Let z z'y- zy?, z = e ",y = e", then which of the following is ? 3012 O a. 2e- 2e 24 O b.0 Oc-2e-2e 24 Od. 2e + 2e 24 Oe 2e 20 2e

Q: 3tan z sec? x dr 2.

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A: This is integral by substitution. As given in the hint we can substitute u=t2 to solve the given…

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A: given x+iy13=a+ib

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Q: 2 - If A and X then - 11 5 7 А.Х —

A: From the given problem:   A=-20-115 ; X=-17   Now,   A.X=-20-115.-17

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

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Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

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Q: 6. Evaluate dx

A: Introduction :

Q: ede 02 and A= a3 then %3D Suppose e Oba, -0 Oca, -1 Od a--4

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Q: Then using Euler's method, the approximation of the solution at t=0.2, that is, y(0.2)=0.9 Select…

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Q: Evaluate. .8 [ x - 2)dx

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Q: 2. What is the simplest form of 5¹ 2017 OA. 4n² OB. 4n7 OC. ² ODE

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Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

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Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: 5. Simplify the following expression: a-°y!4z7 (æyz)* yll -9,,14 xy222 -8 y8 29 7,7 x'y z11 O…

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Q: x = 36, y= -8 and z = 2. Evaluate each of the following and simplify your answer.      a)…

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Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: -1 1 Then, ||A||2 = 1 -2 Let A= Select one: a. 9+45 O b. 7+45 2 8+/45 2 d. 10+45

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Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

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Q: 3. |(10w vw) dw Your answer

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Q: Fill in each matrix for diagonalization of the matrix A - A = PDP-¹ - 5 Ex: 5 2 1 1 6 2 112₂2 -2 -10…

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Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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Q: –1 1 Then, ||A||1= 1 -2 Let A = Select one: а. 3 b. 1 С. 2 d. 4

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Q: Li (e" – 1) dæ r3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1. If y² = 10x, then A. C. 1 5 2xy 1 2x d²y dx² = Əx Jx 24 dly 2x2 = 5 2ху 3150 5x B.) - 5 2y D.…

A: We have given function  y2=10x Differentiating with respect to x 2ydydx=10ddxx 2ydydx=10 ydydx=102=5…