signal x(n) = n²u(n)

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Q: Question 34 Use the following diagram to answer the questions below. Price D Quantity Fill in the…

A: Look at graph and make observations about answer

Q: Find the Fourier transform of the given waveform. f(t) -2 -1 7 1 0 1 2 r(s)

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Q: Is xo is an ordinary point of the ODE? If so expand p Find a minimum value for the radius of…

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Q: d²y 5. Consider the differential equation dy 6- +9y = 9x + 3. dx dx² (a) Find the general solution.…

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Q: ƒ(x) = 3x4 +√4x; ƒ"(1.2) 6

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Q: Find a power series solution of y" + (1+x²)y = 0 13 a. ao(1-x². x6+)+a₁(x-x³1x5. 24 720 24 13 b.…

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Q: (D³ + 3D² + 3D + 2)y = 0

A:

Q: 4:15 Homework: 2. Application of Integration Page 1 of 8 Save and complete later Find the…

A: According to Simpson's 1/3 rd rule the integral of a function between the limits a and b is given by…

Q: For the function ƒ(x, y) = 4x³ + x² − 7, find the solution of the differential equation from x = 0…

A: We can solve this using mid point method