For the recurrence relation:   a n = −3an−1 + 4an−2   The general solution is:   an=c1( ) + c2( )   Note: The only constants in front of these functions should be 1.   Given the initial conditions a0=−1 and a1= −4, solve for c1 and c2. The final solution is:   an=

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: Given functions, f(x), g(x), h(x), and j(x), calculate each operation and simplify, if possible. 1…

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Q: Select ALL of the following for which there exist nonzero constants which can be substituted into…

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Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to…

A: To find f(x)+g(x).

Q: Suppose f(x) = vx – 3 and g(x) = x² + 5. Which of the following is a formula for fo g)(x)? Suppose…

A: We will find out the required values.

Q: 22. Find the zeros off (x) = x³ – 4x² + x + 6

A: we have to find roots

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: If A = {x :xEN, x is a factor of 6} and B = {x eN :x is a factor of 8} then find (i) AUB, (ii) AПВ,…

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Q: Invert A and C by any method but without electronic assistance.  A is 2x2, and C is 3x3.   A =…

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Q: An electric circuit has two power sources. The voltage, V₁, provided by the first power source, at…

A:

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: If A = 2₁ 2 2 and B = -1 Find det(AB) 3

A:

Q: Find (2+j5) O 0.00934 - j0.265 O 0.0265 - j0.00934 O 0.00934 -j0.0265 0.265-j0.00934

A: Solution:-

Q: [2 -1 1T If A = 0 2 find A? li 11

A:

Q: 『ー (+レー2)". v(0) - 2

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Q: Use Cramer's Rule to solve for x, in the system: -x, - 4x, +x, =-5 3x, +x, - 2x, =-13 2x, – 2x, +x,…

A: Concept:

Q: What is the solution set for x+1/x(x+2)?

A:

Q: If f(x) = x and g(x) = 10 – 3x, then the value of f(5) + g(5) is - O-5 O 125 360 120 -130

A: The given functions are fx=x3  and  gx=10-3x.

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: Z = (1 + i)(2-1)-¹, find |Z|.

A:

Q: Which of the following shows the graph of y-cot -3m/2 -If -1/2 -1/2 0 7 0 T ay (1)-¹² w12 W 3/2 3w/…

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Q: (a) Show that for n> 1 we have F2 = FnFn+1 − FnFn-1. (b) Use part (a) to show that F² + F² + . + F²…

A: Fn denote the Fibonacci sequence, satisfies Fn+1=Fn+Fn-1.              n≥2 And         F1=0,…

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: x1 – 2x2 – 4x3 = -4 -x1 + 3x2 + 6x3 = 5 -3x1 + 6x2 + 13x3 12 xi = Ex: 42 : x2 = Ex: 42 : X3 = Ex: 42

A: System of non homogenous equation problem....

Q: The sum of three consecutive integers is 12 more than twice the largest integer. Set up and equation…

A: Let the 3 consecutive numbers be a, a+1,a+2 Their sum is a+a+1+a+2 Here 12 more than twice the…

Q: If an antibiotic is taken orally, only a fraction of the antibiotic is actually absorbed in the…

A: I am going to solve the given problem by using some simple algebra to get the required result.