1 Describe how the graph of the function g(x) = Vx can be obtained from the basic graph. Then graph the function. ....

Q: ERROR. Problem: Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3, y'(0)=5 using Laplace a...

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Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which ...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Obtain the solution of the following differential equations. 1. xdy − ydx = x^2dy 2. xdy − ydx − √x...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A: for the exact DE we have to make it separable DE so that we can separate the variables and then inte...

Q: In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following func...

A: according to our guidelines we are supposed to answer only the first question if you want any partic...

Q: y = Ae2* + Bxe2x

A: The solution is given in the next step.

Q: 1. Using the definition, find the derivative of f (x) = x² – 8x + 9 at the number x = a.

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Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: S cos(7x) cos (18x)dx

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Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: Sketch the graph of the following piecewise defined function. Label three points on each piece and g...

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Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+ y...

A: Using method of exact differential equation.

Q: 1. Consider the region bounded by y = x and y = Vx, shown below. | Y Find the volume of the solid ob...

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Q: 3cot 3t csc2 3tdt 4+3cot 3t'

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Q: Find the Differential Equation of number 3 question [2x+ycos(xy)]dx + xcos(xy)dy = 0

A: Follow the procedure given below.

Q: (sinex- 2ycos x) dx = 2dy

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Q: O 2. Choose the best answer. Find the area of the triangle to the nearest tenth square a = 17 inches...

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Q: From the given technical description of the lot. Bearings N 48° 20' E Lines Distances АВ 529.60 m ВС...

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Q: Which of the following sequences are convergent sequences? Select all that apply. 7" O an n7 1 O an ...

A: sequences are given, we have to find the convergent sequence

Q: y' + y = x4 Your answer Solve the differential equation with appropriate method. Express final answe...

A: I am attaching image so that you understand each and every step.

Q: . Evaluate ry² dA, where D = {(x, y) | sin r < y s 1/2,0 <S7/6}.

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Q: 28. tan (2x) sec (2x) dx

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Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

Q: d (4z' +7z+8 2.)- dz Evaluating the derivative using quotient rule:

A: Given that ddz4z3+7z+8z Solution :using quotient rule ddz4z3+7z+8zzddz4z3+7z+8-4z3+7z+8dzdzz2z12z2+7...

Q: 2x + y cos (xy)] dx + xcos ( xy) dy = 0

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Q: Assume that f(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: ´In²sinx In the expression dx , the integrand is tanx

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Q: (x – 1)2 (y + 1)2 1? Which of the following lines is an asymptote of the hyperbola 9. O 3x + 2y - 1 ...

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Q: Find all values of m for which y = emx is a solution to the equation y" + y'- 2y 0.

A: Calculate y' and y" , then put value of y,y' and y" in given equation and solve it. 

Q: 1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with...

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Q: TC 12) csc 4 5T 14) cos 5T 16) cos 18) cos 7TC 20) csc 4. 4- 4-

A: 12) Given:           cscπ4         =1sinπ4 using the following trivial identity: sinπ4=12          =...

Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1 (...

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Q: 2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this p...

A: This question is based on property of perabola. With jelp of focus and directrix we find the equatio...

Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using einte...

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: X-3 -4 x2-3x-40

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

A: Given:- It is known that the population of a certain country at time t is proportional to the people...

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: b. [3f(x) - 4g(x)]dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

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Q: On the graph of the function f(x) the following sequence of transformations is performed: 1. vertica...

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Q: 2. In problems 1-5 verify that the indicated function y Ø(x) is an explicit solution of the %3D give...

A: We have to find verify given indicated function is an explicit solution of differential equation.

Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: Find the General Solution y' = 1+3ytanx

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Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

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Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm/s...

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Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration