Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when divided by 4 and 7 respectively? (Show your work)

Q: the solution of the system? Select the correct cho The unique solution to the system is (Type an

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Q: Find General Solutions for the following Differential Equations (Use Differential Operators). (D² -…

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Q: Q3:A. Determine the following function U is harmonic or not X y U = 3 + cos sin os sin B.Verify that…

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Q: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -TAX<O 0 <x<*

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Q: ☛ F(x, y, z) = yi + xj + z´kis a vectorial field a) Calculate the flow through the solid formed by…

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Q: Q2: Find the double integration f (4x + 2)dydx D = {(x,y):0<x<2,x<y<2x}

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Q: Q/calculate limit statement lim 1-sinx X→ 1/1/20 X2502-1

A: It is not a limit questions we don't have check a+ and a- limit we have to put directly limit

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

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Q: 5. Find the z-coordinate of the centre of mass for solid G where G is the solid in the first octant…

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Q: Find the z-coordinate of the centre of mass for solid G where G is the solid in the first octant…

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Q: 2355 cm3 b. 4165 cm3

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Q: Q4:A. Find vector field of { (1, 0), (1, 1), (1, -1), (-1, 0), (-1, -1)} For transformation f(x, y)…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

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Q: s) The given curve is rotated about the x-axis. Find the are √2x +3,0 ≤ x ≤ 6. of the resulting…

A: Introduction: The formula for the surface of revolution of the curve is given by,…

Q: Given A= 45 1 1 0 4 6 1 and B= 3 -1 2 3 2 4 -1 2 160 2, find 3B AT

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Q: 4. At x = 4, the function f(x) = {x², x 54 is A. continuous but not differentiable B. differentiable…

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Q: 5. In a computation with Euler's method, the following results are obtain- ed with various step…

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Q: B: Solve the following differential equation by Laplace: d²y dx² + 2x + 5y = e-¹ sint dx ,y(0) = 0,…

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Q: Find the smallest positive integer solution for the given system. x= 37 (mod 52) x=14(mod41) You…

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Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D H U₁AU = D.

A: Unitary matrix: U#U=UU#=I

Q: Find the Fourier series to represent the function f(x) given by: -1 for - 1<x T f(x) = 0 for +1 for…

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Q: Let DC R² and f: D→ R. Suppose that fi (partial derivative of f with respect to the 1st coordinate)…

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Q: If f(x) = xe* — 1 and the interval [0, 1] by using newton's method then x₂: =****** a) 0.571020 b)…

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Q: Solve the following by first fully factoring using the factor theorem: 2x4+13x3+19x2-10x-24=0 a)…

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: 1) Solve the problem. 1) A water tank is shaped like an inverted cone with height 18 m and base…

A: Please see the attachment

Q: Find an explicit solution of the given initial-value problem. 1 √1-y² dx √1-x² dy = 0, y(0) = = y =

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Q: Find an explicit solution of the given initial-value problem. 2 dy dx = y - xy, y(-1) = -3 y =

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Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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Q: Use the formula for the binomial series: (1 + x)" = = to obtain the Maclaurin series for (k + 7)! 1…

A: Please see the attachment  4th option is correct

Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

A: Given f(z) = excos(y) + i exsin(y) Here Real Part is excos(y) and Imaginary Part is exsin(y) We know…

Q: 2. Let f(x) be a continuous function. If f'(x) > 0 for x>c and f'(x) <0 for x <c then what type of…

A: 2. Given f(x) is a continuous function. If f'(x) &gt;0 for x&gt;c and f'(x)&lt;0 for x&lt;c, then…

Q: Let a, b, c, and m be positive integers. (a) Prove that the linear congruence ax = c (mod m) has…

A: Solution:a) Consider the congruenceax≡c(mod m) ---(1)Let the congruence equation (1) has a…

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Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

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Q: x^3 - 1,2x^2 - 8,19x + 13,23 = 0 has a double root close to 2. Determine the root of this function…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1. Using Gauss-Elimination method and Gauss Jordan method, solve the system: 3.15x1.96y +3.85z =…

A: Gauss elimination

Q: Let f(x) be a function representing how many people in a certain city are “x” years old. a.…

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Q: © Evaluate 3 JL voz Hf (nzy) dv kabriod if G is the solid bounded the solid bounded by the parabolic…

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Q: 2. [K&U/5] for the relations f(x)=√x and g(x) a) 2f(1)-3g(4) = 2(x + 2), determine the following b)…

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Q: Find the sloution of the given DE dy y-x dx y + x = Yexact y (0) = 1, h = 0.1 at x = 0.5 2 ? (find…

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Q: Three cubes of metal whose edges are 3, 4 and 5 cm respectively, are melted without any loss of…

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Q: Q2: The line width of for semiconductor manufacturing is assumed to be normally distributed with a…

A: Please see the attachment

Q: If 2x³ - 4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then |x5-x4] < €, X4 = 1.36603, x5 = 1.366024, is the…

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