4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

Q: 1. Find the respect y = 2x5-x² 3x - 20 derivatives with to X using dy using o 12-1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Solve the differential equation by variation of parameters. 1 4 + e* y" + 3y + 2y = Step 1 We are…

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Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: 2. Determine whether or not the series converges. State clearly the test you use, and show all…

A: We have to check the convergence

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Q: Evaluate the following integral: Stan x sec³ x dx

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Q: Use the following information to complete parts a. and b. below. Ιπ f(x) = sin x a == 6 a. Find the…

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Q: 5x *(2,3)=ze4%. yer. Then Vf= and Duf(1, -1) in the direction of the vector (1, 1) is

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Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Here is the solution:

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy => . dx = y³ – x³, y(1) = 4

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Q: 4. [ x sinh xi [ xả

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Q: Determine whether the given set of functions is linearly dependent or linearly independent on the…

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Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

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Q: 3 5 58 a. A-¹BT Given A = and B = -2 -5 3 7 find

A: Solution is given below:

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: In 1960, the population of a town was 1313 thousand people. Over the course of the next 50 years,…

A: Let's find population in 2030.

Q: Consider the following differential equation to be solved by variation of p y" + y = csc (x) ind the…

A: The solution is given below

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: derivatives-and-the-shape-of-a-graph and the Shape of a Graph -5-4-3 202. f'(x) For the following…

A: The given graph is of f'.        If    f'> 0 at a point , then  f is increasing.       If  f'…

Q: Consider the integral [ 92 (1) 64 3√z ſ** *³** ƒ(x, y)dydz. Sketch the region of integration and…

A: We can solve this as follows:

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

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Q: I. Solve the following integrals using Algebraic Substitution 1. ſ 2. S -1dx dy y+4-2

A: ∫un du = un+1n+1+C ∫1au+b du =1alnau+b+C ∫1u2+1du = tan-1u+C

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Given problem:- Find a set of parametric equations of the line with the given characteristics. The…

Q: 1 2. Determine whether the sequence a₁ =1+en² converges or diverges. If it converges, find its…

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Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: 3 12 Find the exact value of sin (a + B), if sin a= and sin ß= 5 13' sin (a+B) = ? OA. -16 65 OE. 33…

A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

Q: j dx (2x-3) 15-12x+cx 2

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Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: A force of 880 newtons stretches a spring 4 meters. A mass of 55 kilograms is attached to the end of…

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Q: Given the demand function q = 220-3p, calculate the elasticity of demand when p = 62. A. 0.46 B.…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Find a general solution (implicit if necessary, explicit if possible) of the differential dy…

A: The given differential equation is dydx=2xy

Q: ind the area below the curve the equation of y is equal to a function of x raise to two minus the…

A: Given: x2-2x+3, x=4 and x=-3

Q: Solve the given initial-value problem. y(x) = 4y" - 4y' 3y = 0, y(0) = 1, y'(0) = 3

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Q: h X f! 1-X.

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Solve the given differential equation by variation of parameters. x²y" + xy' - y = In(x) y(x) = ,X >…

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Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: Find the Cartesian coordinates of the given point: (r, 0) = (√3, 4). OA) (₁ (1/2, 1/³) 2 ○ (³,²) B)…

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Q: Evaluate cos A. -1 COS Select the correct choice below and, if necessary, fill in the answer box to…

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Q: Find angle t [in EXACT form] for the following terminal points on a unit circle, 0≤ t < 2π (a) P(0,…

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Q: 7. A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled…

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Q: 3/2 1/2 q q 1 2 dq

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Q: Determine whether 65"+¹ is convergent or divergent. O divergent O convergent a=1

A: