Given the function Y(s) = Use the Laplace Transform table to convert this function into f(t). f(t) Y(s) S - A N! sin(B 1) B2 cos( B t) s2 + B? N! (s - A)N+1 A sin(B r) (s - A)? + B2 5 - A ed cos(B r) (s - A)? + B2 A s(1) - 0 () = L 120 © s(1) - O s(e) = O s() - 120 s()-24

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

A: We have to solve above derivative 

Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year. Wri...

A: This is a problem related to exponential function. Based on the general formula we will answer the q...

Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

A:

Q: Given the function Y(s) (s - 5)4 Use the Laplace Transform table to convert this function into fit)....

A:

Q: 4 %3D ») f(E) =

A:

Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

A:

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

A:

Q: y² – 2x ry? dy = 0; y(-1)

A:

Q: Find f. f"(x) = 48x2 + 2x + 10, f(1) = 1, f'(1) = -5 f(x)

A:

Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

A:

Q: Find a particular solution y, of the differential equation: (a) 2y" + 4y' + 7y = x2 (b) y" + 9y = 2 ...

A:

Q: Linear coefficients in 2 variables: Solve the equation: (x-y+1)dx-(x+4y+1)dy

A:

Q: 6. Using L' Hopital's Rule, find the value of the limit L- lim +1

A:

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

A:

Q: 3. S cos ædæ from a = 0 to b = 5

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: 24. Vnt +1 n³ + n n=1

A:

Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

A:

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the me...

A:

Q: Sea(4 + e3*)-1 dx

A: Solving the problem by finding the solution of the integral.

Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

A:

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 8 cos(t) –...

A: Given  a(t) = 8 cos(t) - 3 sin(t),  s(0)=0,  v(0)=5

Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх - 15у - 32%3D7 4x - 20y – 4z =...

A: Answer is given below.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

A: ANSWER IS GIVEN BELOW.

Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

A:

Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E...

A:

Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...

Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: S ds V3s? + 1

A: Given query is to find the integral.

Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: 2 12. f (x) = (1tsinx) Cosx

A:

Q: 31, Watch help video he functions f and g are continuous and differentiable with (x) = g'(x). Select...

A: Given query is to find the value of g(2).

Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) &gt; g(x) so they do not ...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vector which satisfied the given condition in the following step.

Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: h as suggested by the equ )dx +3(x+ 2y)dy = 0 whem

A:

Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

A:

Q: Find the arclength of y 3x + 4 on 0 < x < 1

A:

Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Q3: Solve the following first order differential equations Use any method: dy 1-2у-4х dx 1+y+2x

A:

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinde...

A:

Q: (t -x)dt – tdx =0; when t = 1, x = 5

A: