How many inches long is the radius of a large circle that can fit inside a rectangle 18 inches and 12 inches wide?

Q: Determine the form of a particular solution for the differential equation. Do not solve. y"…

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Q: f L{f(t)} = y(s), then L{ƒ'(t)} = sy(s) + y(0) y(s) - y(0) s²y(s) sy(s) - y(0) خبار 2 الخيار رقم 1

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Q: The future value of the given annuity? Round to nearest cent

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Q: .. Evaluate. a) 2³ x 4² x 2-3 b) 81¹/4 - 81/3

A: Evaluation of numbers

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" +…

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Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

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Q: A. 1 B. 4 C. 6 D. 7

A: Given that 9+3629×4

Q: Writing Systems in Matrix Form. In each of Problems 1 through 8, state whether the given system is…

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Q: Use Laplace transforms to solve t + f(t) = f sinh(w)f(t-w)dw

A: Given equation is t+f(t)=∫0tsinh(w)f(t-w)dw Take Laplace transform on both sides.…

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: The properties that could be used to find laplace of (te-2t. +sint+cost)2U(t+6) for all t20.…

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Q: 1 2 (1-x) ³

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that f(x)=√6x-2? Note that (11) = 8. (Do…

A: The given function is  t(x) =6x-2  And we are asking to find (t-1)'(8) , to find this first we will…

Q: ( W + ) )² + (0-3679K - 1:3679 ) ( W + ₁) + 0-3679 +0-26421-0 -)

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Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + .2√x,…

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Q: dy 5. 5-√√x² - y² + y = x/

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Q: +1 * +7 و 2 {مد 2

A: We have to solve given problems;

Q: Find the distance from the point (2, 1,-1) to the line: x=2t, y = 1 + 2t, z = 2t.

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Q: 22 In the diagram below, BC-(10-x)units, AF B 19 x D

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

Q: (Q3) (a) Prove that if (an) and (bn) are sequences such that (an) converges and (an-bn) converges,…

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Q: (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3,…

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

Q: Radio stations in a certain country use a sequence of 4 or 5 letters as their station identification…

A: Given that their are 4 and 5  letters . And the ist letter is always X so according to given…

Q: For the space curve below, T = K= cost- sint 2001), -1- j. N= √2 Find the binormal vector B and…

A: We can find Binormal vector and torsion vector.

Q: Solve the given initial value problem using the method of Laplace transforms. y" + 4y' + 3y =…

A: Sol

Q: q(x)=−3(x+3)2 The function above satisfies the conditions for the Mean Value Theorem on the interval…

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Q: Use Runga-Kutta method of order four to approximate the solution of the initial- value problems and…

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Q: d³ y dx³ 2d²y dx² 1 3dy=0 dx

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Q: Solve the given initial value problem using the method of Laplace transforms. y" + 4y' + 3y =…

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Q: Find the volume of the solid bounded by a lune with an area of 36t. The given angle is 25°. C D Q..…

A: To Find: the volume of spherical wedge bounded by lune with an area of 36π, and an angle of 25°.

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

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Q: 1 0 2x² - 1 x- 3x + 15 dx

A: Numerical integrations such as Trapezoidal Rule, Simpson's 13 rule, Simpson's 38 rule etc. can be…

Q: Let F (x + e* siny)i + (x + eª cos y)j and the curve C: The right-hand loop of the lemniscate ² = a²…

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Q: Find the length of parametrized curve given by x(t)=12t^2−12t, y(t)=−4t^3+6t^2+9t where t goes…

A: Let us consider the parametrized curve x(t) and y(t)  The length of the curve is obtained as…

Q: (c) Consider the following integral I =ff (x + xy - xy — x² − y²) dA, - - D where D is a rectangle…

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Q: 5. determine the principal and related acute angle p(-12,-5) 5

A: Explanation of the answer is as follows

Q: Factorising quadratic polynomials using the factor theorem

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Q: Question 1. Prove that For all integers n. -n- 閱 = n 4

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Q: Using the Inverse Function Theorem, what is (-¹) (8) given that r(x)=√6x-2? Note that /(11) = 8. (Do…

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Q: find 1.c.m (108,64) pilers

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

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Q: II. Prove the following assertions using indirect proof. a. If x² is integer greater than zero, then…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex, 0…

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Q: 9. dz y+2xy®-3xy-2zy 2xZy2ry 2x4

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Q: Consider the given statement. If it is not spring, then we are not going swimming. For each…

A: We have to determine whether the statements are equivalent to the given equation, the negation of…

Q: 2. a) b) 100% Determine the equation of the line of intersection of planes 1 and 2. Express your…

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Q: 17. x' = -0.25x -0.75y+8, y' = 0.5x+y-11.5

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Q: Use a parameterization to find the flux The flux is (Type an exact answer, using x as needed. F-n de…

A: Given Field is F =xy i -z k then F = xy,  0,   -z cone  z = 6x2+y2,  0≤z≤6.

Q: 1. Jdb 2. S dt 3. - 8xdx 4. S 6x² dx

A: Explanation of the answer is as follows

Q: dz = 4y-7z 52-9

A: First we will show that the given first order differential equation is homogeneous then by using the…

Q: A company that manufactures and bottles apple juice uses a machine that automatically fills 32-ounce…

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