Evaluate (D^(2)-3D+2)y=(1+e^(-x))^(-1) a. y = C1*e^x + C2*e^2x + (e^-x + e^-2x)*ln(1+e^-x) b. y = C1*e^x + C2*e^2x + (e^x + e^-2x)*ln(1+e^-x) c. y = C1*e^x + C2*e^2x + (e^-x + e^2x)*ln(1+e^-x) d. y = C1*e^x + C2*e^2x + (e^x + e^2x)*ln(1+e^-x) e. none

Q: Determine f(x) from the table: X f(x) -1 0.5 1 2 4 0 1 2

A:

Q: 1 L-1 (s + 1)2 S Select one: O a. -te^t O b. te^(-t) O c. te^t O d. t^2 e^(-t)

A: option (b) is correct. see below the answer and explanation

Q: Calculate |(1 – i)12|. e^6log2

A:

Q: Calculate A100 where A = 3 2 -2 -1 0 0 1 1

A: Given that,       A=3-10200-211    Let λ be the eigenvalue of A .Then det(A-λI)=0…

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A: Given y=c1+c2e-4x                      (1) On differentiating both sides , we get y'=-4c2e-4x…

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A:

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: Let f(x)=(2^x-2^-x)/2 and g(x)=(2^x+2^-x)/2.  Compute f^2-g^2.

A: in this question f(x) and g(x) is given f(x)=2x-2-x2 g(x)=2x+2-x2 we have to find f(x)2-g(x)2

Q: Is the equation( e^2x) + (xcosx) +(-2) =0 has real roots ?

A: Using mean value theorem for continuous functions

Q: w(x)=(x^3+1)^4 /(x−2)^5 w′(x)=(x−2)^F(x^3+1)^G[Hx^2(x−2)−J(x^3+1)]/(x−2)^K F= G= H= J= K=…

A: Finding w'(x)

Q: ((3x^-1 -3y^-1)/(y^-2 -x^-2))

A:

Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

A:

Q: Which equation below represents the inverse of f(x)=2v(x+1)-3? * O f^(-1) (x)=1/2 V(x-1)+3 O f^(-1)…

A:

Q: f (x) = 3^x and g(x) = ( 1/3)^x (a) Find f (-1) and g(3) (b) Find f (3/2) and g (-2)

A:

Q: what is the result of isolating x^(2) in the equation 10x^(2)-36y^(2)=100

A: Algebraic equations 10x^2-36y^2=100

Q: fill in the boxes with the missing exponets  (5^()x^()y^(-2))/(xy^())=(x^(2)y)/(25)

A:

Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

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A: 8 + e1-4x = 20 e1-4x = 12

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

A:

Q: How does (x-y+3)(x-y+1) = e^2x go to y=(x^2+4x+3-e^2x)/2(x+1) ??

A: Recall  the fact that Now, observe the fact that : ((2)…

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A: We have to solve the given differential equation   (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x)…

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A:

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: Find the inverse of f(x)=−5x−1 over -3x-2 f^-1(x) =

A: Let's find.

Q: Differentiate In(7x+8)^1/7

A: ln(7x+8)1/7