* What is inverse Laplace for 1 (s + 1)² + 1 y (s) =

Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

A:

Q: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q +4Q²-20³…

A:

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

A:

Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: + 75 3-4x Evaluate lim x-4 1 -4x-6 + Enter an exact answer. Provide your answer below: 13

A:

Q: *2t-h 5 if t=2 then h = -1 true O false O

A:

Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: solution

Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: Determine the maximum and minimum values of the function f(x)= ex cos²x on the interval x= [0,2π].

A:

Q: Show that any subset of bounded set is bounded

A:

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: So d e2x 0 e2-5 dx is equal to

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: The force of magnitude F-108 lb acts along the edge of the triangular plate. Determine the moment of…

A: We have to find moment value for the given force.

Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

A:

Q: 3-x x F(x) = (₂ + 1 (a) Find lim f(x) and lim f(x)? x-2+ x-2- (b) Does lim f(x) exist? why? x-2 x 3

A:

Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Function f(z)=u(x,y)+iv(x,y) is said to be analytic in a region R if:-(i) ux,uy,vx,vy exist and(ii)…

Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

A:

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

A:

Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: Consider h(x, y, z) = ln (xy) —sin (y²)+e** at the point P (1,1,0). 1 the following: (a) the…

A:

Q: 3. A right circular cone has the following dimensions: Radius: R Height: H Then its volume is R²H.…

A:

Q: What function do you know from calculus is such that its first derivative is itself? (Do not use the…

A: Here we have to choose the correct option.

Q: TC Find the area of the region bounded by y = cos x, y = 1, and x = =

A:

Q: Use the shell method to find the volume of the solid formed when a hole of radius 1 is drilled…

A: We have to solve above problem.

Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the…

A: To find out the relative extrema and saddle points.

Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 6y = cos x 2 Determine…

A: We need to find order of D.E.

Q: Q1) L-1 s(s²-1) = a) cosht-1 Q2) The general solution of y"" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x…

A:

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Aw 2.f(x) 4 3. f (x) = x 9 =

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: are cot y dy y³

A:

Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

A:

Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: 6- Find the volume of a solid, use the Cylindrical Shells method, which involves rotating the region…

A:

Q: Find the area of the region described. 4 1 The region bounded by y = and y = - 1-x 2

A: To find the area bounded by the curves y=43&y=11-x2. The region bounded by the curves is:

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

A:

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: Rewrite the following quantities mo 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne*

A:

Q: Let f(x) = 2.5x² - 2.2c. Use the difference quotient and h = 0.001 to estimate the slope of the…

A:

Q: tion f(x) given below, evaluate lim f(x) and lim f(x). X48 X118 f(x) = x + √√x² + 3 answer below:

A:

Q: Question 4. A lamina with the density p(x, y) = x² is bounded by the curves y = 3x² and y=x² +2. 1)…

A: Let's find mass of lamina.

Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 + x − 12   Approximate…

A: The given function y=x2+x-12

Q: Using implicit differentiation, find Provide your answer below: dy dx Content attribution dy dx √xy…

A:

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

A:

Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: Find the transition points. y = 3x - 3x² In(x) (Use symbolic notation and fractions where needed.…

A: