solve d2y/dx2 + 6dy/dx +9y=7e2x

Q: The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The cross sections…

A: a)The cross-sections perpendicular to the x-axis are circular disks with diameters lying along the…

Q: Please answer parts a and b

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Q: Help

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Q: Let R be the region in the accompanying figure. Fill in the missing limits of integration in the…

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Q: 4. 3

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Q: Evaluate the improper integral from the image and possibly prove that it diverges.

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Q: X Sy extreme points of f(x)=(23x)/(x^ x +…

A: Step 1: Provide the given function: y=1−4x2​​ Step 2: Solve for the first derivative of the…

Q: | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of the system with the following equations. dx dy dz = -4y+2z, =x-5y+2,…

A: Step 1: Given system of homogeneous linear ODE's in matrix form : X′=AX,where…

Q: *Use first derivative test

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Q: • Evaluate the surface integral s F dS where F= (3x, z,-y) and S is the part of the sphere x² +…

A: Surface Integral over a Parametrized SurfaceWe can evaluate a surface integral over a surface S…

Q: 79, 73, 72, 70, 72,56,81. What is the median daily high temperature, in degrees Fahre A 71 B 72.5 C…

A: Question 9Given: 79, 73, 72, 70, 72, 66, 81, 75 To find the median of the given data, arrange the…

Q: 3.4

A: Step 1: Ratio Test:The Ratio Test states that for a series ∑a_n​, the limit L as n approaches…

Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: please solve this step by step

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Q: Solutions to question 2 please

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Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = 2+2…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: Step 1: Set up the integral We will construct an integral with horizontal rectangles. The rectangles…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function is: R(x,y)=110x+160y−3x2−2y2−xy Find the partial derivative of R with…

Q: Find a formula for the general term a of the sequence, assuming that the pattern of the first few…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. ∞ Σne" n=1

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Q: Set up (But Do Not Evaluate) an iterated integral that computes the volume under the graph of…

A: Step 1:​Solid is bounded under the graph of h(x,y)=sin(x2+y2)and above the circle of radius one in…

Q: Evaluate the line integral F dr, where C is given by the vector function r(t). F(x, y, z) = (x + y²)…

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Q: 4. 2

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Q: A person's investment is expected to produce a continuous stream of revenue R of R(t) = 3000…

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Q: 2.5

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Q: Please see image

A: In any metric space, the shortest distance between two points is a straight line. Therefore, the…

Q: Solve each of the following

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Q: Let f be defined by image: (a) Determine where f is strictly increasing and where f is strictly…

A: To solve these questions, let's analyze the given function f(x) and then proceed with each part of…

Q: Determine if the series Σ(-1)" 5n 1/2 + 3 converges 3n² - 3 n=1 absolutely, converges conditionally,…

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Q: Find the value of x at which the function has a possible relative maximum or minimum point. (Recall…

A: Step 1: Given is the function below: f(x)=(6x−4)e2−6x Step 2: Let g(x)=6x−4 and h(x)=e2−6x.…

Q: For each of the following pairs of vectors x and y, find the vector projection p of x onto y. (a) x…

A: To find the vector projection of vector x onto vector y, we'll use the formula:projy​(x)=(x⋅y) /…

Q: Use the washer method to find the volume when the region between y = x² and y=x+2 is revolved around…

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Q: Question 6

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Q: 3. Submit answer Get help Practice similar Sof(x sin(y) - y cos(x))dxdy: = Submit answer Next item

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Q: Practice

A: Approach to solving the question: Detailed explanation:A. Vector m = 2k - fGiven vectors k = (2,1)…

Q: Ay 4000- 3500 3000 G 2500 2000 1500 1000 500 0- 0 2 4 6 8 10 12 Years after 1980 14 The blue curve…

A: From The Graph, In 1988, t=8At t =8,f′(t)=300 billion per year.

Q: 2.1

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Q: To compute ( 14 u = du = 4xy √√x²+y²+5 14 3 4xy dxdy √x²+y²+5 = Submit answer Next item dady you do…

A: The given double-integral is: ∫814​∫13​(x2+y2+5​4xy​) dx dy To evaluate the double integral,…

Q: 5

A: Step 1:​From the graph:g(−3)=3,g(−2)=2,g(−1)=−0.5g(0)=−2,g(1)=−2.5,g(2)=1,g(3)=3​Step 2:​(a) The…

Q: 5-10 Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the…

A: Step 1: calculation limit of or intersection point between these 2 curve  Step 2: limit set up and…

Q: -T K/N 2 Cose de 1+ (sin)² -2pi 2pi Pi pi

A: Step 1: Given,∫−2π​2π​​1+(sinθ)22cosθ​dθ Step 2: Let's solve this by using u-substitution…

Q: Test the series below for convergence using the Ratio Test. n=1 n+2 54n+1 The limit of the ratio…

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Q: Help please

A: substitute a1 and r in the formula an​=a1​rn−1Tge general term an of a geometric secuence can be…

Q: Use the properties of exponents to simplify the expression. Assume that all variables are nonzero.…

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Q: The area R in the plane is bounded by the curves given by (x = y^2 + 2), (y = x - 4) and (y = 0), as…

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Q: 2) A balloon advertising an open house is stabilized by two cables of lengths 20 ft and 30 ft…

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Find the point P on the graph of the function y=x√ closest to the point (4,0)

A: We can find the point P on the graph of the function y=x​ closest to the point (4,0) by minimizing…

Q: Let f(x) = x², and compute the Riemann sum of f over the interval [3, 5], choosing the…

A: Step 1:To compute the Riemann sum of f(x)=x2 over the interval [3, 5] using the right endpoints of…