Find a positive integer n for which the equality holds = 1 2

Q: Solve the following system by using the Gauss elimination method. x- 2 y +3z = 9 -x + 3y = -4 %3D 2x…

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Q: 2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x…

A: Let us solve the given system using Gauss elimination and LU decomposition method in the next step.

Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + %3D n I N

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Q: Let f be a given function. A graphical interpretation of the 3-point central difference formula for…

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Q: What is the y-intercept of the equation y = −0.05t + 47? Explain what it means in the practical…

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

Q: B. Find the volume of the solid generated when the plane region bounded by 3. y = e-x and the x –…

A: 3)

Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .

Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: Q.8) The characteristic equation for y"" + y'+ y = 0, is: a) 2* = 22 Q.9) The form of the particular…

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Q: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: find The complete SoLution of The differentia eqution y+24'+4y=asX Subjected to The Condioin…

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Q: 2) The basis of the equation y"" + 2y" = 0 , are: h) 1.1.e-2x %3D 2x c) 1,x, e2x d) 1, x, e-2x

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Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

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Q: 5. The slope field for the system = 2r + by D. 2r – 2y is shown to the right. The eigenvalues of the…

A: This is a question from the Differential equation.

Q: Solve (5æ?y? – æy? + 17y?) dæ (x³y+ 2x?y + 9xy+ 18y) dy = 0

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Q: 4. Solve the initial-value problem dr = -2r - 2y dt dy -2r + y. dt where the initial condition is…

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Q: Q.15) The solution of y" + y' = 0 by using power series method, is: %D a) y(x) = ao + a, (1- x2 %3D…

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Q: When approximating f(x)dx using Romberg integration, RA4 gives an approximation of order: O(h10)…

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Q: Evaluate, the guen the upper pat from "(-1,0) to (1,0) and the parebalka y=x"-i, grom parobola (i,0)…

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Q: • 16. The area which is inside r r = 3-sino 5sin 0 and outside the limacon

A: According to rule of bartleby we can solve only the first question or three sub question of first…

Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: 1. Evaluate the given line integral, {-y,x – y) - dR, where C is the upper part of 22 + y? = 1 from…

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Q: c) yp (x) = A sin3x Q.10) The recurrence relation which obtained from solving y" +y = 0 by using…

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Q: 8. State the location of the x intercepts of the function y = sinx and the vertical asymptotes of…

A: this is an application of calculus.

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: Calculate a + d in degrees. [15 ±] 55° b°/d° a c° 123 O 146 O 136 O 204 O 191 O 68 O 123

A: Supplementary angle are those angle whose sum is 180° Sum of all the angle of triangle is 180° A…

Q: box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Hanissa…

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Q: QUESTION 9 What is the biconditional of the following conditional statement: "If two segments have…

A: Biconditional statements are those which have if and only if condition.    From the given statement,…

Q: 6. A sequence of numbers ro, 1, 2,. is such that xo =4 and, for each n 2 1, In = Kr-1 + 3, where K…

A: Given a sequence of numbers x0 , x1,x2,...........  is such that x0=4  and  for each n≥1,…

Q: The directrix of the parabola x? – 4 y = 0 is y =- 5 y = 0 Option 1 Option 2 y = 1 y =- 1 Option 3…

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Q: dz 2. Suppose z is a function of r and y and tan(VI+y) = e²*. Determine and %3D

A: Given: tanx+y=ez2 where z is a function of x and y. To determine partial derivatives ∂z∂x and ∂z∂y.

Q: az Let z = x? + y°, x = 2st, y = s - t, s = u", and t = u sin w. Compute for and %3D

A: Notice that z is a function of x and y; x and y both are functions of s and t ; s and t are…

Q: 3. C=Z+, (a*b) = ([max(a,b)]/8) + 3 %3D

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Q: 1. Evaluate the given line integral, |(-y,x – y) · dR, where C is the upper part of x² + y? = 1 from…

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Q: DO The point (1- V5,p) lies on the curve 10+2/5 y = Find the exact value of p, simplifying your…

A: We need to find the exact value of p given (1-5, p) lies on the curve y=10+25x2

Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? 1 902 1302 x2 The…

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Q: 3. Write an equation that can be used to model the graph shown below: 20t /2 2n/3 n/3 ST/6 10 20 10…

A: We can solve this using given information

Q: A restaurant serves a bowl of candies to their customers. The bowl of candies Gabriel receives has…

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Q: d²y + y = 4 cos x dx² Please solve this equation by hypothesis (V)

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Q: if it was Mzn (R) was =a,br Prove that MzmC to

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Q: Calculate the area of the region inside the circumference r = 3sinθ and outside r=2-sinθ

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Q: Determine the arc length of a circle with radius 5cm and angle 1.78 radians.

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Q: 1. Show that which of these relations on the set of all functions on Z→Z are equivalence relations?…

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Q: 4. Use Euler's method with a step size of h = 0.2 to approximate the solution to initial value…

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Q: 1. Evaluate the given line integral, | (x – y, y) · dR, where C is the left part of x² + y? = 1 from…

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Q: init – dimensional vector space over the field F, and let W be a subspace of V. - + dim Wº dim V.…

A: Direct sum of the subspaces

Q: Find the volume of the solid obtained by rotating about the y-axis the regioN bounded by y= 2x- x…

A: The given curves are y=2x2-x3 and x-axis. To find: the volume of the rotated region bounded by the…

Q: Which triple integral in cylindrical coordinates gives the volume of the solid bounded below by the…

A: Solution:-

Q: a) f(8) = -3 cos (e + ) + 2

A: This is a problem of Harmonic Motion.