1. Write the following permutations in cycle notation. (1bd from 5.4) (1 2 3 4 5 (1 2 3 4 5 4 3 2 5/ a) b) (² 4 2 5 1 3 1

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Q: the root lies between 2.625 and 2.75 is 2.6875. True False

A: To check roots lies between 2.625 and 2.75 is 2.6875. (True/False)

Q: [100] 1 [1 0 0 5. IfA = |0 a) Av B b) ΑΛΒ c) ΑΘΒ [1 1 1] o 1), find 0 1] 1 and B=Jo [1

A: Here given matrices A=100011100 and B=111001101

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Q: 3. A grain silo in the shape of a cylindrical building with a hemispherical dome roof is to be built…

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Q: Prove that sin x can be approximated by x − (x^3/6) within 0.01 on the interval [-1,1].

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Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 +1 for for TL…

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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

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Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

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Q: 13. Given a recurrence relation an = -an-1 + 6an-2, with a₁ = 3 and a₁ = 12. Find an explicit…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers. 7. y = c1e^2x + c2xe^2x

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Q: Consider the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y)…

A: Using midpoint rule volume will be equal to  V=A∑fa,bWhere A= Area of each rectanglea,b are centers…

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: 2 3 y' + ²y = ²y²; y(1) = 3

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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: 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: 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: . Evaluate (x² + y) dv G if G is the solid bounded by the parabolic cylinder z = y², xy-plane and…

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Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ +. 4 16

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

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Q: Q2/ Find the Max. values of z, which z= 6x+7y Use the conditional limits " x + y ≤ 4, 3x + 2.5 y ≤ 2

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Q: 1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) =…

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Q: Economics alfa (a) = 5, and beta (B) = 10 Q4. (a) Suppose a decrease in price from $100 to $5 causes…

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Q: Use a graphing calculator to find the solution to the given system. y = 3x + 6 3x + 1 y =

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Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

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Q: Q2/ A string fixed at both ends with a unity length subjected to the given condition. Solve the…

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Q: Q/Calculate the limit statement lim l है 7) X → -

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Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

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Q: 9. DETAILS ZILLDIFFEQMODAP11 2.4.015. Determine whether the given differential equation is exact. If…

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Q: Xn+1 = 1 converges to a solution of the equation x² + x- Xn 11 = 0, [2,3]. True O false

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: No. Date Evaluate fff dv G x² + y² where G is a solid that lies inside cylinder *+(4-2)² =4 obove…

A: we will use cylindrical co ordinate system to solve the given integral

Q: 8. Prove 1² +2²+3² + + n² = n(n+1)(2n+1) 6 is TRUE using mathematical induction

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Q: 6) 3x²y dx + (x² + y²) dy = 0 3

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