3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

Q: Find the coefficient on x^10 in each of the generating functions below. (h) (1-x^14)/(1-x)

A: Find coefficient of x^10

Q: Find an annihilator operator of (x + 1)e^2x

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: page 3 16) write hix)= 91+x functions. camposition ftwo

A: I have defined to function f and g written h=g°f

Q: Let f(x)=x^3 + 5. Explain why f(x) is invertible, then how all steps in the derivation of a formula…

A:

Q: Suppose that in modeling a solar panel system which measures the energy output through two output…

A: Given: The differential equation is y1''=3y1+10y2 and y2''=2y1+4y2. y10=0,  y20=1, y1'0=1 and…

Q: what is the transformation in order for g(x)-4log(-1/3x+2)+1? also, what is g^-1(x

A: Given,       g(x)=4log(-13 x+2)+1

Q: ball is thrown from an initial hei llowing. h=2+25t-5t^(2)

A:

Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

A:

Q: if T is inveriable and A is invertible then why do we denotate the inverse of A by A ^-1 ? can…

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: (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: Explain what happens to the base function when and why when it went from  a(x)= x^2 to i(x) =…

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

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

A: Using mean value theorem for continuous functions

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

A:

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the…

A: Applied product rule and found f'(x).

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

A:

Q: i^71

A: To find the value of i71, we can use the fact that i is equal to the square root of -1. -1=i

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

Q: Expand (i - 1) ^2

A: Topic = Complex number

Q: Obtain all the roots of the polynomial shown using the Newton-Raphson. You can develop and rely on a…

A: The given problem is to find the root to the given Polynomial with precision of 10-4 by using Newton…

Q: how did we get from x +2xy + iy^2 - ix^2 - iy to the next line?

A:

Q: 4cos^4(x)-5cos^2(x) +1= 0 [0, 2pi)

A: Sol :-             4 Cos4x - 5 cos2x + 1 = 0 [0 , 2π]                    Let Cos2x = t…

Q: Thanks, I don't know why ak does not contain z^K

A:

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: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

A:

Q: F(x)=√(x^4-5) invertible or not.

A: The given function is: F(x)=x4-5 The function is invertible if it is one-one and onto.

Q: using the zero product principle. x^(3)+8x^(2)+15x=0

A: The zero product principle states that if ab=0, then a=0,b=0, or both p and q=0. At least one of the…

Q: when you come across an ( i^2) that should be converted to ______

A: when you come across an i2 that should be converted to ______

Q: why X"/X=-lamba and T"/(a^2)*T=-lamba.

A: Consider the given information: X"/X=T"/(a^2)T =-λ

Q: Find p′(t), p′′(t), and p′′′(t) for the function p(t) = t^(100)+ 4e^(t)+ 16. (You can use rules or…

A: The function is p(t)=t100+4et+16