Solve the formula for the indicated variable. 1 1 1 for p (optics) C'

Q: I. Solve the given LDE using the method of undetermined coefficients. 1. (D? – 2D + 5) y = e* cos x

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Q: What is the value of O (less than 2n) that will satisfy the following equation? sin 20 +4sinO + 3 =…

A: We factored the given equation and solve it.

Q: follerving initial value problems by separating the Vasiables Solve the ye)=2 %3D %3D dx

A: Solution:Givendydx=y2-1x2-1; y(2)=2Formula:log ab =log a +log blog ab =b log aa2-b2=(a+b)(a-b)∫1x…

Q: 2) Find the exact simplified value. * (ese(-) TC cot-1 CSC 2.

A: We are given,  .

Q: 20 Find the value of E(12i2 + 2i + 5). i=1

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Q: Q.5: Solve (1+ y²) dx + x dy – tan-1 y dy = 0.

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Q: 3/ Solve the following equation x ei = 15 by Newton Raphson method let xi = 5

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Q: sin x – e-* = 0, [0,1]

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 1. The voltage E'applied across an inductor with inductance 'L'is given by E = L where the current…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use Newton-Raphson (Newton's) method to find the solution to the following within 10° x³2x²5= 0,…

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Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

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Q: Use Newton-Raphson (Newton’s) Method to find the solution to the following within 10−6

A: Algorithm Newton Raphson method Steps (Rule) Step-1: Find points a and b such that a<b and…

Q: 2. The pressure P of sound waves on a person's eardrum can be modeled by (2ar P = cos ( – 1100t)…

A: Given,       P=ar cos( 2πrI-1100 t )    And we have to simplify it for given values of a, r and I.…

Q: Solve the equation for 6 if 0° < 8 < 360° 2 sin e - si n 26 = 0 %3D

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Q: 17 Find p, q if ," f(x) dx + Sii' f(x) dx = [" f(x) dx. (Give your answers as whole or exact…

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Q: Solve the Followings : 1. dy (x + 4)

A: Given: dydx=(x-y)2Solution:dydx=(x+y)2⇒dydx=x2+2xy+y2Now separating x and y terms, we get-y2…

Q: (3xy² – 5y) dx + (2x²y – 3x) dy = 0 %3D

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Q: Use Newton's Method and a calculator to approximate In(25) by solving the equation e – 25 = 0 . Give…

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Q: The given equation has one real solution. Approximate it by Newton's method. x^5+x^4-4=0

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Q: * (5 – 2 In |In|3x||D x In |3x| Given: dx. What is an appropriate formula? du A B du © 2 fuau -2…

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Q: Q.1) The general solution of the equation e' cos , is:

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Q: + (1—п)P(х)и %3D (1 — п)Q("). dx Use an appropriate substitution to solve the equation 6 -y = æ14

A: Introduction: The solution to the differential equation of the form y'+p(x)y=q(x) is given by,…

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: Solve the equation for 0 if 0° < 0 < 360° 2 sin 6 - si n 26 = 0 %3D

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Q: n/2 cos x eSinx dx=? A 1-e В -е e-1 e/2

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Q: Solve y42-2 cos a yn+l + Yn = cos Cn.

A: Differential equation: yn+2-2 cos(α) yn+1+yn= cosαn (D2-2 cos(α)D+1)yn=cosαn

Q: (x – 2)² – In x = 0, [1,2]

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Q: Question dn- Iniegration by parns J co! (n) e * the Solve

A: We can solve the integral as follows:

Q: 2. Which of the following is correct in solving [2.xv 2x√√/2+x dx? (a) Substitution technique can be…

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Q: Find a general solution. Show the steps of derivation. Check your answer by substitution. Problem…

A: Since you posted many questions here with subparts..I can answer only one question. Please reupload…

Q: 1. Separate x and y variable and solve the following ODE: 2 dx y In x- dy y +1

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Q: x3 – 2x? – 5 = 0, [1,4]

A: The given equation is x3-2x2-5=0. We have to find the root of that equation by Newton -Raphson…

Q: e) Solve for P in the equation below. P + 100 3.6(304.8 – 2.2P) 1- cos 45

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Q: 5. y = cos x sin²x What is the appropriate formula? Solution:

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Q: Using trigonometric substitutions, xv16 4 dx is equal to: V16-x -In O This option Ths option 16 In…

A: Take substitution of x = 4sin(theta).

Q: 3. |2" – 8| dx sinh? (e-) 4. dx e cosh(e-*)

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Q: Solve the trig equation. Round your solution to two decimal places. 92 cos 6° %3D k

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Q: Differentiate

A: Given equation is as shown below.

Q: Find the values of e where 0s0<2n that satisfy each equation. 8. 2sin' 0-5cos0+1=0

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Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe) + (sin x + x?e + 2)y' = 0.

A: If the differential equation is given of the form M dx + N dy = 0 then Differential Equations is…

Q: eт 3 cot (In x) dx 30. х e/4

A: Integrate the function:

Q: 9. Find an appropriate guess for y,. You do not need to find the values of the coefficients. y" +…

A: Given y''+3y'+2y=5e-x+xcosx        D2+3D+2y=5e-x+xcosx The auxiliary equation is,…

Q: SOLVE THE EQUATIONS

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Q: 9. Find an appropriate guess for y,. You do not need to find the values of the coefficients. y" +…

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Q: how to solve this que s ti k n

A: To find how the reflection with respect to the line affects the function (graph y=f(x)=5^x)

Q: 3. following Solve the dy

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Q: 3. A resistance of 12 ohms, inductance of 2 henrys is connected in se. ies with a 10 volts battery.…

A: Given that the  LR  circuit so first draw the diagram then write the KVL  equation  then solve that…

Q: cosßdß 2+3sinß

A: