Find the solution of the initial value problem y" + 6y + 18y = 0, v (-) = 0, v (²) y(t) = = = 6. How does the solution behave as t → ∞0? Choose one

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Q: Find the relative maximum and minimum values. f(x,y) = x³ +y³-21xy Select the correct choice below…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: (2) √(2x³² - 4x²) -4xº)dx (b) [(72+ + ²) dx (c) [(5x² + 7e +3x+2)dx 3x

A: In this question we have to solve the Integration.

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Q: eased equipment worth $70,000 for 5 years. If the lease rate is 5.75% unded quarterly, calculate the…

A: Please refer to the image below

Q: 5. Demonstrate the following identity: Ecosnt : cosme sin (m+1)0 sin n=0

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Q: The area of the region bounded by y = 1, y = A. In2 B. C.-In2 1 D.+ In2 2 and x = 2 is E. - In2 F.…

A: Topic:- application of integration

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Q: Does the series (-1)- Σ(-1) 4+² n=1 8 OA. OB. n5 Choose the correct answer below and, if necessary,…

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Q: Supposed z varies inversely with t and that z= 15 where t =12. What is the value of z when t =3? Z=

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Q: Find the outward flux of the field F = 6xyi + 4yzj + 2xzk across the surface of the cube cut from…

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Q: F.T. 3) If X(t) 4² _y(t) = x (2+-1) -it Ans: Yow) = + X(W) and X (W) = --J(W+1) W+1 [4+j(W+1)]² 2 (2…

A: Given that, Forior transform of x(t) is x(w). And x(ω)=w(2+jω)2 If y(t) = x(2t-1)e-jt  Then We have…

Q: Find the equation of the line tangent to the graph of f(x) = − sin (x) — 3 at x = 0. (Enter an exact…

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Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

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Q: Find the general solution of the differential equation. y (4) + 2y"+y = 9+ cos(4t). NOTE: Use C1,…

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Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: f(x, y) = -(x - 7)² In² (y + 4)−(4x + 7y)². a) Find all the first partial derivatives of the…

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Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: we will use second partial test.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given that , fx,y,z=x2+y2+z2 and constraint is x+y+z-27=0 find the extrema using Lagrange…

Q: Evaluate the limit. 1000x6x6 + x³ 1000+ 13x6 + es Give your answer in exact form. If the limit does…

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Q: et T(x, y, z)= 100+ x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80.…

A: Given: Tx,y,z=100+x2+y2sphere g= x2+y2+z2=80plane h =x-z=0

Q: Let k(x) = 2x (h(x) + 2x²g(x)). Given the following table of values, find k' (0). 0 3 3 -1 3 Provide…

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Q: Homework: HW03 (13.1) Vectors in the Plane Find the following vector. The vector in the direction of…

A: The vector in the direction of <a,b> of length l is given by, u=[l/√(a²+b²)].<a,b>

Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

Q: 5. S dx xlnx

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1<x<3x-3x≥3

Q: Find the solution of the given initial value problem in explicit form. 114 y(x) = y' = (1 – 3x)y²,…

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Q: 3. Find V x F for F(x, y, z) = -xZ x² + y² i+ -yz x² + y² =j+ x² + y²k.

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: The graph of a quadratic function with vertex (2, -1) is shown in the figure below. Find the domain…

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ x/q = pla and limx→ck = k. (Use…

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Q: Determine the solution y2(5) of the differential equation, given that it is satisfied by the…

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Q: Express your final answer at least three (3) decimal places.   Find the arc length of the curve y…

A: Concept: The arc length of the curve is given by  L=∫abds In rectangular form, ds is presented as…

Q: 3 dx (e³x + 1)

A: Find d/dx

Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: Y= x^5-2x^4+3x^2-5x+1 find the concavité upward and downward, show the graph and find the point of…

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Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

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Q: dx 1. Find the general solution of + dy y+ xy² + x³ x+x²y+y³ = 0 using DE with IC

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Q: √x dt 1+t² 2 em moves along a coordinate axis al ith velocity v(t) = 2t² -1 meters econd. Find the…

A: Topic:- calculus

Q: xy Find all second order derivatives for r(x,y)= 8x +9y xx (x,y) = Tyy (X,Y)= Exy(x,y)=ryx (x,y) = [

A: Given :rx,y=xy8x+9y

Q: 8. f(sin3x – cos4x) dx

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