Use the method of variation of parameters to find a particular solution of the following differential equation. y" -8y' +16y=10 e 4x

Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

Q: e the graph of f(x) is given. Describe verbally how the graphs of the following functions can be…

A: Graphical transformation

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A: The given curves are x=2+y-42 and x=3.   Now find the point of intersection between the curve…

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A: We will use the definition of horizontal shrinking and reflection transformation to solve this…

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Q: redz S Find (1+2)² Itse DOCE 14e² +C +C +C +C

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given problem:- Find the volume V of the solid obtained by rotating the region bounded by the given…

Q: ✓ z Find J 1+sin -cos COS In sin 2+cos z 1+sin-z In | In 1+cos - 2 1+0 +C +C +C

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Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…

A: Given

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

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Q: Numerical Integration. Use the table provided for the integral to find the given Round each…

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Q: need

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Q: Which x-value is most useful in approximating 25.01? 26 16 27 25

A: Given, 25.013

Q: Calculate the indefinite integral using Partial Fraction Decomposition. X √(x − 2)(x + 1) dx - galmi…

A: We can evaluate the given indefinite integral by using the partial fraction method.

Q: Find the indefinite integral. I sini sin³ 70 √ cos 70 de

A: Given problem :-  ∫sin3(7θ) √cos(7θ) dθ

Q: 2- Find the solution of the diff. equ. dy ty Six dx

A: First Order differential equation :        Consider the differential equation…

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. The point P(2,-1) lies on the…

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Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: 7. Prove that: (3) (a) (4) (b) sin20 cos20-1 in (-0) + cos (- 0) = cost -cote =

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Q: For the surface 4x² +2²-y²=9, classify the trace when z = 1. O line O hyperbola O ellipse O parabola

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: 8. Solve the following equations for x (show all solutions for 0°≤ x ≤ 360°): (4) (a) 4sin(x-30°) -…

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Q: the square. Be sure to show all Solve the following equation by steps and round final solutions to 3…

A: Given equation  6x2+24x-18=0Here a=6, b=24, c=-18Use quadratic formula with a=6, b=24,…

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A: We have to explain if a graph begins at a maximum value then which trigonometric function is easier…

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Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: 15 //dx Sº

A: Topic:- application of integration

Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

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Q: 1505 152 maxa 081 din 3a. Find the coordinates of the relative maximum and relative minimum of the…

A: Solve the following

Q: Problem 11. Discuss the function f(x) = in terms of its concavity, inflection points, and local…

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Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: Bob starts working at age 20 and his pay is $15,000 a year. Over the next 10 years he receives pay…

A: Let's solve.

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2

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Q: (2x5-x3-1)dx x³ - 4x

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Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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Q: projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: Data is given

Q: Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2 y

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Q: Find the derivative of the function f(y), below. It may be to your advantage to simplify first. f(y)…

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Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

Q: e. f. g. 1 2 [x² + 5x ²3³/dx S² น u² 2 + 3 du 0 1 [²x(x² x(x² + 5) dx 0

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Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

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Q: 3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth…

A: This is a problem related to exponential model function. Based on the general formula and concept we…

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Q: Mark heard that he could triple his money in 13 years if he invested it in a large business. What…

A: This question is related to compound interest, we will solve it using given information.

Q: 1 1 √√x+2 dx. 貼 Evaluate O A. 39 O B. 38.0894 O C. 15.6291 O D. 6.5798

A: Since you have asked multiple questions so we will solve first question for you.

Q: 6) How much isotope will be left after 80 years? A) 274 g B) 276 g C) 278 g 7) How long will it take…

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