A(s) = (86s - 78)/ (s+3)(s-4)(5s-1) A e^(t/5)+2e^(4t)-3e^(-3t) В e^(-t/5)+2e^(-4t)-3e^(-3t) c) e^(t/5)+2e^(4t)+3e^(-3t) e^(t/5)+2e^(-4t)-3e^(-3t) E e^(t/5)-2e^(4t)-3e^(-3t) F e^(t/5)+2e^(4t)-3e^(3t) G) e^(t/5)-2e^4t)+3e^(-3t)

Q: (a³b^5) x (a²b³) =

A: We know that,pq×pr=p(q+r) So,a3×a2=a(3+2)          =a5 b5×b3=b(5+3)          =b8 So, to find (a³b^5)…

Q: compute:  (3/5)^(n-2)x(10/9)^1-(n/2)

A: Please see the explanation below

Q: L = ? s3- O 2/3 t^2 O 2 142 O 3/2 t^2 3t*2

A: Using the table of Laplace transformation, it can be written that: Ltn=n!sn+1.

Q: (*+)(LX +ン 2" (2n +1)

A:

Q: 9x+5 = 276x – 10 276x-10

A: Make the bases equal both sides and than equate the exponents.

Q: p(t)=-1718^2+82000+10000

A: Given:p(t)=-17182+82000+10000

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: Find the solution of HLDECC: (4D^5-23D^3-33D^2-17D-3)y=0 the answer should be y=e^(-x)…

A: Given that the differential equation (4D5-23D3-33D2-17D-3)y=0. Find the solution of the given…

Q: Evaluate the equation   9^(4x) + e^(11x-7) = 0

A:

Q: What is the simplified form of i^(13) ?

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: ∑ n=1    1/9n^2-18n+8

A: Given ∑n=119n2-18n+8Now lets substiute n=1 and solve

Q: 6(x^(-4)x^(-10))^(-2)

A: We will simplify the problem

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: D^5−2D^4+4D^3−8D^2)y=48e^−2x−16sin(2x)

A:

Q: (81)^3/

A: given that  (81)^3/4

Q: (x^(2)-4y)/(2) x=4 y=-3

A:

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

A:

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: 2-1 4s - 4 s² - 16/

A:

Q: sec x)^2 - 1

A:

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: (4r^12-s^1/2)^1/2(30s^-5/4)^-1/5

A: Simplifying:

Q: 1/× + 5/2=1/4

A: Given expression is

Q: (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x) (a+1)

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

Q: ∑5 (-2) ^ k -1 K=1

A: Given, ∑5-2k-1

Q: (17v^(3)z^(5)-8vz^(2))-:(-4v^(3)z^(5)) Simplify your answer as much as possible.

A:

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

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

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: Why 3^(x+2)-10×3^(x)+1=0 is -2 or 0?

A: Put x=-2 or x=0 and check which 'x' satisfy the equation .

Q: (- 3/4) ➗ 3/7 - 2/3 + (- 1/3)^2

A: Given, (- 3/4) ➗ 3/7 - 2/3 + (- 1/3)^2