6. Using the method of variation of parameters, what is the form of a particular solution of (D³ -4D)y=x-3e²x₂ A. 3p = Ax+ Be 2x + Ce-2x C. 3p = Ax+B cos 2x + C sin 2x B. p = Ax² + Bx³ + Cxe 2x D. 3p=A+Be2x + Ce-2x

Q: dr 9. = -r tan 0, when 0 = π, r = 2 de

A:

Q: Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y-3y² and…

A:

Q: By power series, solve the ODE y' - 2xy = 0.

A:

Q: If investment A has continuously compounded interest and an annual return of 2%, and Jane has $100…

A: To find how much money she have after 8 years if she had 100 dollars after 5 years.

Q: Find the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

A:

Q: The integeral costat is used in the analysis of beam displacements (and in optics). Evaluate this…

A:

Q: Use implicit differentiation in finding y 1. x²³+y³ =18xy 2. x²y + xy² = 6

A: Given, x3+y3=18xyDifferentiate…

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' & 'y' x=2y2-4 Now solve…

Q: Find the limit. 4 Ilm x3 52 5

A:

Q: 1. Sketch y₁ = log₂ (x-3) and y₂ = log, (x-3) on the same graph. Comment on the Y₁ 2 similarities…

A: We need to draw graph and find similarity. NOTE - As per Bartleby's guidelines we can solve only one…

Q: To evaluate lim 6 sin x, use the theorem that states that if c is a real number in the domain of the…

A:

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. Jill…

A:

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A: The given sequence an=6n+7n1n

Q: Find the derivative of f(x) = 8 In (2). Enclose arguments of functions, numerators, and denominators…

A:

Q: Complete the table for a savings account subject to 90 compoundings yearly Amount Number of…

A:

Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: Tutorial Exercise Use the position function s(t) = -4.9t² + 750, which gives the height (In meters)…

A: Let's find the value.

Q: Using the Mean Value Theorem, how small can ƒ(21) be, given the conditions below? f(3) = 17 and…

A: The objective of the question is evaluate the smaller value for f(21 )with help of given condition.

Q: -3 At t=0, a train approaching a station begins decelerating from a speed of 96 mi/hr according to…

A: Solution

Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

A: The given limit is limx→2x-3x-2

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: Solve the given differential equation. ex²dy=x√/10-y dx Choose the correct answer below. OA. 4√/10-y…

A:

Q: Specify the domain of the function f(x)=√5x+15 The domain of f(x) is x

A: Solve the following

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A:

Q: 19. e +e=e**y

A: This is a problem related to differentiation. Please follow the procedure given below.

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

A:

Q: Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t…

A: Solution of given question is written in below steps.

Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

A:

Q: Begin by graphing f(x)=3*. Then use transformations of this graph to graph the given function. Be…

A:

Q: The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots…

A:

Q: Find f  f''(x)= -2+36x-12x2      f(0)=5              f'(0)=16…

A:

Q: A bank pays compounded interest each year. Sue deposits $100 in the account, and after 3 years Sue…

A: Topic- differential Equations

Q: The graph below shows the function g (a), which is a transformation of f(x) = ²/ Using your…

A: We have to find the equation of the given graph.

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: If investment A has an annual return of 4% with continuously compounded interest, and Jane has $500…

A: Given: Interest rate, r = 4% =4/100=0.04 Final amount, A = $500 Number of years, t = 4

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 Σ…

A:

Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A:

Q: Let f(x) = 2x² + 5x - 7 x-1 = 1 and determine what value for f(1) would make Show that f(x) has a…

A: Solution of given question is written in below steps.

Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

A:

Q: A sphere of radius a is sliced parallel to the equatorial plane at a distance a−h from the…

A:

Q: A company's marginal cost function is MC = 28x4/3 - 14x3/4 + 1, where x is the number of units, and…

A:

Q: Problem 3.11 Calculate the differentiation of tan(x/y) = x + 6

A:

Q: 1 with convergence in For the following problem, given that 1-x (-1,1), find the power series for…

A:

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A:

Q: Find the average value of the function on the given interval. f(x)=x²-2; [0, 5] The average value is…

A:

Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

A:

Q: lem 3.5 an equation of the tangent line on the curve y = x + 1 that is parallel to the line 32:

A:

Q: New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet,…

A:

Q: Question 1: 10 Find the standard form of the equation of the ellipse and give the location of its…

A: The objective is to find the standard form of the ellipse.