y'' + 6y' + 8у = 3e-2х + 2x

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: We need to find rate of change of the base.

Q: dy 2.L/+R/+y=0 dx2 dx

A: Homogeneous Differential equation with constant coefficients.

Q: Evaluate x² + y² 1 x² + y² + 16 in the first octant. JJJ₂₂ dV, where E lies between the spheres x² +…

A:

Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: A flag of height F 1 55 feet sits atop a building of height B = 140 feet. The goal here is to find…

A:

Q: Let z=f(x,y) = 20x² - 25xy + 16y². Find the following using the formal definition of the partial…

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A:

Q: y = 3-x²

A:

Q: (e) Every function f defined on (-∞0, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞o…

A:

Q: please answer asap

A: Using integration formula,

Q: The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the…

A:

Q: S2022-Math X Untitled document - Google Doc x | + KgMnhSischCY6IngmjxmLQEz3U86qFNPsb6nZE/edit Login…

A: Given function, g(v)= v³-27v+5 So g'(v)= 3v²-27 To get critical numbers of g(v) we put g'(v)=0

Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN ? dx

A:

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

A:

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: 3 (3x+1) dx X-1 1₂2²

A:

Q: Find the derivative of the function. y = -2e - 5x²

A:

Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of f at x…

A:

Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

A: Use algebraic concept

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A:

Q: Your are driving away from Tampa. Your distance (in miles) away from Tampa x hours after 12:00 noon…

A:

Q: (a) Evaluate the following integrals: y=+2 x=+1 (i) [ (x+y²x² + y)dxdy y=1 x=0 4-2n 0=x/2r=2 (ii) -0…

A:

Q: (Laplace transform method) u(x) = -16 (x-1)(1)dt 6

A: Given :u(x)=x36-∫0xx-tutdt

Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = f(t)dt, find g'(3). X 543-2-1 1 2 3 4 5 -2 54 &…

A:

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

A: We have to find solution

Q: >dt CD Stat, cosat, 4trat

A:

Q: [1 0 1. Let A = = (i) AB (ii) BA (iii)Is AB=BA? 41 2 -3 4 -5 -1 1 2 VY and B = 23 -5 0 6-2 [-1 -3]…

A:

Q: Let y=-4x. As x approaches negative infinite then y approaches -3 True or False

A: Consider the statement Let y=-4x. As x approaches negative infinite then y approaches -3

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

A:

Q: For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5) dx…

A:

Q: G. Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/…

A:

Q: (2x)√2x + 1 dx

A:

Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

A:

Q: Give 1 problem for differentiation rule of exponential

A:

Q: By the definition of derivative prove that f(x) = = √x² + 5 is differen- 4. tiable at x=2.

A:

Q: Compute f(c+h)-f(c) at the indicated point. f(x) = 6x²; c=3 f(c+h)-f(c)= at c=3. (Type an expression…

A:

Q: Show all steps carefully! Given two points A(1,1,1) and B(-7,9,2)find: a) The vector equation for…

A:

Q: Amount of error  Percent of error

A: Given ,  1 cubic inch = 16 cubic cm  True value :  1 cubic inch = 16.39 cubic cm We have to find…

Q: b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit…

A: Concept: The data given presents the value of y when x values are given That is when x=1 y=5means…

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Evaluate using Trigonometric substitution

A:

Q: Show that 0 π/2 st sin? xdx TT/2 [ 0 cos? rdr 2

A: A detailed solution is given below.

Q: Match the following functions with the appropriate cross-section: I) z = (y²-1) cos(x) II) z=(x²-1)…

A:

Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

A: The given equation of the plane: x-7y-18z=0.

Q: The figure shows f, f', and f". Determine which is which. 7 The graph of fis O graph 3. graph 2. O…

A:

Q: [1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3]…

A:

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal…

A: