Calculate the middle rectangle approximation of , Vxdx using five subintervals. O M5 = 0.624 M5 = 1.177 M5 = 1.219 M5 = 1.260

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Q: 5. (i) Let 7 be a permutation on {1,2,.,n}. The matrix Pr for which pi. = e-(i)• is called the…

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Q: 4). Let T: R4 → Rª be a linear transformation defined by T(x, y, z, w) = (x+z+w, -3x+3y+tz+w,…

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Q: Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) =…

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Q: Q3/ Use Gramers rule to solve the system of equations: 3x + y + 2z = 3 2x - 3y -z = -3 X +2y +z = 4

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Q: (c) Let M be the surface with the equation r³ +y³ +z = 9 that is above the right triangular region…

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Q: 1. (D² – 2D – 3)y= 64xe³x

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Q: Let E Os 0s n, 0s zs 1, 8Vzs rS 8. Compute

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Q: Consider the function g defined by 1 g(x, y) : = cos (Ta V) + log3 (x – y) Do as indicated. 1.…

A: Given data function g defined by  gx,y=cosπxy+1log3x-y find that (1)∂2g∂y∂x=? (2) The instantaneous…

Q: Prove that l17 is the only prime number of the form n²- 64.|

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Q: Work Problems Question 1. :) Find the intersection of the (a) (* paraboloids z=2+x²+y? and z=1+ 2r?+…

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Q: fined the genral solution 8) (D + D,)u = o

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Q: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

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Q: SOLVE TOTAL DIFF.. EQUATION. (x+2)²dy + y² (dx+dz) =0

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Q: (b) The following table shows the velocity v(cm/s) t(s) of an object at time 1 3 4 6 7 rlcm /s) 0…

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Q: a) Consider the set S= {t+1, +t, t+1). Detrmine whether p(t) 312-5t+3 belongs to span S. b)…

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Q: Exercise 6.1.13. Let G = (a) be a cyclic group of order n, H a group and h e H an element such that…

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Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from x = -1 to x = 5, first using 6…

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Q: Summing Series (numeric summation): Tylor Series: x2 x3 x4 M -1- x+ e-X = 2! 3! ..... 4! 5! n=0…

A: We have to find the exact exponent and sum of series upto that terms.

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (13/x) on the…

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. xdx+ydy=(x2+y2)dx

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Q: = {lu v w]T = 0} 4. Find an orthonormal basis for the subspace S : u + v = 0 and u – 2w of R".

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Q: use triple integral to find the volume inside x2+y2=4x, above z =0, and below x2+y2=4z

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A: Newton's Raphson Method:- Hence Positive root of given equation by NRM is 0.88244

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Q: se Gramers rule to 2z = 3 %3D

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Q: Let V be the space spanned byf1 = sin x and f 2 = cos x. (a) Show that gi = 2sin x + cos x and g2 =…

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Q: calculations/solutions

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: Solve the following problem over the interval from x = 0 to 1using a step size of 0.25 where y(0) =…

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