es L-1 (s- 1)(s +2)/ %3D O (1/3) e^t-(1/3)e^(-2t) O (1/3) e^2t-(1/3)e^(-2t) O [(1/3) e^(t-1)-(1/3) e^(-2(t-1))]U(t-1) None of them

Q: |ff(x)=ln(6x^ 3 +3x^ 2 +3x+3) , find f^ prime (x) .

A: We have to find

Q: 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 =…

A:

Q: fay = 3x Ln(x²1) 3x = 3Ln(x²-1) + 3× · 3x BLn (x²-) +

A:

Q: ∫ln(7)0∫ln(7)0e^−(2x+5y)dydx

A:

Q: Q3// Find without calculator: Csc-(V2)

A: Given problem is  :

Q: 2.x S(1 + e2) e d O e^x + e^ -x + c O e^-1- e^x + c O (c^2x 1) / e^x + c O (c^-2x -1) e^x+ c

A: Integral is in some sense the inverse of the derivative. This is seen from the fundamental theorem…

Q: Which of the following is the exponential equation of the form y=ab^ x ) that passes through the…

A: A function is a relation which maps each value in its domain to exactly one value in its range. An…

Q: The logarithmic form of x^y = 1/3 is: Oy = -log(3)/log(x) y = log(3)/log(x) O3 = log(y)/log(x) Ox =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let x +3 f(x) = x + 7 f(-2) = %3D

A: Solution )

Q: Find A^ if A :

A:

Q: f(0)   =170/1+6e^-2x

A:

Q: ∫((X^2)/((1+X^2)^2)) dx

A:

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: 2-1 4s - 4 s² - 16/

A:

Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: What is the inverse of y(x)? y(x) = ln(x -2) + e^(x^3-4)+((x^3)-5)^(10/3)

A: Given equation is y(x)=ln(x-2)+ex3-4+(x3-5)103

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 coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: If x=5/3 then x^-2=

A: Topic - exponents

Q: How can I rewrite this 0.9x^(-0.1) y^(0.1) / 0.1x^(0.9) y^(-0.9) into this: 9y/x

A:

Q: L{8(t-5)} = O e^(-5s) O e^5s O e^s None of them

A:

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

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)…

Q: Find the x-intereprs of the Furchiuro below 90 5x+2 2) 9(A)= -2

A: Since you have posted multiple question at a time as per guidelines we can solve only one question…

Q: Find d/dx((x)(d/dx(x-x^2))

A:

Q: e^(x+7)=4

A: To determine the value of x.

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: (D^3 - D^2 +4D -4)y=8-e^x + 4cos(2x)

A:

Q: Use linearization to approximate the value of 1.95e^(1.95)^2 (−0.1)

A: We need to find approximate value of given function.