III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e

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

Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

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Q: 2) Let R= {(1,2), (3,4), (1,x)) in order to this relation NOT be a function x must be equal ? a) 1…

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Q: xample 8.19. Use Romberg's method to compute ax correct to 4 decimal places. 2 0 1 + x²

A: Solution :-

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5 5x¹y…

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Q: 1. Compute u + v and u-2v where u = -5 and v = T 2

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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Q: 5. Write the solution set of the given homogeneous system in parametric vector form. X1 2x2 2x3 +…

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Q: Consider the following. u = ,    v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: 7. The final value for the function [ f(s) = (75s+84)/(15s²+ 21s)] is:- a. 5 b. 28/5 c. 25/7 d. 4

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

Q: 3x+4y-2z+ cos6x+9 exp(x)=-9 5x+2y+z=-3 x-y+5z=-11

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Q: 3- A discrete topological space (X,T) is: a-To-space, b-T₁-space, c- T₂-space, d- No one.

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Q: Seven line segments with lengths no greater than 15 cm and no shorter thatn 3 cm are given. That 3…

A: Solution:By the triangular inequality theorem, a side of a triangle must be less than the sum of the…

Q: 1. Let z, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

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Q: (B) Find all maximal ideals of (Z8, +8,8).

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Q: 3. Solve for the Z-Transforms and ROCs of: x[n] = [6, -2,2,0,0,4, -3]

A: We have to solve the given problem.

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Q: Problem nas Find ypt y" - 4y +4y урт 9.5e²+ = +² +1

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Q: ; Let x, y ER" be given. (a) lf ||x|| = ||y|| = 1 and x - y = 1, show that x = y. (b) If ||x|| ≤ 1…

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Q: 7. Determine the period of each function: a) y sin- n²,7 x b) y = cos 2(x-45") c) y = cos(x +90°)…

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Q: b) The following graph is k-colourable(f), find the value of k?

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Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a)…

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Q: . The given family of functions is the general solution of the differential ec licated interval.…

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Q: B. Give an example for a function which is a pointwise convergent but not uniform convergent. (Prove…

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Q: 1. Solve the system. 3x1 + 2x2 = 4 = 3 3x1 + 6x2 2x3 = -4 2. Find the elementary row operation that…

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Q: ■ Example 8.21. Using Euler-Maclaurin formula, find the value of log 2 from d

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Q: Given a second order differential equation d²x dx - 3 + 2x = 2e³t dt² dt dx where t = 0, x = 5 and…

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Q: Consider the surface S given by: S : r(u, v) = (uv, u² + v³, 3v²), u = [0, 2], v = [0, ³/] whose…

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Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: Use Simpson's 1/3rd rule to find -0.6 dx by taking seven ordinates. (nr

A: Here, we need to use simpson's 1/3rd rule and need to take seven ordinates. so h=0.1

Q: Just wondering where you got the 4! from in the first line of the total number of ways: i.e. 7! / 3!…

A: The 4! in the first line is obtained as shown below.

Q: 1. Compute u + v and u-2v where u = 2 -5 and v= 1 2

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 1/3 y = x¹, x = 0, y = 1; about y = 2

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Q: Fill in the missing values below one at a time to find the dividend when 8x³ +26x² + x - 30 is…

A: Find the missing entries when dividing the polynomial 8x3+26x2+x-30 by 2x+3.

Q: The universal relation A x A on A is an equivalence relation anti-symmetric a partial ordering…

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Q: Kindly help me solve the following problems. Show details and illustrations. A cable is to be run…

A: Given: d=9002+x2 To find: Distance