Rotate area between y =6-X and y= x^2-6x about X-axis. Compute the volume (Washer Method)

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Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

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Q: 3t² 14. ft csc2 zdt Туре. U= U' = =

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Q: A nonhomogeneous y"' +9y' +14y=28x² + 36x +4+24e*, Yp(x) = x + 2x² equation and a particular…

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Q: A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the…

A: In this question , we will find the dimensions of the box.

Q: Explain the meaning (by using intuitive definition) of each of the following equations. tan x (a).…

A: Given,limx→0 tan(x)x = 1we need to explain how we get this.as x→0 , tan(x)→0 and x =0 so, we get the…

Q: 3 1 13. Jisc(2)csc (2x)cot (2x)dx cresc 8 Type. U = U' =

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Q: solve y" -44 +34 = 20 coxx using the undetermined coefficients method

A: Given that , y''-4y'+3y=20cosx Solve using undetermined coefficient method.

Q: { f(x) = { { if -6 ≤ x ≤-2 if -2 < x≤1 if 1 < x≤6

A: we have given graph of a function and to find the equation of graph.

Q: Solve the initial value problem below for the Cauchy-Euler equation. ty"(t)-6ty' (t)+12y(t) = 0;…

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Q: VIBRATIONS OF SPRING Exercise a. A 2 lb. weight stretches a spring 1.5 inches. If the weight is…

A: All the given data are÷

Q: 0 3. Find all of the eigenvalues and corresponding eigenvectors of A = -2 1 -3 Show all work.

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Q: 1) fx³ + e* +2dx

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Q: The auxiliary equation for the given differential equation has complex roots. Find a general…

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Q: A bacterial population is 6,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

A: Rate of growth is 1,000·8t bacteria per hour after t hours

Q: The salinity of ocean water changes depending on how deep you are in the water when you measure it-…

A: To solve the following

Q: Determine the coordinates of the vertex of the following parables.  4)y = - 2x² + x 5)y = - 2x² +…

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Q: Find parametric equations for the line segment from (10, 4, 1) to (6, 6, -1). (Use the parameter t.)…

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Q: Find 3e dx f3e³ + C

A: ∫3exdx: Here taking constant out.   ∫afxdx=a·∫fxdx      =3∫exdx

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: Find the angle between the vectors. (First find an exact expression of the cosine angle and then the…

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Q: Write the first-four terms of approximating In (1.5) using Maclaurin series.

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Q: 2.1 Consider the region between the curve y = 2² and the x-axis on the interval [0, 2], shaded…

A: Curve y=x2, x=0, [0,2]

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Q: Find |(7.201³ (7x³ + 2x7) dx + C

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Q: Question #10 - Which integral best describes the area below? f(x)=x²-2x g(x) = x va 34 4 -1 7 2 7 2…

A: Area of the shaded region : Let y= f(x) and y=g(x) be two curve and f(x)≥g(x) on a,b , then the area…

Q: Find a function f(x) such that ƒ'(x) = 6e + 7x and f(0) = f(x) = – 4

A: we have given f'(x)=-6ex+7x,  and f0=-4

Q: (7 Find-dx X + C

A: ∫7xdx

Q: Find the equation of the ellipse satisfying the given conditions. Write the answer both in standard…

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Q: Subject: calculus

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Q: Question 1 A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at…

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Q: (b) You walk in a straight line away from a speaker. Suppose the volume of the sound, Vin decibels,…

A: You walk in a straight line away from a speaker. Suppose the volume of the sound, V in decibels, is…

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Q: Use the price-demand function below, to answer parts (A). (B), and (C) p(x)=90-3x (A) What is the…

A: The price-demand function is given below. px=90-3x, 1≤x≤25 (A) To find the revenue function. To find…

Q: Suppose that u and v are functions, defined on their natural domains by the formuae u(x) = √x and…

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Q: What substitution will be the most helpful for evaluating this integral? OA. x=2 sin 0 OB. x=2 tan 0…

A: Substitute x=2tanθ  dx=2sec 2θ dθ

Q: Use Fourier cosine series of f(x) = sin(Tr) to find 3 T² - 3² 1 T² - 12 T² - 5²

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Q: Complete the statement of the following defintion: Definition (Intermediate Value Property). A…

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Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: 5) 2 [4x 4x + =dx X

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Q: For each of the following integrals, indicate whether integration by substitution or integration by…

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Q: Find the area between the curves. x = -5₁ x = 3, y = 2x² + 5, y = 0

A: The equation of curves are: x=-5, x=3, y=2x2+5 and y=0 To determine: The area between the curves.

Q: Evaluate the definite integral 7 Li (2x + 5) dx

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Q: 49

A: ln4te6t

Q: B. Evaluate each Laplace transform of f(t) with improper integral L(f(t)) = fest f(t) dt 1. L(1) 2.…

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Q: The graph off shown below has vertical asymptotes at x = -5 and x = 6. Find the following limits.…

A: The graph of f shown below has vertical asymptotes at x=-5 and  x=6. To find the following limits.…

Q: Suppose sin = cos(0 + 0) 3 Find the following. sin(0 + 0) ,sino 20 29 Moreover, suppose is in…

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