Question 11 Solve the differential equation. y' + y tan x = cos x A y=x sin x+c sin x (B) y=x cos x + c cos x y=x sin x + c cos x Dy=x cos x + c sin x

Q: Explain the Initial Value Problems in homogeneous linear system?

A: To Explain: The Initial Value Problems in the homogeneous linear system.

Q: J(2cot 2x² - 2e²) dx A. 3⁄cot 2x³ + 2e² + C B./cot 2x³ - 2e³ + C C. 2 cot 2x³ - 2e²+ C 2 D. /cot 3x³…

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Q: f'(x) = = = = lim h→0 = lim f(x + h) = f(x) h→0 h - h lim h→0 . Ax + Ah - Ax > h lim h→0 h h…

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Q: Question 14 If a, b>0 the second degree polynomial P₂(x) =4+ 6(x− a) + (x− b) (x − 2) is determined…

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Q: 2. Find the DE of all circles with center on thex - axis.

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Q: So 1 x²+7x+10 dx

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Q: QI complet the table: X f(x) 0.5 LOW= 1 2.71828 LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-Y2) L₂(X) =…

A: Given: Q1. A table below: x 0 0.5 1 1.5 1.75 f(x) 0   2.71828   4.75460 To complete: The…

Q: vector form, where A is row equivalent to the given matrix. 3 -3 7 1 -2 -9 5 1-4 5 0 1 2 -6 7. 9. [6…

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Q: 1. Determine whether each of the given points below is a solution of the linear system x1 + 6x2 +…

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Q: (b) For the two cases below, circle the case where the length of the cross product between the…

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Q: answer ixed point method, which of the the correct alas. Стоого -Хи 3 cau use toget the equuntion…

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Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

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Q: Le the Kirchott's 100 150 106 -182 -68 68 matra I 82 -82 -168 Find the eigenvectors and eigenvalues…

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Q: E Valuate by Beat function: 1 = 5 +²²1 dx 1+x4

A: Given : I=∫0∞xa-11+x4dx Evaluate the given integral by beta function .

Q: A payday loan is made for five weeks, where the amount of interest owed per $⁢100 borrowed is $⁢20.…

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Q: $25,000 is invested for 9 months at an annual simple interest rate of 2%. (a) How much interest will…

A: Given that $25000 is invested for 9 months at an annual simple interest rate of 2%.

Q: Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n = (n + 2)(n+3)(n…

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Q: Use the tables to find the z transforms of the following g. e-2n cos3n h. ensin2n i. 4n

A: The Z-transform of a discrete-time signal xn is defined as…

Q: Le the Kirchoft's 100 150 100 -182 -68 68 matra I 82 -82 -168 Find the eigenvectors and eigenvalues…

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Q: 4. Solve the initial value problem. (a) x' = 1 t+8' x(1) = 0 (b) dy = 4e-2x, dx (c) x' = tsin t²,…

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Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: QI complet the table: X f(x) С 0.5 2.71828 1.5 - 1.75 5.75460

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: find the following limits if exist:- limx-0 1-cosx x sinx

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Q: Identify the coefficient of x5 in the Binomial Theorem expansion of (2x - 5)12 . Group of answer…

A: We have to find the coefficient of x5 in the Binomial theorem expansion of 2x-512 .

Q: Consider the following autonomous first-order differential equation. =yIn(y + 2) Find the critical…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: Prove. Suppose that L and M are regular languages on a set A. Then L ∩ M is also regular.

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Q: if f(x) = x²√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: Find theAB, if A= [_¹₁₁ A. AB= -1 15 4 -10 B. AB= C. AB= D. AB= -4 4 15] 10 151 10 -1 151 -4 10. 31…

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Q: Find the amount (in $) of interest and the maturity value of the loans. Use the formula  MV = P + I…

A: Given that Principal value $145000 Interest rate 1512% , i.e., r=15.5% Time 5 months  i.e., 512…

Q: 2. Find the minimal polynomial of A, and find a basis of generalized eigenvectors of Aj.

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Q: 1. Use the tables to find the z transforms of the following m. cos(n+/2) n. (-2) o. -(2)

A: To find- Use the tables to find the z transforms of the following m. cosnπ2 n. -2n o. -2n…

Q: 23. What is the value of lim h→0 (A) 0 (B) (C) (D) 1 1 32 1 (16+h)-2 h

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Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

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Q: $10,000 is invested for 3 months at an annual simple interest rate of 3%. (a) How much interest will…

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Q: What is the order of the differential equation x²dy/dx-2xy = 0? A) 2 B) 0 C) 1 D) 3

A: Order of the differential equation

Q: Prove that: B (x+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) =ХГ (X)

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Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

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Q: Can Taylor's theorem with Landau symbol (Corollary 4.19) be applied to the function f: R → R, f(x) =…

A: To find- Can Taylor's Theorem with landau symbol (Corollary 4.19) be applied to the function f : ℝ →…

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A: Given differential equation is dydx=24-x2 Point :- 2, π Slope Field:-

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Q: 3) If the bisection method is used to solve the equation 3x² = e* in [3.5,4] then the value of c3 is…

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Q: For the given Laplace transform find the convergence domain and correspondent in time domain a=30,…

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Q: E Valuate by Beat function: 1 = 5 1²-1 dx 1+X4 Hint : Bix,y) = ] __*-! 2/44 ans: (1+tjxty Sin Ta dt

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Q: (y² - xy) dx + x² dy 10

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