Find the Inverse Laplace of the following and show your complete solution F(s) s +1 9s? - 6s + 5

Q: DERIVE THE FF. FUNCTIONS: )y (x*+x+1)*: FwO y"

A:

Q: Determine a mapping of the form (x, y) (_) from y = f(x) for each of the following. y = 3f(2x)…

A:

Q: or f(x) = Vx – 1, g(x) = x² - 3, find fog and go f. Give the domain of each mposition

A: Given f(x) = x-1           g(x) = x2-31) f∘g(x) = f(g(x))                   =(x2-3)-1…

Q: Evaluate the function: dx (x+1)–Vx+1

A:

Q: Write f(t) = 7e.8t in the form f(t) = Pob' and determine Po and b. (Give exact answers using…

A: given that  f(t) =7e1.8t  = 7(e1.8) t .......... (1)  and f(t) = Pobt............ (2)  Now on…

Q: a) Find the local extreme values of the function f(x,y) = 2xy – x² – 2y2 +3x + 4. %3D

A:

Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: Find the roots using Bairstow's method of the function f (x) = x* – 2x3 + 2x² + 3x – 4. Use u, = 1…

A:

Q: Sketch y = x3 – 1

A: Given y=xx3-1

Q: (B): For the function f(x) sinx, let x, = 0, x1 = 0.6, x2 0.9.Construct Lagrange polynomial %3D…

A: Given fx=sinx, x0=0, x1=0.6, x2=0.9. The lagrange polynomial interpolation of order 2 for a function…

Q: Evaluate the function: S 4ry(6+y/2)dy

A: topic - indefinite integral

Q: V(d) Models Erica's vertical distance from the top the valley (in kilometers) after walking d…

A: Given, V(d) models Erica's vertical distance from the top the valley in kilometers after waling d…

Q: Consider the functions: f(t) = 16t and 9(t) = e. Using the definition of convolution find integer…

A: Given the given functions are ft=16tgt=e4t Apply convolution f*gt=∫0tfTgt-TdT

Q: Transform the function y=6x-1rlght 3, down 4 , and reflected over the x-axis

A:

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: f(2) =2x² + y+i(y² – x)

A:

Q: Determine the domain for r(t) = √4-ti + √tj-k

A:

Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

A:

Q: Find the linearization at x = a. 1 f(x) == ₁² a = 7 x4 (Express numbers in exact form. Use symbolic…

A: Linear approximation at x=a

Q: let 9₁, 92, Yn reprecent the order statistic Prom Fo(x). Where Fo(Y) is the cumulative funcation Yxx…

A: We have a random sample x1, x2,...,xn of size n. Y1, Y2, ...., Yn represents the order statistics of…

Q: dx (b): Evaluate the Jo (1+x)(2+x)/x(1-x)

A:

Q: 3 Evaluate f(x) =x°+6x, (fof)(3) = ? O 91,395 O 2025 O 45

A: Given: fx=x3+6x To find the composite function of f∘f3 the composite function is defined as f∘gx=fgx

Q: Find the Curl of the function f=(3x-2y)k ?

A: Given: Find the Curl of the function f=(3x-2y)k We know that curl of f=∇×f

Q: 9. Find the center and radius of the circle z? + y? -2r+ 8y-1=0

A: We first write the given equation in standard form.…