Question 9 of 10 q(x) = eª lnx %3D Select the correct response. O e In x - + eª ln x et +1

Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: Compute for the initial velocity of 3÷(cos(45)×38. Show your complete solution

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Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

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Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: Evaluate ſ _dx V16-x 4-x

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Q: 2. 01> 7 ( (E) 1<1<2 and 5 <r<6 OA 旧0 OB 近。

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Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: What is the volume of the solid formed by revolving the region bounded by a2 = 6y and y = 6 about…

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Q: 14. dy, where C: x = t, y = t², for 1 <t<2

A: Here, to evaluate: ∫Cxydy=∫12tt2(2t dt)=2∫12dt

Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: 3. dx Vx (2+3/2)5 3 3 dx = Vx (2+3,/x)5 Vx (2+3x)5 X,

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

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Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: Question

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Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: The error in the estimate of the cost of the wood is 120P

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

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Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

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Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A: We have to find linearly independent solution of given differential equation.

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

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Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

Q: da. Evaluate the integral Ja2 + 25 1 (a) -( :+ 25)을 + 25(교2 + 25)을 + C (x2 (e) * + 25) + * + 25) +C…

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Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. f(t) = sinh? t

A: Given

Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

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Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i+ 10 sin(t)j+ tk, 0<t< 2n

A: To find the arc length of the given graph.

Q: 2. Evaluate the integral where R is the trapezoidal region with vertices (1,0), (2,0), (0,-2), and…

A: A detailed solution is given below.

Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

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Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

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Q: dy = y + Vx² + y² dr Find the general solution of x-

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Q: sin(3x)e°*dx

A: