The values of m for which y = ema is a solution of y" – 5y' + 6y = 0 are %3| a) 2 and 4 О b) —2 апd — 4 c) 2 and 3 d) 3 and 4

Q: D) If flx) = -x -11 ; find the following. 1) 4A-2) +5A(1) 2) 3f(5) × f(2) %3D A9) 3) -5(12) - 2f-9)…

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Q: In PCA, we obtain z E Rk from x E R" as follows: T z = u(1) y(2) u(k) Which of the following is a…

A: Given that,In PCA, we obtain z∈Rk from x∈Rn as follows:z=|u(1)| |u(2)| ...…

Q: 1 1 2 f(2x+2) = х 2х 3 f(4) = ? 14 - -3 4

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Q: Q3: If P(X= x) = a 8(x) + b 8(x + 1); then a + b = A) 0.5 B) 0.3 C) 0.4 D) 1 E) None

A: Given: P(X=x)=aδ(x)+bδ(x+1)

Q: Given i [- 4,4, – 4] and i [- 5,6, 2] find c. ủ x v

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Q: b) Compute Sc C 2z²+z+₁ dz, where Z² +4 iii) C = {z: \z+i)=2

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Q: 2. Solve a-2 0 for a. No solution O a = 2 O a = 0 O a = 8

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Q: 3. 1+-=. 1. х*— 13х2 + 36 %3D 0 2. ха — хе -2%3D 0 3 3. 2n 2 n2

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Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: Which of the following functions V(y₁, Y2) is a Lyapunov function for the dynamical system with…

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Q: 1 If y = itci e? and y(0) = -1 then 1+cq e¬* Select one: O a. 1+ c1 =-1 O b. C = -1 O c. 1+ C1 = 1 O…

A: Given  y = 1/(1+c1e-x) and y(0) = -1

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Q: 1) G T. 2) YSXA CAA AZA2 F K R E R

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Q: 17) A 10% acid solution was mixed with a 30% acid solution to produce a 15% acid solution. How much…

A: Mixture of solutions

Q: Solve each equation 1) V-2-n = V3n + 22 3) V9-8r = V1-4r + 2 %3D 5) 10 + V 60-6k = k %3D Solve each…

A: Solution

Q: 1 1 1 If A =0 -1 2 then At- 2A³ – A? + 21 = %3D 0 0 2 A) 2A B) 2(I– A) C) 2(I+A) D) 2(A – I)

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Q: 4 - If a product is sold with 30% profit x TL, if sold with 10% loss, y is TL. So what is 3 (2y /…

A: Given Data: Let C be the cost price x=1.3C y=0.9C

Q: If V = (x² + y² + z)² then - If V (x² + y² + z) % %3D 1) 0 2) 1 3) x² + y? + z² 4) 2

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Q: 15) Find SR 16) Find VW E R %23 -2x – 6 M %3 W N %23 2x – 14 x + 15 x+ 2 x+ 21 F V.

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Q: Find the general solution of xy + 6y = 6x, VD. 3x a) O y2 7 b) O y2 3x* +C 9x8 c) Oy = + C 49 d) Oy…

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Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: Find the general solution for: 2 x² d²y dx² -y=0 dy + x dx

A: Solution:Given differential equation: we have to solve the given differential equation

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

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Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

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Q: Find the form of yp to use in the method of undetermined coefficients y" -2y+3y=e³x + xex a.…

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Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

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Q: 7. Given Eu, = 3n(n+1)² find r=1 ii. The common term

A: The given partial sum is ∑r=1nUr=3nn+12. Let the nth partial sum be Sn=∑r=1nUr=3nn+12. Note that the…