Prove that L (sin² x 2/3 ; p} = 1/ 108 р x (1²,5 + 4)

Q: 2 b. lf R = | | ² | and 5 = | 1 0 | find a number s 31 01 that R² = 2Rt cS a number c such C

A: Given : R = 1231  and   S = 1001. To find : A number c, such that  R2 = 2R+cS

Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: 9. If S and T are finite spanning sets for a vector space V, then S and I have the same number of…

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Q: Q5. Let T: R → Rm be a linear transformation. Suppose that there exists a map S: Rm → Rª with the…

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Q: Q3) the following force balances: 0= k(x2-x1) +m₁g-kx1 0 k(x3-x2) + m₂g-k(x2-x1) mg-k(x3-x2)-kx3 0…

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Q: 31² 10° 0≤t≤1000 hrs. A-What is the probability of failure within the 100-hour period? b- Find the…

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Q: 5. Kelsey invested $3500 at 8.6% simple interest for 188 days. How much does Kelsey have now after…

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Q: 2. By changing to cylindrical coordinates, evaluate 2 2π Stt. [²* * cos p² sin³ o dp do dô 0

A: To Evaluate: The integral ∫02π∫0π/4∫02/cosϕρ4sin3ϕ dρdϕdθ by converting it to cylindrical…

Q: dk+35+65+2= ds Si:-042 н Szl= -1577 XAp B7 в 2-час га

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Q: Solve the system graphically, and indicate whether the solution region is bounded or unbounded. Find…

A: Given system , 16x+13y≤1103x+4y≥20-4x+3y≤1

Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: At a price of $4.76 per pound, the supply for cherries is 16,289 pounds, and the demand is 10,377…

A: Given- At a price of $4.76 per pound, the supply for cherries is 16,289 pounds, and the demand is…

Q: Suppose that a person learns y items in x hours, as given by y = 50√√x, 0≤x≤9. Find the rate of…

A: Given that a person learns y items in x hours as given by y=50 x, for 0≤x≤9   To Find: The rate of…

Q: 3R- Q1/ The volume of liquid in spherical tank can be computed as V = πh²[³R-¹], If R = 6 m, what…

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Q: Compute the Frenet apparatus k, 7, T, N and B of the following curve a(s) = (1 - 12 √2 cos s, 3+ cos…

A: Given curve: α(s)=1-22coss,3+22coss, sins To find: k, t, T, N and B

Q: Use the Sales information above to answer this question. How many thingamabobs should Yaster Inc.…

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Q: 1. Find a solution of the system: x₁ = 2x₁x₂ x₂ = -x² x₁ (0) = x₂(0) = 0

A: 1.The given system of differential equation is                          x'1=2x1x2x'2=-x12 where…

Q: 3. The linear operator T: R³ R³ is defined by T(x1, x2, x3) = (W1₁, W2, W3), where w₁ = 2x₁ + 4x2 +…

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Q: 5 and evaluate the determinant of the matrix A. -2 7 d -b -C a to find its inverse. If the matrix is…

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Q: Find the Laplace of the f(t)in the figure f(1) ► 5 2 t a. b. 0 1 5 (1-2e-s+e-²s) (1-es + e-25) e.…

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Q: *x puld K 11x +4 。011

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Q: Consider an experiment that involves rolling a fair ten-sided die multiple times. Assume that (i)…

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Q: Sales of a particular product have been declining continuously at a rate of 8% each year. a. Express…

A: Given- Sales of a particular product have been declining continuously at a rate of 8% each year. To…

Q: 5. Let c ER and suppose f, g: R → R are functions such that limc f(x) exists, and for some > 0,…

A: Given :  f,g : ℝ→ℝ are functions such that limx→cf(x) exists and for ε>0,  g(x)≤f(x) whenever…

Q: which of the following is a binary operation if a and b are in S

A: To find:  Which of the given is a binary operation if a and b are in S

Q: Solve the Recurrence Relation Xk+2 +4Xk+1+3Xk = 3K where x = 0, x₁ = 1

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Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by (E+ x,…

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Q: a) Find a 2 × 2 matrix A such that (−4, 0) and (−2, −4) are eigenvectors of A corresponding…

A: Let M be a n×n matrix, then we say that λ is an eigenvalue of M if there exists a vector v such that…

Q: Q)Find the relation error use the trapezoid rule to approximate the definite integral. Use n=4,…

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Q: 1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace…

A: By definition of linear span we know that The linear span of a set S of vectors is the smallest…

Q: Solve the system of equations: x-y+8z = -107 6x + 2 = 17 3y - 52 = 89 The sum of the solution to…

A: The given system of equation is  x-y+8z=-107         (1)6x+z=17               (2)3y-5z=89…

Q: f(n) ic recursive formula tic explicit formula ric explicit formula

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Q: Determine the general solution of the given differential equation that is valid in any interval not…

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Q: 1. a) Find the Maclaurin series for f(x) = e-2. 2240 SPRA b) Use the expansion to estimate e-0.2…

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Q: Consider an experiment that involves rolling a fair seven-sided die once and assume that the…

A: The die is fair seven sided. So, the total outcomes is 7. Now, 1, 2 are the numbers less than 3. So,…

Q: 2. By using Gauss-Seidel method, solve the following system of equations 6x + 3y + 12z = 35 8x - 3y…

A: 2. Given system of equation are 6x+3y+12z=35, 8x-3y+2z=20, 4x+11y-z=33   To Solve using Gauss-Siedel…

Q: Q3) the following force balances: 0 = k(x2-x1) +m₁g - kx1 0= k(x3 -x2) + m₂g-k(x2-x1) 0= mag-k(x3 -…

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Q: Z{(2k

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Q: ii) Un = 7Un-1 + 1 with U = 1

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Q: Exercise Set 1.6 In Exercises 1-8, solve the system by inverting the coefficient matrix and using…

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Q: The point x = 0 is a regular singular point of the given differential equation. Find the recursive…

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Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

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Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Write a triple integral, including limits of integration, that gives the volume between z+y-…

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: A is a 3x3 matrix, X and B are 3x1 matrices; AX = B. Solve for matrix X. Show at least three steps,…

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Q: Question 19 Fourier analysis of the instantaneous value of a waveform can be represented by: y =…

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Q: 9. Find the inverse of(A= [(e +ex) (e-ex) 10. Find the inverse of cos [-s - sin (A) (e- e-x)] (e* +…

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Q: (b) Consider the information given above. If the thirteen-sided die was fair (unbiased), then how…

A: Given that dice has 13 face and dice was fair.

Q: Solve the system of equation using Naive Gauss Elimination with partial pivoting. TO 2 5 21 2 1 1 22…

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Q: Q3/ The following table gives the viscosity of oil as a function of temperature. Use Newton's…

A: Newton's divided difference formula for n points can be defined as:…