4 D. 3 In the diagram above, 1 = 2x+20 and 22 = 3x+10. Find the measure of 21. Z1 = [ ? ]° %3D 2

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

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Q: y? If dy 1 then find the value of at the point (-3, 2) 62 dx 62 2a? -362 2a? 362 2a? 3a? 262 +

A: Given that, x2a2+y2b2=1 We need to find the value of dydx at the point (-3,2)

Q: 4x2 +y d'y when = 2 and y = 1. 17 then evaluate %3D dx? (Answer accurate to two decimal places.)

A: This question can be solved using the concept of second order derivative.

Q: TE/2 oximate value of S12 V1- 0.5sin²@d@

A: f(θ) = √(1-0.5 sin2θ) a = 0, b = π/2 length of subinterval = [π/2 -0]/6…

Q: y=sin?t+ tant, x=- In(– cost) – e sinr, find the value of y' when t= 4 여 V2-e ? 6 2+ Vze V? 2-Vze 2…

A: We have to find dy/dx

Q: B L 30° D 30 K 15 to 15° 30 15° In the diagram above, BMC= LAML= GMH = x° + 5°, and HMI=x° - 10°. V…

A: We will solve the problem

Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…

A: Solve the following

Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: (x ton ty) dx - xdy =0 classitication and Solution by appropiate methed cs CamScanner ile tarandı

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Q: 2. Let y = x? 4x2 . LA. Find "dy". B. Find the value of "dy" when x = 4 and dæ = 0.01.

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Q: d'y + k?y = 0 Give the degree of the equation dx Give the order of the equation (x* + 2y)dx – xdy =…

A: We need to tell the degree and order of the given differential equations:

Q: Q.41 The value of the quantity P, where P = | xe*dx, is equal to

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Q: 2. Find ( +x) dx, where B> 3. 27 a) 2 2 b) В2 + В— 12 27 c) 1 1 3 d) 12 – B² – B e) None of the…

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Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

Q: [(-k) dx = 10. Find the value of k for which %3D

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Q: t sect df 2/ V3

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Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

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Q: C 5 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: J. f(x) dx = area…

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Q: ,3 e s-axis is s = -t° + 12t- 45t m. elocity is zero. |

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Q: The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6…

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Q: lecessary steps. (a) / = V2r – 1 dz (b) ; dr edr +1

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Q: A. Solve the following equation using integrating factors found by inspection. 5. x(x? - y? - x)dx –…

A: Given differential equation is: x(x2-y2-x)dx-y(x2-y2)dy=0 To solve the equation using integrating…

Q: Q60, The diagram shows a trapezium. Disgran NOT aeeuwately drawn All the measurements are in…

A: Trapezium area

Q: d?y Find at t = -1 if x = e' , y = tet dæ? О А. -1 O B. 0 O C. 2 O D. e-1 O E. e

A: Given that: x=et and y=tet

Q: "f(x) = f' (5) = = ?. then %3D ?. I+5 (Answer accurate to 2 decimal places.)

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Q: 11. The value of k so that (y³ +kxy – 2x)dx + (3xy? + 20x?y³ )dy = 0is an exact equation is: С. -5…

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Q: r J (1(x) + 5)dx is equal to what? 1(x}dx = 12, then Choose the correct choice below. OA. 57 B. 27…

A: Definite integrals can be used to compute area under a curve. For example the integral ∫abf(x)dx…

Q: Find the solution of: y" +y=2e' ,y(0) = 0, y'(o) = 0 Select one: a. y 2sint-cost +e' O b. y…

A: Find the solution of: y" + y = 2et      ;.  y(0) = 0.  , y'(0) = 0.     Here i attached solution of…

Q: Consider the DE y/(4) +e*y" = x*y/. a) Its i) order is ii) degree is b) Generally, when we have a DE…

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Q: Approximate 3+ 2x using Simpson's rule (n-6), then find the percentage of error after comparing your…

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Q: Q.41 The value of the quantity P, where P = |xe*dx, is equal to

A: To find the value of the quantity P, where P=∫01 xex dx.

Q: évaluate the following: (Four only) r (5) r Č) 6Г (2.88) 2- ЗГ (0.88 ) T (-2,5 )ľ ( 4 ) 3- Г (2 )+ Г…

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Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: y = e* - Tese x. What is y'= TescX %3D y!? 2. నా

A: Given, y=ex-πcscx We have to find y'.

Q: An object is moving with velocity (in ft/sec) v(t) = t – 4t + 5. At t 0, the object has a position…

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Q: xye* - y?e*? у (2х2 — ху + 1)dx + (х — у)dу %3D 0 - a. xye** – y²e** = C b.xye** – 2y²e* = C C.…

A: It is some time  difficult to find integrating factor by inspection, some manipulation and…

Q: 18. A pH of 7. of 7, while dioxide in presented the lake's A) 4.0 B) 5.0 C) 5.7 D) 7.5

A: It is an important part of statistics. It is widely used.

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the…

A: We will find the implicit differentiation at a point.

Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

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Q: Find the solution of: y" +y = 2e' ,y(0) = 0, y'(0) = 0 Select one: a. y = sint – 2cost + e' O b. y =…

A: Proceed as shown below

Q: C 10 A 3 2- 1 1 2 3 4 To find the blue shaded area above, we would calculate: [1(x)d f(x)dx = area…

A: As shown in diagram, lower limit is 1 and upper limit is 2, Therefore a=1b=2

Q: Q2. Find the value of (D) for the given D.E if we use the variation of parameters method d²y - 2 dy…

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Q: Picture attached. Thanks in advance!

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Q: Find the solution of: y"+y=2e ,y(0) =0, y'(0) = 0 Select one: a. y sint-2cost + e b. y 2sint - cost…

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Q: 8. Find for y = csc²5x dx a. 5 cot 5x b. 5 cot 5x csc 5x c. 10 cot 5x csc 5x d. 10csc25x cot 5x e.…

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Q: Q2. Find the value of (D) for the given D.E if we use the variation of parameters method d'y +y…

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Q: driving to Dallas. Suppose that the distance to his destinatic ion after 25 minutes of driving, and…

A: It is given that the distance is a linear function of his total driving time. After 25 minutes, he…

Q: 8. Use variation of parameters. а. (D? — 1)у %3D ех + 1 Show Complete Solution Answers: a. y = c,e*…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.