Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

Q: Find given the generan rolwbon Of ODE the dy

A: To find The general solution of the given ODE.

Q: Fit a straight line y = ax +b to the following data 3 8. y 3. 21 4.

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Q: Consider the function g defined by 1 g(x, y) cos (Tx/y) + loga (x – y)

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y) To find: The value of ∂2g∂y∂x. As per the policy…

Q: A' D A C' E b В H a

A: Consider △ABC and △HEC,

Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: 3. у") - бу' () - 2у(t) %3 4 сos 2t- 4t3; у (0) — — 2,у'(0) — 3 4 cos 2t - 4t3; У (0) — — 2, у'(0) —…

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Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

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Q: Solve by finding series solutions about x=0: (x - 3)y" + 2y' + y = 0 |

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Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because 1=1•1•1 or 1^3 8=2•2•2 or…

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Q: IF R= 5B-2C find the value of the following R10 13 W16 11 14 17 r32 #12 15 18

A: To find the elements of the given matrices :-

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: We can solve this using given information

Q: If A and C are nonempty classes, prove that AC B and C C D if and only if AxC C BxD.

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Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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Q: Prove whether diverges and state which the following reries converges you or theore test use to…

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Q: (ii) If Y = e*² error in Y at x = 2, if the error in x = 0.002. = et" + 3x + 4x, find the percentage…

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Q: If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine E· G - (|F|^2)

A: Given that  E=2ax+ay-3azF=ay-azG=3ax+5ay+7az

Q: A contour map for a function f is shown. 16 of 12 Use the contour map to estimate the sign of the…

A: To find sign of fx , fy we need to check f is increasing or decreasing when we change x by keeping y…

Q: Let A = Consider the discrete dynamical system x+1 = Axg. If xo = what is x,? Enter it into x_2.…

A: Given discrete dynamical system is xi+1=Axi where matrix A is A=320073

Q: sam deposits 150 in a savings account and earns 6% compounded monthly will she have enough savings…

A: Follow the steps.

Q: The 12th roots of a complex number would have arguments that differ from each other by __?__…

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Q: 7. Prove that the graphs G & H are isomorphic. 1 3 a 5 2 H

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Q: Let Rn be the group of rotations of a regular pentagon, and let r be counterclockwise rotation by…

A: Given that Rn be the group of rotations of a regular pentagon and r be the angle rotation by 2πn. To…

Q: For f(x) = x – 2 and ao = 0, bo Apply the bisection method and calculate b2 (right endpoint after 2…

A: We have to continue the bisection method upto second iteration. Then we have to find b2.

Q: [B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ +…

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Q: Find the curvature of the curve 7 (t) = (4t, – 3t, – t) at the point t = 2. Give your answer to 2…

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Q: 2х + бу 3D 16 Solve —3х — 9у %3D — 24 by Gauss-Jordan method а. (5, 1) b. (9t – 24, t) с. (16— 6t,…

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Q: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: Task: We need to create some example problems about the area of the region bounded by different…

Q: Describe the graph of the equation. r = 16costi + 6 sintj – k O It is an ellipse in the x = -1…

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Q: 3. u., = u, - sin x cos t, 1> 0 >r >0 В.С.: и(0, г) %3D 0, 1.C.: u(x, 0) = 0, u,(x. 0) = 0 %3D

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Q: let R3 have the Euclidean inner product and use the Gram-Schmidt process to transform the basis…

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Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Consider the given surface, y=x2+z2 Distance of the point 0,c,0 to the surface will be,…

Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

A: Follow the python script.

Q: Determine convergence or divergence of the alternating series. 25) E (-1)n+1n+ /n n = 1 n2 + 1 8.

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Q: Find the values of x does the power series converge? п! n=0

A: Given:                          The power series ∑n=0∞xnn!

Q: Solve the differential equation Ut Uz(0, t) Uz(2, t) Jo 0<r<1 x 1<x < 2 u(x, 0) You do not have to…

A: Given one dimensional heat equation ∂u∂t=5∂2u∂x2 Given conditions ux0,t=0, ux2,t=0 and ux,0=0…

Q: 5) f(t) = f(t) = e¯2t/1+ sin2t

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Q: A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine…

A: We will find arc length and use it to parametrize the curve

Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Newton's Divided difference Method :- putting the value of Id in given table then  Current I at…

Q: Find the Fourier series for: f(x) = -1, if – n<x< 0 if 0 <x < n

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Q: [3 Given: A = Find A-'B [1 а. 1/21 |2 -3/2] 2 C. |1/2 -3/2] -1 -2/3] d. 6/5 2 -1 b. \-2/5 6/5]

A: Solution

Q: 10. From a partially destroyed lab data, following results Lines of regression are: were retrieved:…

A: Solution:

Q: Explain how to find the least squares solution to the system below by economy SVD. Xi + x2 = 4 2x1 +…

A: Let us start solving problem step by step using singular value decomposition method....

Q: Which of the following direction field will represent the differential equation y' = x + y Option 1…

A: Given:  y' = x+y

Q: H.W p.564/ use Trapezoidal method and Simpsons" 1) Jo Jitx? dx n = 4 2) S e** dx n = 4 3) . V1 + x3…

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Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series

Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: x³ + x – 1 ;dx J x(x – 1)(x + 5)²

A: Here i have applied all the required formulas. No other formula is required to solve it.

Q: x + y+ 5z = 0 Solve 2х — у +z %3D 0 а. (4, 6, -2) b. (-2t, 0, t) - с. (-2t, -3t, t) d. No Answer

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Q: Differentiate Зх — 6 - y = csc 5x2 + 9

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Q: Determine whether the function f : R → R given by f (x) = 4x + 6 is a bijective function.

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